Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2041565661', 'doi': 'https://doi.org/10.1137/s0036144599354604', 'title': 'Numerical Study of Flows of Two Immiscible Liquids at Low Reynolds Number', 'display_name': 'Numerical Study of Flows of Two Immiscible Liquids at Low Reynolds Number', 'publication_year': 2000, 'publication_date': '2000-01-01', 'ids': {'openalex': 'https://openalex.org/W2041565661', 'doi': 'https://doi.org/10.1137/s0036144599354604', 'mag': '2041565661'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1137/s0036144599354604', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S160107561', 'display_name': 'SIAM Review', 'issn_l': '0036-1445', 'issn': ['0036-1445', '1095-7200'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320508', 'host_organization_name': 'Society for Industrial and Applied Mathematics', 'host_organization_lineage': ['https://openalex.org/P4310320508'], 'host_organization_lineage_names': ['Society for Industrial and Applied Mathematics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5100390663', 'display_name': 'Jie Li', 'orcid': 'https://orcid.org/0000-0002-3960-0017'}, 'institutions': [{'id': 'https://openalex.org/I859038795', 'display_name': 'Virginia Tech', 'ror': 'https://ror.org/02smfhw86', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I859038795']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Jie Li', 'raw_affiliation_strings': ['Virginia Tech'], 'affiliations': [{'raw_affiliation_string': 'Virginia Tech', 'institution_ids': ['https://openalex.org/I859038795']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5091854649', 'display_name': 'Yuriko Renardy', 'orcid': 'https://orcid.org/0000-0002-4935-5027'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Yuriko Renardy', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 5.19, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 104, 'citation_normalized_percentile': {'value': 0.979635, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 96, 'max': 97}, 'biblio': {'volume': '42', 'issue': '3', 'first_page': '417', 'last_page': '439'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11382', 'display_name': 'Fluid Dynamics and Heat Transfer', 'score': 0.9993, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T11382', 'display_name': 'Fluid Dynamics and Heat Transfer', 'score': 0.9993, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12141', 'display_name': 'Fluid Dynamics and Thin Films', 'score': 0.9977, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11751', 'display_name': 'Lattice Boltzmann Simulation Studies', 'score': 0.9973, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/reynolds-decomposition', 'display_name': 'Reynolds decomposition', 'score': 0.45943066}, {'id': 'https://openalex.org/keywords/magnetic-reynolds-number', 'display_name': 'Magnetic Reynolds number', 'score': 0.4444529}], 'concepts': [{'id': 'https://openalex.org/C182748727', 'wikidata': 'https://www.wikidata.org/wiki/Q178932', 'display_name': 'Reynolds number', 'level': 3, 'score': 0.90526056}, {'id': 'https://openalex.org/C57879066', 'wikidata': 'https://www.wikidata.org/wiki/Q41217', 'display_name': 'Mechanics', 'level': 1, 'score': 0.64935213}, {'id': 'https://openalex.org/C63931686', 'wikidata': 'https://www.wikidata.org/wiki/Q7319682', 'display_name': 'Reynolds decomposition', 'level': 5, 'score': 0.45943066}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.44773006}, {'id': 'https://openalex.org/C179407788', 'wikidata': 'https://www.wikidata.org/wiki/Q1852720', 'display_name': 'Magnetic Reynolds number', 'level': 4, 'score': 0.4444529}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.4084171}, {'id': 'https://openalex.org/C157334427', 'wikidata': 'https://www.wikidata.org/wiki/Q7319639', 'display_name': 'Reynolds equation', 'level': 4, 'score': 0.3653574}, {'id': 'https://openalex.org/C196558001', 'wikidata': 'https://www.wikidata.org/wiki/Q190132', 'display_name': 'Turbulence', 'level': 2, 'score': 0.12872878}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1137/s0036144599354604', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S160107561', 'display_name': 'SIAM Review', 'issn_l': '0036-1445', 'issn': ['0036-1445', '1095-7200'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320508', 'host_organization_name': 'Society for Industrial and Applied Mathematics', 'host_organization_lineage': ['https://openalex.org/P4310320508'], 'host_organization_lineage_names': ['Society for Industrial and Applied Mathematics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 53, 'referenced_works': ['https://openalex.org/W146902109', 'https://openalex.org/W1966158133', 'https://openalex.org/W1971569867', 'https://openalex.org/W1976020878', 'https://openalex.org/W1978902195', 'https://openalex.org/W1979240490', 'https://openalex.org/W1987005672', 'https://openalex.org/W1997027646', 'https://openalex.org/W1999546491', 'https://openalex.org/W2002377832', 'https://openalex.org/W2002825244', 'https://openalex.org/W2009041813', 'https://openalex.org/W2013043910', 'https://openalex.org/W2024324930', 'https://openalex.org/W2024447265', 'https://openalex.org/W2028209757', 'https://openalex.org/W2031095063', 'https://openalex.org/W2032090312', 'https://openalex.org/W2033160387', 'https://openalex.org/W2035700168', 'https://openalex.org/W2047030100', 'https://openalex.org/W2048677850', 