Title: Hybrid Multiscale Methods II. Kinetic Equations
Abstract: In this work we consider the development of a new family of hybrid numerical methods for the solution of kinetic equations which involves different scales. The basic idea is to couple macroscopic and microscopic models in all cases in which the macroscopic model does not provide correct results. The key aspect in the development of the algorithms is the choice of a suitable hybrid representation of the solution and a merging of Monte Carlo methods in nonequilibrium regimes with deterministic methods in equilibrium ones. This approach permits us to treat efficiently both the microscopic and the macroscopic scales. Applications to the Boltzmann–BGK equation are presented to show the performance of the new methods.
Publication Year: 2008
Publication Date: 2008-01-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 66
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot