Abstract: In this chapter we shall introduce the nonzero forcing versions of the advection problem. There are many different forms of advection based problems that have nonzero forcing terms, and given the dynamical situation that is being considered, the approach to deal with these situations could lead to nonphysical modes being excited in the numerical solution. A widely used approach to deal with this situation is referred to as the semi-implicit semi-Lagrangian (SISL) method, where nonlinear terms are treated explicit, while the linear terms are treated implicitly. We shall introduce this technique along with other techniques that have been developed over the years to stabilize and increase the efficiently of the semi-Lagrangian integration when a forcing is present.
Publication Year: 2019
Publication Date: 2019-11-22
Language: en
Type: book-chapter
Indexed In: ['crossref']
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