'https://openalex.org/W2054680671', 'https://openalex.org/W2055847336', 'https://openalex.org/W2076536041', 'https://openalex.org/W2079213760', 'https://openalex.org/W2080922987', 'https://openalex.org/W2089956497', 'https://openalex.org/W2095457288', 'https://openalex.org/W2095568897', 'https://openalex.org/W2107565076', 'https://openalex.org/W2115472437', 'https://openalex.org/W2121424091', 'https://openalex.org/W2123080125', 'https://openalex.org/W2124231247', 'https://openalex.org/W2136154313', 'https://openalex.org/W2140905921', 'https://openalex.org/W2151248200', 'https://openalex.org/W2151317657', 'https://openalex.org/W2152383663', 'https://openalex.org/W2152694125', 'https://openalex.org/W2153357488', 'https://openalex.org/W2153863534', 'https://openalex.org/W2162507479', 'https://openalex.org/W2165329919', 'https://openalex.org/W2166340221', 'https://openalex.org/W2990607430', 'https://openalex.org/W3038919467', 'https://openalex.org/W3146983475', 'https://openalex.org/W4232133220', 'https://openalex.org/W4285719527', 'https://openalex.org/W4376596376', 'https://openalex.org/W67636708'], 'related_works': ['https://openalex.org/W599815438', 'https://openalex.org/W4382537046', 'https://openalex.org/W2704632673', 'https://openalex.org/W2112288669', 'https://openalex.org/W2102422501', 'https://openalex.org/W2049395274', 'https://openalex.org/W2042945849', 'https://openalex.org/W1973811740', 'https://openalex.org/W1970226611', 'https://openalex.org/W1968608664'], 'abstract_inverted_index': {'Previous': [0, 1463], 'article': [1, 3, 1464, 1466], 'Next': [2, 1465], 'Numerical': [4, 400, 464, 1297, 1550, 1572, 1656, 2120, 2198, 2374, 2564, 2584, 2596, 2774, 2872, 2893, 2933], 'Study': [5, 1573, 2490], 'of': [6, 8, 47, 219, 289, 323, 368, 402, 404, 466, 600, 628, 716, 740, 769, 778, 783, 812, 875, 908, 929, 960, 990, 996, 1025, 1030, 1096, 1129, 1155, 1180, 1210, 1240, 1268, 1299, 1327, 1332, 1368, 1374, 1409, 1415, 1470, 1481, 1494, 1507, 1532, 1552, 1574, 1581, 1596, 1609, 1619, 1622, 1628, 1644, 1655, 1739, 1749, 1770, 1792, 1805, 1831, 1839, 1866, 1884, 1896, 1919, 1943, 1963, 1979, 2004, 2017, 2029, 2053, 2068, 2082, 2141, 2161, 2167, 2181, 2187, 2200, 2225, 2233, 2304, 2315, 2329, 2331, 2335, 2339, 2368, 2396, 2418, 2424, 2427, 2453, 2467, 2503, 2527, 2546, 2566, 2598, 2606, 2620, 2648, 2652, 2671, 2717, 2729, 2753, 2776, 2802, 2809, 2826, 2849, 2852, 2854, 2874, 2895, 2900, 2919, 2935, 2945, 2968, 2982, 2997, 3018, 3026, 3041, 3054, 3077, 3087, 3102, 3110, 3126, 3133, 3157, 3163, 3183, 3208, 3231, 3237], 'Flows': [7, 3072], 'Two': [9, 1478, 1582, 1916, 2496], 'Immiscible': [10, 1479, 1583, 1917, 2425], 'Liquids': [11], 'at': [12, 688, 3044], 'Low': [13], 'Reynolds': [14, 43, 1460, 2695, 3267], 'NumberJie': [15], 'Li': [16, 20, 621], 'and': [17, 21, 38, 65, 156, 158, 193, 212, 221, 252, 258, 283, 317, 319, 327, 336, 357, 358, 395, 397, 459, 460, 489, 507, 518, 550, 567, 592, 594, 622, 623, 657, 763, 764, 781, 803, 804, 837, 839, 866, 868, 881, 903, 923, 924, 952, 954, 966, 1056, 1057, 1094, 1123, 1124, 1149, 1184, 1213, 1232, 1233, 1243, 1272, 1292, 1293, 1330, 1360, 1362, 1366, 1371, 1400, 1402, 1496, 1540, 1559, 1585, 1615, 1646, 1868, 1892, 1935, 1965, 2013, 2060, 2071, 2096, 2109, 2119, 2235, 2247, 2307, 2430, 2443, 2477, 2521, 2523, 2550, 2568, 2631, 2672, 2750, 2787, 2800, 2828, 2985, 3073, 3083, 3148, 3155, 3235, 3259, 3284], 'Yuriko': [18, 22, 278, 711, 900], 'RenardyJie': [19], 'Renardyhttps://doi.org/10.1137/S0036144599354604PDFBibTexSections': [23], 'ToolsAdd': [24], 'to': [25, 93, 333, 530, 3107], 'favoritesExport': [26], 'CitationTrack': [27], 'CitationsEmail': [28], 'SectionsAboutAbstractWe': [29], 'review': [30], 'our': [31], 'recent': [32], 'results': [33], 'on': [34, 603, 808, 815, 1270, 1701, 1982, 2183, 2261, 2312, 2421, 2491, 2658, 2748, 2763, 3047, 3075], 'fingering,': [35], 'bamboo': [36], 'waves,': [37], 'drop': [39, 338, 407, 1211, 1241, 1334, 2824, 2876, 3048, 3201], 'breakup': [40, 403, 843, 1214, 1244, 1414, 3049, 3101, 3156, 3202], 'in': [41, 171, 260, 292, 408, 672, 695, 719, 744, 844, 905, 963, 1027, 1064, 1088, 1102, 1131, 1186, 1215, 1245, 1275, 1303, 1335, 1377, 1412, 1474, 1529, 1537, 1613, 1649, 1744, 1785, 1811, 1816, 1881, 1889, 1911, 1941, 1957, 2007, 2037, 2064, 2093, 2116, 2157, 2229, 2265, 2269, 2288, 2376, 2399, 2447, 2552, 2579, 2586, 2602, 2676, 2679, 2693, 2719, 2784, 2903, 2988, 3014, 3160, 3203], 'low': [42, 2694], 'number': [44, 1461, 2696, 3268], 'flows': [45, 262, 1462, 1648, 1681, 1738, 1804, 2940, 2964], 'composed': [46], 'two': [48, 692, 909, 1556, 1885, 2162], 'viscous': [49, 406, 438, 468, 846, 1182, 1216, 1416, 2159, 2340, 3104], 'liquids': [50, 1611], 'under': [51, 1834, 2725, 3050, 3178], 'shear.[1]': [52], 'Google': [53, 55, 111, 113, 137, 139, 523, 733, 735, 1145], 'Scholar[2]': [54], 'Scholar[3]': [56], 'D.': [57, 153, 306, 565, 869, 870, 955, 956], 'Joseph,': [58, 871, 957], ',': [59, 62, 66, 144, 148, 152, 157, 194, 213, 243, 246, 249, 253, 277, 280, 284, 308, 311, 314, 318, 392, 396, 490, 564, 568, 589, 593, 654, 658, 834, 838, 863, 867, 949, 953, 1150, 1357, 1361, 1396, 1401], 'R.': [60, 127, 315, 861, 947, 1013, 1046, 1355, 1363], 'Bai,': [61, 862, 948], 'K.': [63, 864, 950], 'Chen': [64, 865], 'Y.': [67, 393, 590, 624, 685, 801], 'Renardy,': [68, 279, 399, 596, 625, 686, 712, 901], 'Core‐annular': [69], 'flows,': [70, 847, 1189, 1249, 1338], 'Annu.': [71, 224, 1201], 'Rev.': [72, 225, 1191, 1202], 'Fluid': [73, 97, 107, 226, 638, 648, 751, 787, 797, 886, 896, 912, 933, 943, 971, 981, 1069, 1079, 1192, 1203, 1251, 1261, 1307, 1317, 1340, 1350, 1419, 1429, 1661, 2188, 2286, 2355, 2499, 2811], 'Mech.,': [74, 98, 227, 639, 752, 788, 887, 913, 934, 972, 1070, 1193, 1252, 1308, 1341, 1420], 'Vol.': [75, 228, 1483, 1510, 1542, 1564, 1598, 1632, 1663, 1690, 1711, 1729, 1751, 1772, 1795, 1820, 1842, 1871, 1898, 1922, 1945, 1968, 1992, 2020, 2041, 2073, 2122, 2144, 2170, 2190, 2209, 2238, 2272, 2291, 2318, 2344, 2378, 2432, 2455, 2479, 2507, 2531, 2554, 2588, 2608, 2636, 2661, 2681, 2706, 2736, 2789, 2813, 2834, 2862, 2883, 2905, 2923, 2948, 2971, 3000, 3029, 3056, 3090, 3112, 3136, 3165, 3186, 3210], '29,': [76, 2273], 'Annual': [77, 230, 1218], 'Reviews,': [78, 231, 1219], 'Palo': [79, 232, 1220], 'Alto,': [80, 233, 1221], 'CA,': [81, 234, 1222], '1997,': [82], '65–90': [83], '10.1146/annurev.fluid.29.1.65': [84], '1435034': [85], 'CrossrefGoogle': [86, 239, 454, 731, 1018, 1051, 1227], 'Scholar[4]': [87], 'C.': [88, 126, 569, 737, 761, 1151, 1358], 'S.': [89, 146, 320, 355, 359, 1147], 'Yih,': [90], 'Instability': [91, 687, 739, 2494], 'due': [92], 'viscosity': [94, 635, 989, 1090, 1707, 2062], 'stratification,': [95], 'J.': [96, 106, 115, 142, 149, 160, 176, 186, 200, 265, 296, 309, 340, 350, 372, 384, 390, 430, 441, 451, 461, 553, 562, 578, 587, 620, 637, 647, 675, 750, 760, 786, 796, 805, 835, 885, 895, 911, 932, 942, 970, 980, 1054, 1068, 1078, 1125, 1165, 1175, 1230, 1250, 1260, 1280, 1295, 1306, 1316, 1321, 1339, 1349, 1398, 1418, 1428, 1445], '26': [99], '(1967),': [100, 445], 'p.': [101, 1384], '337.': [102], 'jfl': [103, 644, 793, 892, 939, 977, 1075, 1257, 1313, 1346, 1425], 'JFLSA7': [104, 645, 794, 893, 940, 978, 1076, 1258, 1314, 1347, 1426], '0022-1120': [105, 646, 795, 894, 941, 979, 1077, 1259, 1315, 1348, 1427], 'Mech.': [108, 649, 798, 897, 944, 982, 1080, 1204, 1262, 1318, 1351, 1430], 'CrossrefISIGoogle': [109, 189, 208, 273, 304, 353, 388, 427, 485, 544, 560, 585, 618, 650, 683, 709, 758, 799, 830, 859, 898, 919, 945, 983, 1081, 1118, 1143, 1173, 1205, 1263, 1319, 1352, 1391, 1431, 1453], 'Scholar[5]': [110], 'Scholar[6]': [112], 'Scholar[7]': [114], 'Li,': [116, 310, 391, 588, 806], 'Calcul': [117], "d'interface": [118], 'affine': [119], 'par': [120], 'morceaux': [121], '(Piecewise': [122], 'Linear': [123, 2442], 'Interface': [124, 1475, 1575, 2086], 'Calculation),': [125], 'Acad.': [128], 'Sci.': [129], 'Paris': [130], 'Sér.': [131], 'II,': [132], '320': [133], '(1995),': [134, 936], 'pp.': [135, 181, 345, 378, 420, 446, 478, 537, 611, 642, 702, 791, 823, 852, 890, 937, 975, 1007, 1040, 1073, 1110, 1137, 1196, 1255, 1311, 1344, 1423], '391–396.': [136], 'Scholar[8]': [138], 'Scholar[9]': [140], 'E.': [141, 462, 513, 520, 1053, 1294], 'Puckett,': [143], 'A.': [145, 312, 429, 525, 1058, 1394, 1433], 'Almgren,': [147], 'B.': [150, 519, 1229, 1397], 'Bell,': [151], 'L.': [154, 515, 1234, 1403], 'Marcus': [155], 'W.': [159], 'Rider,': [161], 'A': [162, 361, 432, 571, 597, 661, 1017, 1050, 1324, 1520, 1673, 1698, 2105, 2301, 2388, 2489, 2746, 2915, 2958, 3010, 3123], 'higher': [163], 'order': [164], 'projection': [165], 'method': [166, 434, 573, 666, 1524, 1676, 1857, 2961], 'for': [167, 364, 435, 574, 667, 1439, 1525, 1577, 1658, 1677, 1766, 1858, 2033, 2136, 2222, 2251, 2284, 2373, 2391, 2405, 2519, 2583, 2804, 2858, 2962, 3023, 3069, 3129, 3152, 3197, 3228, 3257, 3282], 'tracking': [168, 326, 1554], 'fluid': [169, 324, 992, 1092, 1442, 1720, 1768, 2107, 2164, 2759], 'interfaces': [170], 'variable': [172, 2309], 'density': [173, 1684, 2059, 2310], 'incompressible': [174, 437, 469, 669, 1679, 2938], 'flow,': [175, 223, 295, 606, 722, 931, 969, 1031, 1278, 1305, 1379], 'Comput.': [177, 187, 201, 266, 297, 341, 351, 442, 452, 543, 554, 579, 676, 1166, 1380, 1389, 1446], 'Phys.,': [178, 202, 267, 298, 342, 443, 555, 580, 677, 1167, 1447], '130': [179], '(1997),': [180, 300, 754, 915, 1136], '269–282.': [182, 421], 'jct': [183, 347, 448], 'JCTPAH': [184, 348, 449], '0021-9991': [185, 349, 450], 'Phys.': [188, 352, 416, 425, 453, 474, 483, 607, 616, 698, 707, 723, 819, 828, 848, 857], 'Scholar[10]': [190], 'William': [191], 'Rider': [192], 'Douglas': [195], 'Kothe,': [196], 'Reconstructing': [197], 'volume': [198], 'tracking,': [199], '141': [203], '(1998),': [204, 610, 851, 1169, 1449], '112–152': [205], '10.1006/jcph.1998.5906': [206], '99a:65200': [207], 'Scholar[11]': [209], 'Ruben': [210, 247], 'Scardovelli': [211], 'Stéphane': [214, 250], 'Zaleski,': [215, 321, 360], 'Direct': [216, 626, 958, 2994, 3066], 'numerical': [217, 433, 598, 810, 1325, 3016, 3150], 'simulation': [218, 401, 627, 959, 1298, 1551, 1722, 2052, 2199, 2367, 2565, 2597, 2775, 2873, 2894, 2934, 3151], 'free‐surface': [220], 'interfacial': [222, 961, 1498, 1680, 1762, 1933, 2112, 2963], '31,': [229, 1664, 1899, 1946], '1999,': [235], '567–603': [236], '10.1146/annurev.fluid.31.1.567': [237], '99m:76002': [238], 'Scholar[12]': [240], 'Bruno': [241], 'Lafaurie,': [242], 'Carlo': [244], 'Nardone,': [245], 'Scardovelli,': [248], 'Zaleski': [251], 'Gianluigi': [254], 'Zanetti,': [255], 'Modelling': [256], 'merging': [257], 'fragmentation': [259], 'multiphase': [261, 334, 1647, 2469], 'with': [263, 412, 471, 508, 633, 747, 883, 1592, 1682, 1687, 1705, 1862, 2057, 2111, 2207, 2576, 