Unconditionally Stable Algorithm for Solving the Three-Dimensional Nonstationary Navier–Stokes Equations
| Autor: | Oleg Alexandrovich Shatrov, Olga Semenovna Mazhorova, O. V. Shcheritsa |
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| Rok vydání: | 2018 |
| Předmět: |
Partial differential equation
General Mathematics 010102 general mathematics Parallel algorithm 02 engineering and technology System of linear equations 01 natural sciences Momentum 020303 mechanical engineering & transports 0203 mechanical engineering Scheme (mathematics) Ordinary differential equation Applied mathematics Gauss–Seidel method 0101 mathematics Navier–Stokes equations Analysis Mathematics |
| Zdroj: | Differential Equations. 54:979-992 |
| ISSN: | 1608-3083 0012-2661 |
| DOI: | 10.1134/s0012266118070157 |
| Popis: | We propose an unconditionally stable method for solving the three-dimensional nonstationary Navier–Stokes equations in the velocity–pressure variables. The method is based on a conservative finite-difference scheme and the simultaneous solution of the momentum and continuity equations at each time layer. The velocity and pressure fields are calculated by using a parallel algorithm for solving systems of linear equations by the Gauss method. |
| Databáze: | OpenAIRE |
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