dorsal/arxiv
View SchemaNew method for the Numerical Calculation of Hydrodynamics Shocks
| Authors | Mikalai Radyna |
|---|---|
| Categories | |
| ArXiv ID | physics/0204046 |
| URL | https://arxiv.org/abs/physics/0204046 |
Abstract
The equations of hydrodynamics are rewritten in sense of functionals with values in Non-Archimedean field of Laurent series or $\mathbf{R}<\epsilon>$-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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"date_created": "2026-03-02T18:00:39.432000Z",
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"abstract": "The equations of hydrodynamics are rewritten in sense of functionals with\nvalues in Non-Archimedean field of Laurent series or\n$\\mathbf{R}\u003c\\epsilon\u003e$-distributions. A new ideology for understanding of\nconservation laws is proposed. A set of nonlinear algebraic equations suitable\nfor the numerical work is given. The Newton iteration method are used for\ncalculation of microscopic shock profiles for the equations of compressible\nflow.",
"arxiv_id": "physics/0204046",
"authors": [
"Mikalai Radyna"
],
"categories": [
"physics.flu-dyn",
"physics.comp-ph"
],
"title": "New method for the Numerical Calculation of Hydrodynamics Shocks",
"url": "https://arxiv.org/abs/physics/0204046"
},
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