2722, 2965, 3052, 3180, 3206, 3224], 'SURFER,': [264], '113': [268], '(1994),': [269, 679, 1383], '134–147': [270], '10.1006/jcph.1994.1123': [271], '1278194': [272], 'Scholar[13]': [274], 'Adrian': [275], 'Coward,': [276], 'Michael': [281, 1265], 'Renardy': [282, 394, 591, 802], 'John': [285], 'Richards,': [286], 'Temporal': [287], 'evolution': [288, 782, 2032], 'periodic': [290, 601, 717, 813], 'disturbances': [291, 602, 718, 814], 'two‐layer': [293, 604, 720, 741, 816], 'Couette': [294, 605, 817], '132': [299], '346–361': [301], '10.1006/jcph.1996.5640': [302], '97m:76136': [303], 'Scholar[14]': [305], 'Gueyffier,': [307], 'Nadim,': [313], 'Scardovell': [316], 'Volume': [322, 3242], 'interface': [325, 690, 1553, 2724], 'smoothed': [328], 'surface': [329, 369, 576, 2577, 2898, 2937], 'stress': [330, 1500, 1937, 2830], 'methods': [331], 'applied': [332], 'flow': [335, 411, 439, 470, 632, 743, 1704, 1721, 1883, 1988, 2056, 2066, 2160, 2224, 2334, 2473, 2619, 2698, 2779, 3205], 'pendant': [337], 'pinching,': [339], '152': [343], '(1999),': [344, 377, 641, 822, 1284], '423–456.': [346], 'Scholar[15]': [354], 'Popinet': [356], 'front‐tracking': [362], 'algorithm': [363], 'the': [365, 504, 689, 779, 1162, 1187, 1328, 1372, 1413, 1530, 1533, 1578, 1620, 1817, 1859, 2201, 2305, 2308, 2332, 2364, 2369, 2492, 2850, 2920, 3015, 3019, 3130, 3153], 'accurate': [366], 'representation': [367, 1765], 'tension,': [370, 577], 'Internat.': [371], 'Numer.': [373, 385], 'Methods': [374, 386, 1536, 1657, 1815, 2087, 2375, 2585, 2783, 2857, 2902, 3227], 'Fluids,': [375, 417, 475, 608, 699, 820, 849, 1381, 1771, 1897, 1944, 2454, 2587, 2607, 3055, 3111, 3209], '30': [376], '775–793.': [379], 'ijy': [380], 'IJNFDW': [381], '0271-2091': [382], 'Int.': [383], 'Fluids': [387, 426, 484, 617, 708, 724, 829, 858, 1390, 1587, 1920], 'Scholar[16]': [389], 'M.': [398, 595, 840, 1176, 1290, 1322, 1354], 'a': [405, 413, 509, 696, 745, 770, 964, 991, 1300, 1333, 1589, 1652, 1745, 1786, 1812, 1863, 1912, 2230, 2336, 2392, 2400, 2572, 2603, 2624, 2700, 2875], 'simple': [409, 1378, 2726, 3108], 'shear': [410, 773, 1188, 1304, 1337, 1499, 1835, 1934, 1986, 2333, 2727, 3051, 3179, 3204], 'volume‐of‐fluid': [414], 'method,': [415, 1164], '12': [418, 2435, 2611], '(2000),': [419], 'phf': [422, 613, 825, 854], 'PHFLE6': [423, 614, 826, 855], '1070-6631': [424, 615, 827, 856], 'Scholar[17]': [428], 'Chorin,': [431, 547], 'solving': [436], 'problems,': [440, 532], '2': [444, 2046, 2437, 2908, 2951, 2974, 3032, 3139], '12–26.': [447], 'Scholar[18]': [455], 'F.': [456], 'H.': [457, 765, 921, 1083, 1393], 'Harlow': [458], 'Welsh,': [463], 'calculation': [465], 'time‐dependent': [467, 668], 'free': [472, 772, 2897, 2936], 'surface,': [473], '8': [476, 2212, 2589, 3213], '(1965),': [477], '2182–2189.': [479], 'pfl': [480, 704], 'PFLDAS': [481, 705], '0031-9171': [482, 706], 'Scholar[19]': [486], 'Rozhe': [487], 'Pei˘re': [488], 'Tomas': [491], 'Tei˘lor,': [492], 'Vychislitelnye': [493], 'metody': [494], 'v': [495], 'zadachakh': [496], 'mekhaniki': [497], 'zhidkosti,': [498], '"Gidrometeoizdat",': [499], '1986,': [500], '352–0,': [501], 'Translated': [502], 'from': [503, 3200], 'English,': [505], 'edited': [506], 'preface': [510], 'by': [511, 1161, 1723, 2154, 2543, 2571, 2673, 2942], 'N.': [512, 925], "Vol'tsinger,": [514], 'V.': [516, 832], 'Rukhovets': [517], 'Shneerov': [521], '87j:76008': [522], 'Scholar[20]': [524], 'Brandt,': [526], 'Multi‐level': [527], 'adaptive': [528, 1440], 'solutions': [529], 'boundary‐value': [531], 'Math.': [533, 542], 'Comput.,': [534], '31': [535], '(1977),': [536], '333–390.': [538], 'mcm': [539], 'MCMPAF': [540], '0025-5718': [541], 'Scholar[21]': [545], 'Alexandre': [546], 'Flame': [548], 'advection': [549], 'propagation': [551], 'algorithms,': [552], '35': [556], '(1980),': [557], '1–11': [558], '81d:76061': [559], 'Scholar[22]': [561], 'Brackbill,': [563], 'Kothe': [566], 'Zemach,': [570], 'continuum': [572], 'modeling': [575, 1643, 2108], '100': [581], '(1992),': [582, 889], '335–354': [583], '93c:76008': [584], 'Scholar[23]': [586], 'study': [599, 777, 811, 1326, 1408, 1700, 2303, 2747, 3017], '10': [609, 850, 1666, 1668, 1775], '3056–3071.': [612], 'Scholar[24]': [619], 'unsteady': [629], 'axisymmetric': [630, 967, 1526], 'core‐annular': [631, 876, 906, 930, 968], 'high': [634, 1089, 1706], 'ratio,': [636], '391': [640, 1543], '123–149.': [643], 'Scholar[25]': [651], 'Yan': [652], 'Zang,': [653], 'Robert': [655], 'Street': [656], 'Jeffrey': [659], 'Koseff,': [660], 'non‐staggered': [662], 'grid,': [663], 'fractional': [664, 1741], 'step': [665], 'Navier‐Stokes': [670], 'equations': [671], 'curvilinear': [673], 'coordinates,': [674], '114': [678], '18–33': [680], '10.1006/jcph.1994.1146': [681], '95e:76064': [682], 'Scholar[26]': [684], 'between': [691, 1555], 'shearing': [693], 'fluids': [694, 1743, 1810, 1888, 2228], 'channel,': [697], '28': [700, 2255, 2358, 2383], '(1985),': [701], '3441–3443.': [703], 'Scholar[27]': [710], 'Weakly': [713], 'nonlinear': [714, 2444], 'behavior': [715], 'Couette‐Poiseuille': [721], 'A,': [725, 1004, 1037], '1': [726, 1488, 1545, 1567, 1603, 1693, 1714, 1732, 1754, 1777, 1798, 1845, 1874, 1903, 1948, 1950, 1971, 2023, 2076, 2100, 2127, 2147, 2214, 2241, 2277, 2321, 2347, 2412, 2484, 2510, 2512, 2559, 2591, 2613, 2641, 2684, 2686, 2711, 2741, 2769, 2794, 2818, 2839, 2867, 2910, 2953, 2976, 