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REGRIDDING IN DIFFERENCE GAS DYNAMIC SCHEMES REPRESENTED AS INTER-COMPONENT EXCHANGES IN A MULTIPHASE MEDIUM

A. M. Stenin
VANT. Ser.: Mat. Mod. Fiz. Proc 2021. Вып.3. С. 3-20.

A global algorithm of recalculating gas dynamic quantities to a new grid (regridding algorithm) provides the calculation of contributions of the corresponding integral quantities from the old grid. To calculate the integral contributions, searching for the old/new grid overlap polygons is performed. The paper shows that such regridding algorithm can be represented as exchanges between components in some artificial multiphase medium. In this case, successive consideration of all the medium processes associated with mass, momentum, and energy exchanges and performed in a similar way, as for the continual multiphase multi-velocity medium, inevitably leads to the specific internal energy calculation with amendments because of the kinetic energy deficiency in the new space grid.

Keywords: gas dynamics, Lagrangian-Eulerian coordinates, global regridding algorithm, a multiphase medium, inter-component exchanges, Sedov explosion.








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