A Numerical Third-Order Method for Solving the Navier-Stokes Equations with Respect to Time

被引：0

作者：

Krupa, V. G. ^{[1
]}

机构：

[1] Baranov Cent Inst Aviat Motor Dev, Moscow 111116, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2019年 / 59卷 / 11期

关键词：

linearly implicit Runge-Kutta method; Rosenbrock method; W-method; Navier-Stokes equations; ABC flow; ROSENBROCK-TYPE; IMPLICIT;

D O I：

10.1134/S0965542519110083

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A linearly implicit (Rosenbrock-type) numerical method for the integration of three-dimensional Navier-Stokes equations for compressible fluid with respect to time is proposed. The method has four stages and third order of accuracy with respect to time. As the benchmark, the Cauchy problem on a 3D torus is solved. The computed distributions are compared with the solution specified by the ABC flow.

引用

页码：1881 / 1892

页数：12

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