3034, 3059, 3061, 3093, 3117, 3141, 3170, 3191, 3215], '(1989),': [727], '1666–1676': [728], '10.1063/1.857548': [729], '90k:76051': [730], 'Scholar[28]': [732], 'Scholar[29]': [734], 'Scholar[30]': [736], 'Pozrikidis,': [738, 1152], 'creeping': [742], 'channel': [746, 2185], 'parallel‐sided': [748], 'walls,': [749], '351': [753], '139–165': [755], '10.1017/S0022112097007052': [756], '98j:76028': [757], 'Scholar[31]': [759], 'Lasheras': [762], 'Choi,': [766], 'Three‐dimensional': [767], 'instability': [768, 928, 1784, 2445], 'plane': [771, 1788, 1894], 'layer:': [774], 'An': [775, 1237, 1406, 1759, 1852, 3220], 'experimental': [776, 1238, 1407], 'formation': [780, 1024, 2825], 'streamwise': [784], 'vortices,': [785], '189': [789], '(1988),': [790], '53–86.': [792], 'Scholar[32]': [800], 'Comment': [807], '"A': [809], 'flow",': [818], '11': [821, 1995, 2837], '3189–3190.': [824], 'Scholar[33]': [831], 'Cristini,': [833], 'Blawzdziewicz': [836], 'Loewenberg,': [841], 'Drop': [842, 3175], 'three‐dimensional': [845], '1781–1783.': [853], 'Scholar[34]': [860], 'Lubricated': [872], 'pipelining:': [873], 'Stability': [874, 1830], 'flow.': [877], 'Part': [878, 1625, 2732], '5.': [879], 'experiments': [880], 'comparison': [882, 2302], 'theory,': [884], '240': [888], '97–142.': [891], 'Scholar[35]': [899], 'Snakes': [902], 'corkscrews': [904], 'down‐flow': [907], 'fluids,': [910, 1133, 1217], '340': [914], '297–317': [916], '10.1017/S0022112097005351': [917], '98d:76072': [918], 'Scholar[36]': [920], 'Hu': [922], 'Patankar,': [926], 'Non‐axisymmetric': [927], '290': [935], '213–234.': [938], 'Scholar[37]': [946], 'Kelkar': [951], 'waves': [962, 2446, 2601], 'high‐viscosity‐ratio': [965], '327': [973], '(1996),': [974, 1310], '1–34.': [976], 'Scholar[38]': [984], 'G.': [985, 1020, 1121, 1235, 1404], 'I.': [986, 1021], 'Taylor,': [987, 1022], 'The': [988, 1023, 1178, 2010, 3039], 'containing': [993], 'small': [994, 1181], 'drops': [995, 1183, 1370, 3105, 3159], 'another': [997], 'fluid,': [998], 'Proc.': [999, 1012, 1032, 1045], 'Roy.': [1000, 1033], 'Soc.': [1001, 1014, 1034, 1047], 'London': [1002, 1035], 'Ser.': [1003, 1016, 1036, 1049], '138': [1005], '(1932),': [1006], '41–48.': [1008], 'b6h': [1009, 1042], 'PRLAAZ': [1010, 1043], '0950-1207': [1011, 1044], 'London,': [1015, 1048], 'Scholar[39]': [1019], 'emulsions': [1026, 1376, 1833], 'definable': [1028], 'fields': [1029], '146': [1038], '(1934),': [1039], '501–523.': [1041], 'Scholar[40]': [1052], 'Hinch': [1055], 'Acrivos,': [1059], 'Steady': [1060, 2618, 3078], 'long': [1061, 2365], 'slender': [1062], 'droplets': [1063, 1130, 2718], 'two‐dimensional': [1065, 1247, 1276], 'streaming': [1066], 'motion,': [1067], '91': [1071], '(1979),': [1072], '401–414.': [1074], 'Scholar[41]': [1082], 'P.': [1084], 'Grace,': [1085], 'Dispersion': [1086], 'phenomena': [1087], 'immiscible': [1091, 1557, 1740, 1807, 1886, 2034, 2163, 2226, 3158], 'systems': [1093], 'application': [1095], 'static': [1097], 'mixers': [1098], 'as': [1099], 'dispersion': [1100], 'devices': [1101], 'such': [1103], 'systems,': [1104], 'Chem.': [1105, 1115], 'Engrg.': [1106], 'Commun.,': [1107], '14': [1108, 2639, 2739], '(1982),': [1109], '225–277.': [1111], 'cec': [1112], 'CEGCAK': [1113], '0098-6445': [1114], 'Eng.': [1116], 'Commun.': [1117], 'Scholar[42]': [1119], 'T.': [1120], 'Mason': [1122], 'Bibette,': [1126], 'Shear': [1127, 2984], 'rupturing': [1128], 'complex': [1132], 'Langmuir,': [1134], '13': [1135, 2381], '4600–4613.': [1138], 'lan': [1139], 'LANGD5': [1140], '0743-7463': [1141], 'Langmuir': [1142], 'Scholar[43]': [1144], 'Scholar[44]': [1146], 'Kwak': [1148], 'Adaptive': [1153], 'triangulation': [1154], 'evolving,': [1156], 'closed,': [1157], 'or': [1158], 'open': [1159], 'surfaces': [1160], 'advancing‐front': [1163], '145': [1168], '61–88': [1170], '10.1006/jcph.1998.6030': [1171], '1640150': [1172], 'Scholar[45]': [1174], 'Rallison,': [1177, 1323], 'deformation': [1179, 1212, 1242, 1329, 1367, 1940, 2570, 3154], 'bubbles': [1185, 1274], 'Ann.': [1190], '16': [1194, 1997, 2709, 2888, 3005], '(1984),': [1195], '45–66.': [1197], 'arf': [1198], 'ARVFA3': [1199], '0066-4189': [1200], 'Scholar[46]': [1206], 'Howard': [1207], 'Stone,': [1208, 1395], 'Dynamics': [1209, 2081, 2356, 2500, 3230], '1994,': [1223], '65–102': [1224], '10.1146/annurev.fluid.26.1.65': [1225], '1262134': [1226], 'Scholar[47]': [1228], 'Bentley': [1231, 1399], 'Leal,': [1236, 1405], 'investigation': [1239], 'steady,': [1246], 'linear': [1248], '167': [1253], '(1986),': [1254, 1422], '241–283.': [1256], 'Scholar[48]': [1264], 'Siegel,': [1266], 'Influence': [1267, 2417], 'surfactant': [1269, 2182, 3043], 'rounded': [1271], 'pointed': [1273], 'Stokes': [1277, 1457, 1860, 3264], 'SIAM': [1279], 'Appl.': [1281], 'Math.,': [1282], '59': [1283], '1998–2027': [1285], '10.1137/S0036139997327435': [1286], '2000f:76130': [1287], 'LinkISIGoogle': [1288], 'Scholar[49]': [1289], 'Loewenberg': [1291], 'Hinch,': [1296], 'concentrated': [1301], 'emulsion': [1302], '321': [1309], '395–419.': [1312], 'Scholar[50]': [1320], 'burst': [1331], 'general': [1336], '109': [1342], '(1981),': [1343], '465–482.': [1345], 'Scholar[51]': [1353], 'Kennedy,': [1356], 'Pozrikidis': [1359], 'Skalak,': [1364], 'Motion': [1365], 'liquid': [1369, 2604, 2622, 2697, 2755, 2939], 'rheology': [1373], 'dilute': [1375, 3045], '23': [1382], '251.': [1385], 