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RUSSIAN FEDERAL
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ALL-RUSSIAN RESEARCH INSTITUTE
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CONSERVATIVE AND INVARIANT DIFFERENTIAL AND DIFFERENCE REPRESENTATIONS OF GAS DYNAMICS EQUATIONS IN AN AXISYMMETRIC GASE

V. I. Delov, V. N. Isaev, I. D. Sofronov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1987. Вып.1. С. 3-10.

      We propose an approach to constructing conservative and invariant differential and difference representations of gas dynamics equations in Lagrangian variables. As shown, a numerical solution may be invariant when a special type of kinetic energy in elementary volume is chosen. Test results are given which illustrate the feasibility of the approach formulated here.



SOME ASPECTS OF 3-D NUMERICAL PROBLEM SOLUTIONS IN CONTINUUM MECHANICS

V. V. Rasskazova, I. D. Sofronov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1987. Вып.1. С. 76-87.

      We consider some issues related to the numerical solution of 3-D heat conduction and gas dynamics problems. Splitting the space with a difference mesh is examined to approximate these equations. A method for retaining convex trihedral angles is presented. We analyze whether it is possible to avoid edge intersections inside the cells.










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