Algorithm of different time step usage in different parts of computational domain based on semi-Lagrangian method for continuity equation
Algorithm of different time step usage in different parts of computational domain based on semi-Lagrangian method for continuity equation
(Russian, English abstract)
Siberian Electronic Mathematical Reports, 22, 2, pp. 1224-1254 (2025)
Abstract:
In the paper semi-Lagrangian algorithm for two-dimensional continuity equation is considered. Computational domain is decomposed into two parts. Various time steps in different parts of computational domain are used. Theoretical investigation and numerical experiments confirm first order of convergence and conservation low validity.
Keywords: continuity equation, semi-Lagrangian method, conservation law, irregular grid, Eulerian-Lagrangian method.