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New method for the Numerical Calculation of Hydrodynamics Shocks

Mikalai Radyna
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Abstract

The equations of hydrodynamics are rewritten in sense of functionals with values in Non-Archimedean field of Laurent series or $\mathbf{R}<ε>$-distributions. A new ideology for understanding of conservation laws is proposed. A set of nonlinear algebraic equations suitable for the numerical work is given. The Newton iteration method are used for calculation of microscopic shock profiles for the equations of compressible flow.

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Mikalai Radyna. 2002-04-17. New method for the Numerical Calculation of Hydrodynamics Shocks. https://arxiv.org/abs/physics/0204046

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