'cmf': [1386], 'CPFLBI': [1387], '0045-7930': [1388], 'Scholar[52]': [1392], 'transient': [1410], 'effects': [1411, 2156, 2630, 2692], 'drops,': [1417], '173': [1421], '131–158.': [1424], 'Scholar[53]': [1432], 'Khokhlov,': [1434], 'Fully': [1435], 'threaded': [1436], 'tree': [1437], 'algorithms': [1438], 'refinement': [1441], 'dynamics': [1443, 1880], 'simulations,': [1444], '143': [1448], '519–543': [1450], '10.1006/jcph.1998.9998': [1451], '1631200': [1452], 'ScholarKeywordsvolume-of-fluid': [1454], 'schemeinterface': [1455, 3262], 'trackingsemi-implicit': [1456, 3263], 'solvertwo-layer': [1458, 3265], 'flowslow': [1459, 3266], 'FiguresRelatedReferencesCited': [1467], 'ByDetails': [1468], 'Application': [1469], 'Wireless': [1471], 'Mesh': [1472], 'Network': [1473], 'Tracking': [1476, 1576], 'Between': [1477], 'FluidsJournal': [1480, 1918], 'Nanofluids,': [1482, 1597], '11,': [1484], 'No.': [1485, 1512, 1600, 1634, 1665, 1774, 1822, 1844, 1900, 1924, 1947, 1970, 1994, 2043, 2124, 2172, 2211, 2274, 2293, 2320, 2346, 2380, 2434, 2457, 2481, 2509, 2533, 2556, 2610, 2638, 2663, 2683, 2708, 2738, 2791, 2815, 2836, 2864, 2885, 2907, 2925, 2950, 2973, 3002, 3031, 3058, 3092, 3114, 3138, 3167, 3188, 3212], '3': [1486, 1823, 1925, 2275, 2294, 2482, 2865, 2886, 2926], '|': [1487, 1514, 1544, 1566, 1602, 1636, 1667, 1692, 1713, 1731, 1753, 1776, 1797, 1824, 1846, 1873, 1902, 1926, 1949, 1972, 1996, 2022, 2045, 2075, 2099, 2126, 2146, 2174, 2192, 2213, 2240, 2254, 2276, 2295, 2322, 2348, 2357, 2382, 2411, 2436, 2459, 2483, 2511, 2535, 2558, 2590, 2612, 2640, 2665, 2685, 2710, 2740, 2768, 2793, 2817, 2838, 2866, 2887, 2909, 2927, 2952, 2975, 3004, 3033, 3060, 3094, 3116, 3140, 3169, 3190, 3214], 'Jun': [1489, 2911], '2022': [1490, 1547, 1569], 'Cross': [1491, 1518, 1548, 1570, 1606, 1640, 1671, 1696, 1717, 1735, 1757, 1780, 1801, 1828, 1850, 1877, 1906, 1930, 1953, 1976, 2000, 2026, 2049, 2079, 2103, 2130, 2150, 2178, 2196, 2217, 2244, 2258, 2280, 2299, 2326, 2352, 2361, 2386, 2415, 2440, 2463, 2487, 2515, 2539, 2562, 2594, 2616, 2644, 2689, 2714, 2744, 2772, 2797, 2821, 2842, 2870, 2891, 2913, 2931, 2956, 2979, 3008, 3037, 3064, 3098, 3120, 3144, 3173, 3194, 3218, 3240], 'Ref': [1492, 1519, 1549, 1571, 1607, 1641, 1672, 1697, 1718, 1736, 1758, 1781, 1802, 1829, 1851, 1878, 1907, 1931, 1954, 1977, 2001, 2027, 2050, 2080, 2104, 2131, 2151, 2179, 2197, 2218, 2245, 2259, 2281, 2300, 2327, 2353, 2362, 2387, 2416, 2441, 2464, 2488, 2516, 2540, 2563, 2595, 2617, 2645, 2690, 2715, 2745, 2773, 2798, 2822, 2843, 2871, 2892, 2914, 2932, 2957, 2980, 3009, 3038, 3065, 3099, 3121, 3145, 3174, 3195, 3219, 3241], 'Investigation': [1493], 'local': [1495], 'temporal': [1497], 'distribution': [1501], 'during': [1502, 1938, 1985, 2780], 'membrane': [1503, 2139], 'emulsificationThe': [1504], 'Canadian': [1505, 1837], 'Journal': [1506, 1627, 1654, 1748, 1791, 1838, 1962, 2016, 2166, 2232, 2372, 2502, 2582, 2657, 3182], 'Chemical': [1508, 1840, 2270], 'Engineering,': [1509, 1541, 1631, 1728, 1841, 1921, 2072, 2271, 2377, 2788, 2904], '100,': [1511], '5': [1513, 2173, 2458, 2664, 3003, 3115, 3168], '4': [1515, 1601, 1637, 1825], 'June': [1516], '2021': [1517, 1605, 1639, 1695, 1716], 'C1': [1521], 'finite': [1522, 1855, 2846], 'element': [1523, 1856, 2847], 'lipid': [1527], 'membranes': [1528], 'presence': [1531], 'Gaussian': [1534], 'energyComputer': [1535], 'Applied': [1538, 1818, 1869, 1966, 2168, 2785, 3088, 3260, 3285], 'Mechanics': [1539, 1964, 2786], 'Mar': [1546, 2077, 2485, 2954], 'micropolar': [1558, 2227], 'dusty': [1560], 'fluidsMaterials': [1561], 'Today:': [1562], 'Proceedings,': [1563], '50': [1565], 'Jan': [1568, 1715, 1951, 2101, 2128, 2278, 2413, 2592, 2687, 2770, 3062], 'Unsteady': [1579], 'Flow': [1580, 1910], 'Micropolar': [1584], 'Newtonian': [1586], 'Through': [1588], 'Horizontal': [1590], 'Channel': [1591], 'an': [1593], 'Unstable': [1594], 'InterfaceJournal': [1595], '10,': [1599], 'Dec': [1604, 1875, 2148, 2614, 2795, 2819, 2977, 3142], 'Characterization': [1608], 'dissimilar': [1610], 'mixing': [1612, 2153, 2451], 'T-junction': [1614, 1617], 'offset': [1616], 'microchannelsProceedings': [1618], 'Institution': [1621], 'Mechanical': [1623, 1630, 2422], 'Engineers,': [1624], 'E:': [1626], 'Process': [1629, 2766], '235,': [1633], '6': [1635, 2557], 'May': [1638, 2176, 2461, 3118], 'Phase-field': [1642, 2517], 'multicomponent': [1645], 'microfluidic': [1650, 2626, 2702], 'systems:': [1651], 'reviewInternational': [1653], 'Heat': [1659, 2234, 2998], '&': [1660, 2205, 3273], 'Flow,': [1662, 1794, 2019, 3185], 'August': [1669, 1848, 1928, 2297, 3251], '2020': [1670, 1734, 1756, 1779, 1800], 'coupled': [1674], 'SPH–FVM': [1675], 'simulating': [1678], 'large': [1683, 2878], 'differenceEngineering': [1685], 'Analysis': [1686, 2647], 'Boundary': [1688], 'Elements,': [1689], '128': [1691], 'Jul': [1694, 2642, 3192], 'CFD': [1699, 2051, 2465], 'horizontal': [1702, 2008, 2054], 'oil-water': [1703, 2055], 'ratioChemical': [1708], 'Engineering': [1709, 2098, 2316, 2475, 2634, 2704, 2767], 'Science,': [1710, 2635, 2705], '229': [1712], 'Multi-phase': [1719], 'using': [1724, 2757], 'peridynamic': [1725], 'differential': [1726], 'operatorOcean': [1727], '216': [1730], 'Nov': [1733, 2024, 2215, 2840], 'Multi-layer': [1737], 'Maxwell': [1742], 'cylindrical': [1746, 2625], 'domainChinese': [1747], 'Physics,': [1750, 2143, 2290, 2680, 2735, 2947, 