Email this article Unconditionally Stable Algorithm for Solving the Three-Dimensional Nonstationary Navier–Stokes Equations
- Authors: Shatrov O.A.1, Shcheritsa O.V.2, Mazhorova O.S.2
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Affiliations:
- Bauman Moscow State Technical University
- Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences
- Issue: Vol 54, No 7 (2018)
- Pages: 979-992
- Section: Numerical Methods
- URL: https://journals.rcsi.science/0012-2661/article/view/154783
- DOI: https://doi.org/10.1134/S0012266118070157
- ID: 154783
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Abstract
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.
About the authors
O. A. Shatrov
Bauman Moscow State Technical University
Author for correspondence.
Email: shatrov.oleg.a@gmail.com
Russian Federation, Moscow, 105005
O. V. Shcheritsa
Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences
Email: shatrov.oleg.a@gmail.com
Russian Federation, Moscow, 125047
O. S. Mazhorova
Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences
Email: shatrov.oleg.a@gmail.com
Russian Federation, Moscow, 125047
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