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SIMULATION OF MULTIDIMENSIONAL NONSTATIONARY MULTIMATERIAL-CONTINUUM FLOWS USING BLOCK-STRUCTURED MESHES OF A SPECIAL KIND IN THE "LEGAK" CODE

N. A. Volodina, S. A. Krayukhin, A. O. Naumov, S. V. Starodubov, A. P. Tikhonova, T. V. Rezvova, K. V. Tsiberev, M. O. Shirshova, E. V. Shuvalova
VANT. Ser.: Mat. Mod. Fiz. Proc 2022. Вып.4. С. 3-18.

The paper describes the implementation of computational algorithms in the LEGAK code for the simulation of multidimensional nonstationary multimaterial-continuum flows using block-structured meshes of a special kind. Meshes of a special kind mean the block-structured meshes with the irregular blending elements at the interfaces of blocks, namely, the meshes with mating of quasi-spherical and cubical meshes and with a fold ratio of cells at boundaries of blocks. The main advantage of using the special-kind meshes in LEGAK is that they allow locally refining the computational mesh during the simulation of structures of different scales and also provide a higher accuracy of describing separate physical processes and the selection of the computational mesh, which is better adapted to the given flow to solve application problems.
Methods of computations on block-structured meshes, computation program modification algorithms, and algorithms of paralleling are considered. To demonstrate the code serviceability, results of computations with the use of block-structured meshes are given for several methodological problems.

Keywords: the LEGAK code, block-structured meshes, quasi-spherical meshes.








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