2970, 3028, 3135], '67': [1752], 'Oct': [1755, 1778, 2047, 2242], 'alternative': [1760], 'phase-field': [1761, 2106, 2137, 2674], 'tension': [1763, 2578], 'force': [1764], 'binary': [1767], 'systemsPhysics': [1769], '32,': [1773], 'Finite': [1782], 'amplitude': [1783, 2879], 'two-fluid': [1787, 1958, 2855], 'Poiseuille': [1789, 1909, 2223], 'flowInternational': [1790], 'Multiphase': [1793, 2018, 2505, 3184], '123': [1796], 'Feb': [1799, 2560], 'Two‐layer': [1803], 'generalized': [1806, 2547], 'second': [1808], 'grade': [1809], 'rectangular': [1813], 'channelMathematical': [1814], 'Sciences,': [1819], '43,': [1821], 'December': [1826], '2019': [1827, 1849, 1876, 1905, 1952], 'multiple': [1832], 'stressThe': [1836], '98,': [1843], '27': [1847, 2536], 'immersed': [1853], 'discontinuous': [1854], 'problem': [1861], 'moving': [1864, 2754], 'interfaceJournal': [1865], 'Computational': [1867, 2142, 2289, 2406, 2498, 2504, 2901, 2946, 2969, 2995, 3027, 3067, 3134], 'Mathematics,': [1870, 1967, 2169, 2317], '362': [1872], 'Front': [1879], 'exchange': [1882], 'iso-viscous': [1887], 'two-dimensional': [1890], 'straight': [1891], 'curved': [1893], 'channelsPhysics': [1895], '9': [1901, 2175, 2666], 'Sep': [1904, 3171], 'Starting': [1908], 'Circular': [1913], 'Tube': [1914], 'With': [1915, 2088], '141,': [1923], '20': [1927, 2296], '2018': [1929], 'Evaluating': [1932], 'strain': [1936], 'droplet': [1939, 2569], 'micro-poresPhysics': [1942], 'Interfacial': [1955, 2419, 3229], 'behaviour': [1956], 'Taylor–Couette': [1959], 'flowThe': [1960], 'Quarterly': [1961], '71,': [1969, 3091], '17': [1973, 3095], 'October': [1974, 2194, 2324, 2350, 2537], '2017': [1975, 1999, 2025, 2048, 2078], 'Effect': [1978, 2180], 'pulse': [1980], 'pressure': [1981, 2014, 2632], 'borehole': [1983], 'stability': [1984, 2330], 'swirling': [1987], 'vibration': [1989], 'cementingPLOS': [1990], 'ONE,': [1991], '12,': [1993, 2292, 2906], 'November': [1998, 3006], 'Water-lubricated': [2002], 'transport': [2003], 'high-viscosity': [2005], 'oil': [2006], 'pipes:': [2009], 'water': [2011], 'holdup': [2012], 'gradientInternational': [2015], '96': [2021], 'Simulation': [2028, 2395], 'dispersed': [2030], 'phase': [2031, 2778, 2916, 3011], 'polymer': [2035], 'blends': [2036], 'injection': [2038], 'moldingEngineering': [2039], 'Computations,': [2040], '34,': [2042], '7': [2044, 2323, 2349, 3189], 'matched': [2058], 'medium': [2061], 'ratio': [2063], 'different': [2065], 'regimesJournal': [2067], 'Petroleum': [2069], 'Science': [2070, 2095, 2118, 2407, 2429, 2731], '151': [2074], 'Multi-Component': [2083, 2285], 'Flows:': [2084, 2991], 'Diffusive': [2085], 'Energetic': [2089, 3221], 'Variational': [2090, 3222], 'ApproachesReference': [2091], 'Module': [2092], 'Materials': [2094, 2097], '2016': [2102, 2129], 'computation': [2110, 2758], 'profile': [2113], 'correction': [2114], 'termCommunications': [2115], 'Nonlinear': [2117], 'Simulation,': [2121, 2553], '30,': [2123, 2835], '1-3': [2125, 2792, 2816], 'Decoupled': [2132], 'energy': [2133, 3022], 'stable': [2134], 'schemes': [2135], 'vesicle': [2138, 3024], 'modelJournal': [2140], '302': [2145], '2015': [2149, 2177, 2298], 'Incipient': [2152], 'Marangoni': [2155], 'slow': [2158], 'layersIMA': [2165], '80,': [2171], 'two-layer': [2184, 2337], 'flowJournal': [2186, 2728], 'Mechanics,': [2189, 2812, 3089], '735': [2191], '25': [2193], '2013': [2195, 2216, 2243, 2257, 2279], 'three-dimensional': [2202], 'Rayleigh–Taylor': [2203], 'instabilityComputers': [2204], 'Mathematics': [2206, 3286], 'Applications,': [2208], '66,': [2210], 'Second': [2219], 'law': [2220], 'analysis': [2221], 'channelInternational': [2231], 'Mass': [2236], 'Transfer,': [2237, 2999], '65': [2239], 'Microstructure': [2246], 'Morphology': [2248], 'SimulationComputer': [2249], 'Modeling': [2250], 'Injection': [2252], 'Molding': [2253], 'March': [2256, 2513, 3096], 'Review': [2260], 'Applicable': [2262], 'breakup/coalescence': [2263], 'models': [2264, 2311], 'turbulent': [2266], 'liquid-liquid': [2267], 'flowsReviews': [2268], 'Phase-Field': [2282], 'Models': [2283], 'FlowsCommunications': [2287], 'Boussinesq': [2306], 'buoyancy-driven': [2313], 'flowsJournal': [2314], '75,': [2319], '2011': [2325, 2351, 2360, 2414], 'Mechanism': [2328], 'system': [2338], 'liquidsDoklady': [2341], 'Physical': [2342], 'Chemistry,': [2343], '440,': [2345], 'BibliographyComputational': [2354], 'July': [2359], 'On': [2363], 'time': [2366], 'Rayleigh-Taylor': [2370], 'instabilityInternational': [2371], '85,': [2379], 'September': [2384, 2889], '2010': [2385, 2410, 2462, 2486, 2514], 'Parallel': [2389], 'Strategy': [2390], 'Level': [2393], 'Set': [2394], 'Droplets': [2397], 'Moving': [2398], 'Liquid': [2401], 'MediumHigh': [2402], 'Performance': [2403], 'Computing': [2404], '–': [2408], 'VECPAR': [2409], 'Slip': [2420], 'Adhesion': [2423, 2428], 'PolymersJournal': [2426], 'Technology,': [2431], '25,': [2433], 'April': [2438], '2012': [2439], 'spatially': [2448], 'developing': [2449], 'two-phase': [2450, 2896], 'layersPhysics': [2452], '22,': [2456, 2863], '21': [2460], 'modelling': [2466, 2518, 2675], 'liquid–liquid': [2468, 2807], 'microstructured': [2470], 'reactor:': [2471], 'Slug': [2472], 'generationChemical': [2474], 'Research': [2476], 'Design,': [2478], '88,': [2480], 'Kelvin-Helmholtz': [2493], 'Using': [2495], 'Different': [2497], 'MethodsThe': [2501], 