New method for the Numerical Calculation of Hydrodynamics Shocks
Abstract
The equations of hydrodynamics are rewritten in sense of functionals with values in Non-Archimedean field of Laurent series or 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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