Transfer of conservative discrete differential operators between staggered grids: construction and duality relations.

Autor: Goudon, Thierry, Krell, Stella, Llobell, Julie, Minjeaud, Sebastian
Předmět:
Zdroj: IMA Journal of Numerical Analysis; Jul2022, Vol. 42 Issue 3, p2459-2504, 46p
Abstrakt: This paper is concerned with the construction of a discrete conservative operator on a mesh, knowing a conservative operator on a different mesh. We analyse the possibility of defining such a transfer based on the preservation of conservation properties and provide practical procedures, which can be effectively implemented for schemes that work on staggered grids. We show that such a transfer can be applied to obtain a discrete balance equation on a mesh starting from a discrete balance equation on a different mesh, and to prove local discrete duality relations for standard discrete operators defined on staggered grids. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index