'Flows,': [2506], '2,': [2508], 'metals': [2520], 'colloids': [2522], 'nucleation': [2524], 'therein—an': [2525], 'overviewJournal': [2526], 'Physics:': [2528], 'Condensed': [2529], 'Matter,': [2530], '21,': [2532], '46': [2534], '2009': [2538, 2561, 2593], 'FGMRES': [2541], 'preconditioning': [2542], 'symmetric/skew-symmetric': [2544], 'decomposition': [2545], 'stokes': [2548], 'problemsMathematics': [2549], 'Computers': [2551], '79,': [2555], 'bubble': [2567], 'level': [2573], 'set': [2574], 'approach': [2575, 3013], 'three': [2580], 'dimensionsInternational': [2581], 'gas': [2599], 'driven': [2600], 'filmPhysics': [2605], '20,': [2609], '2008': [2615, 2643, 2688], 'ionic': [2621], 'through': [2623, 2699], 'contraction–expansion': [2627], 'pipe:': [2628], 'Electroviscous': [2629, 2691], 'dropChemical': [2633], '63,': [2637], 'Asymptotic': [2646], 'Phase': [2649, 3225], 'Field': [2650, 3226], 'Formulations': [2651], 'Bending': [2653], 'Elasticity': [2654], 'ModelsXiaoqiang': [2655], 'WangSIAM': [2656], 'Mathematical': [2659, 2832], 'Analysis,': [2660], '39,': [2662], 'January': [2667, 2742, 2868], '2008AbstractPDF': [2668], '(423': [2669], 'KB)Advances': [2670], 'condensed-matter': [2677], 'physicsAdvances': [2678], '57,': [2682], 'slit-like': [2701], 'contractionChemical': [2703], '62,': [2707], 'Aug': [2712, 3035, 3216], '2007': [2713, 2743, 2771], 'Coalescence': [2716], 'viscoelastic': [2720, 2806], 'matrix': [2721], 'diffuse': [2723], 'Polymer': [2730, 2734], 'B:': [2733], '45,': [2737, 2884], 'hydrodynamics': [2749], 'mass': [2751], 'transfer': [2752], 'layers': [2756], 'dynamics17th': [2760], 'European': [2761], 'Symposium': [2762], 'Computer': [2764], 'Aided': [2765], 'liquid/gas': [2777], 'mold': [2781], 'fillingComputer': [2782], '196,': [2790], '2006': [2796, 2820, 2841, 2869, 3252], 'Development': [2799], 'implementation': [2801], 'VOF-PROST': [2803], '3D': [2805], 'simulationsJournal': [2808], 'Non-Newtonian': [2810], '140,': [2814], 'Pendant': [2823], 'shear-thinning': [2827], 'yield': [2829], 'fluidsApplied': [2831], 'Modelling,': [2833], 'One': [2844], 'time-step': [2845], 'discretization': [2848], 'equation': [2851], 'motion': [2853], 'flowsNumerical': [2856], 'Partial': [2859], 'Differential': [2860], 'Equations,': [2861], 'undergoing': [2877], 'oscillatory': [2880, 3161], 'shearRheologica': [2881], 'Acta,': [2882], '2005': [2890, 2912, 2930, 2955], 'flowsArchives': [2899], 'field': [2917, 3012], 'formulation': [2918], 'Willmore': [2921], 'problemNonlinearity,': [2922], '18,': [2924], '24': [2928], 'February': [2929], 'surrounded': [2941], 'compressible': [2943], 'gasJournal': [2944], '203,': [2949], 'surfactant-conserving': [2959], 'volume-of-fluid': [2960], 'insoluble': [2966, 3042], 'surfactantJournal': [2967], '201,': [2972], '2004': [2978, 3007, 3036, 3063, 3097], 'Effects': [2981], 'Gravity,': [2983], 'Surface': [2986, 3127], 'Tension': [2987, 3128], 'Internal': [2989, 3070], 'Condensing': [2990, 3071], 'Results': [2992, 3074], 'From': [2993], 'SimulationsJournal': [2996], '126,': [3001], 'elastic': [3020], 'bending': [3021], 'membranesJournal': [3025], '198,': [3030], 'effect': [3040], 'concentration': [3046], 'inertiaPhysics': [3053, 3207], '16,': [3057], 'Simulations': [3068], 'Attainability/Stability': [3076], 'Solutions,': [3079], 'Their': [3080, 3084], 'Intrinsic': [3081], 'Waviness,': [3082], 'Noise': [3085], 'SensitivityJournal': [3086], 'Inertia-induced': [3100], 'highly': [3103], 'subjected': [3106], 'shearPhysics': [3109], '15,': [3113], '2003': [3119], 'PROST:': [3122], 'Parabolic': [3124], 'Reconstruction': [3125], 'Volume-of-Fluid': [3131], 'MethodJournal': [3132], '183,': [3137], '2002': [3143, 3172, 3193], 'Experimental': [3146], 'observation': [3147], 'matching': [3149], 'shearJournal': [3162], 'Rheology,': [3164], '46,': [3166], 'fragment': [3176], 'distributions': [3177], 'inertiaInternational': [3181], '28,': [3187], 'Scalings': [3196], 'fragments': [3198], 'produced': [3199], '13,': [3211], '2001': [3217], 'Formulation': [3223], 'Complex': [3232], 'Fluids:': [3233], 'Advantages': [3234], 'ChallengesModeling': [3236], 'Soft': [3238], 'Matter': [3239], '42,': [3243], 'Issue': [3244], '3|': [3245], '2000SIAM': [3246], 'Review367-552': [3247], 'History': [3248], 'Published': [3249], 'online:04': [3250], 'InformationCopyright': [3253], '©': [3254], '2000': [3255], 'Society': [3256], 'Industrial': [3258, 3283], 'MathematicsKeywordsvolume-of-fluid': [3261], 'flowsMSC': [3269], 'codes76D0565-0276E05PDF': [3270], 'Download': [3271], 'Article': [3272], 'Publication': [3274], 'DataArticle': [3275], 'DOI:10.1137/S0036144599354604Article': [3276], 'page': [3277], 'range:pp.': [3278], '417-439ISSN': [3279], '(print):0036-1445ISSN': [3280], '(online):1095-7200Publisher:Society': [3281]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2041565661', 'counts_by_year': [{'year': 2024, 'cited_by_count': 3}, {'year': 2023, 'cited_by_count': 4}, {'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 6}, {'year': 2020, 'cited_by_count': 4}, {'year': 2019, 'cited_by_count': 6}, {'year': 2018, 'cited_by_count': 2}, {'year': 2017, 'cited_by_count': 6}, {'year': 2016, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 4}, {'year': 2014, 'cited_by_count': 1}, {'year': 2013, 'cited_by_count': 5}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2025-01-11T18:59:30.271001', 'created_date': '2016-06-24'}