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INVARIANT DIFFERENCE SCHEMES FOR SOLVING EQUATIONS IN GAS DYNAMICS

A. S. Shvedov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1986. Вып.2. С. 37-44.

      The paper cousiders an invariant difference scheme development for solving 3-D time-dependent equations in gas dynamics by decomposing the velocity vector into bases which include normal vectors and those along the main directions of coordinate surfaces. Equations for a compressible inviscid nonconductive gas behavior are presented in this way when only curvilinear velocity vector components are included and the differentiation over spatial variables is incorporated as some vector field divergences in these equations. After the transition to integral conservation laws and discretization have been accomplished we obtain an invarirnt difference scheme implemented as a computer program. The results of computations are given.










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