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Semi-Lagrangian approximations of the transfer operator in divergent form.

Authors :
Shaydurov, Vladimir V.
Petrakova, Viktoriya S.
Source :
Russian Journal of Numerical Analysis & Mathematical Modelling. Jun2024, Vol. 39 Issue 3, p157-164. 8p.
Publication Year :
2024

Abstract

The paper demonstrates two approaches to constructing monotonic difference schemes for the transfer equation in divergent form from the family of semi-Lagrangian methods: Eulerian–Lagrangian and Lagrangian–Eulerian. Within each approach, a monotonic conservative difference scheme is proposed. It is shown that within the framework of the Lagrangian–Eulerian approach, based on the use of curvilinear grids formed by the characteristics of the approximated transfer operator, it is possible to construct monotonic difference schemes of second order accuracy. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09276467
Volume :
39
Issue :
3
Database :
Academic Search Index
Journal :
Russian Journal of Numerical Analysis & Mathematical Modelling
Publication Type :
Academic Journal
Accession number :
177633216
Full Text :
https://doi.org/10.1515/rnam-2024-0015