New method for the Numerical Calculation of Hydrodynamics Shocks

2002/04/17 by Mikalai Radyna, Radyna, Mikalai
Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #physics.comp-ph #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.physics/0204046

LaTeX2e, 22 pages, 25 figures

arxiv created 2002/04/17 · arxiv updated 2009/12/01

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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