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Conservative procedure of grid functions recalculation in 2d gasdynamics
Author(s) -
Chernigovski S.,
Novac S.
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19980781512
Subject(s) - grid , interpolation (computer graphics) , minification , impulse (physics) , conservation law , mathematics , mathematical optimization , computer science , algorithm , mathematical analysis , geometry , motion (physics) , classical mechanics , physics , artificial intelligence
Known conservative remapping procedures in 2D computational fluid dynamics use the integral formulation of conservative laws and are very expensive because of volume integral calculations on overlapping grids. We suggest in the present paper a robust and efficient grid functions recalculation algorithm which guarantees both a sufficient accuracy and conservativity for smooth and non‐smooth solutions in arbitrary regions of the grid. It consists, as in 1D case [1], of two steps. The first step is a non‐conservative interpolation. The second one is the conservative modification of the obtained data by means of solution of special functional minimization problems in order to provide the fulfillment of conservation laws, namely for mass, impulse and total energy. The numerical tests have shown the applicability of the procedure in tough regimes of 2D gasdynamical problems simulation.