Unconditionally Stable Algorithm for Solving the Three-Dimensional Nonstationary Navier-Stokes Equations

被引：0

作者：

Shatrov, O. A. ^{[1
]}

Shcheritsa, O. V. ^{[2
]}

Mazhorova, O. S. ^{[2
]}

机构：

[1] Bauman Moscow State Tech Univ, Moscow 105005, Russia

[2] Russian Acad Sci, Keldysh Inst Appl Math, Moscow 125047, Russia

来源：

DIFFERENTIAL EQUATIONS | 2018年 / 54卷 / 07期

基金：

俄罗斯基础研究基金会;

关键词：

FINITE-AMPLITUDE CONVECTION; CHANGING MEAN TEMPERATURE; NATURAL VARIABLES; STABILITY;

D O I：

10.1134/S0012266118070157

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：979 / 992

页数：14

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