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CONSERVATIVE REMAPPING IN GAS-DYNAMIC DIFFERENCE SCHEMES ON LAGRANGIAN-EULERIAN MESHES

A. M. Stenin
VANT. Ser.: Mat. Mod. Fiz. Proc 2019. Вып.2. С. 3-16.

The paper describes a conservative-in-total-energy global remapping algorithm for the Eulerian stage of the time step in gas-dynamic difference schemes on regular tetragonal Lagrangian-Eulerian spatial meshes. The values of the gas-dynamic quantities are remapped with conservation of the respective integral values. The values of specific internal energy are remapped subject to the conservation of the integral internal energy with corrections that provide total energy conservation. If a fully conservative difference scheme is used at the Lagrangian time-step stage, then the conservative remapping renders the whole scheme fully conservative at both Lagrangian and Eulerian stages. The results of benchmark computations of a strong point explosion are presented.

Keywords: gas dynamics, Lagrangian-Eulerian meshes, remapping, a fully conservative scheme, the Sedov blast.








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