Anisotropic closure model in mixed cells. (Russian. English summary) Zbl 1399.76035

Yanilkin, Yu.; Toporova, O.; Kolobyanin, V.

Mat. Model. 29, No. 8, 44-58 (2017).

The well-known Euler and Lagrange-Euler grids approaches allowing an adaptively incorporated fraction, countably cells are often used for the investigation of quantum mechanics problems. A distinctive feature of Euler methods is the existence of the so-called mixed cells, i.e., those which have two or more components with their thermodynamic properties. To find a solution in the mixed cells, closure conditions are usually introduced, which are based on some suppositions about the media properties. Here, a new anisotropic model of Lagrange gas dynamics and elastoplastic equations closure in the mixed cells is proposed. The model is studied in the software EGAK and examined on some test examples.

Reviewer: Sergei Georgievich Zhuravlev (Moskva)

MSC:

76N15

Gas dynamics (general theory)

Keywords:

multigrid methods; domain decomposition; thermodynamics

Software:

EGAK