A numerical method for solution of incompressible Navier-Stokes equations in streamfunction-vorticity formulation

被引：3

作者：

Raza, Saad ^{[1
]}

Rauf, Abdul ^{[1
]}

Sabi'u, Jamilu ^{[1
,2
]}

Shah, Abdullah ^{[1
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Islamabad 45550, Pakistan

[2] Yusuf Maitama Sule Univ Kano, Dept Math, Kano, Nigeria

来源：

COMPUTATIONAL AND MATHEMATICAL METHODS | 2021年 / 3卷 / 06期

关键词：

conforming finite element method; diagonally implicit fractional-step; theta-scheme; DUNE-PDELab; streamfunction-vorticity formulation; the incompressible Navier-Stokes equations; FINITE-ELEMENT-METHOD; STREAM-FUNCTION; SCHEME;

D O I：

10.1002/cmm4.1188

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we have proposed a numerical approach for solving the incompressible Navier-Stokes equations in the streamfunction-vorticity formulation. The numerical scheme is based on the diagonally implicit fractional-step theta-(DIFST) method used for the time discretization and the conforming finite element method for the spatial discretization. The accuracy and efficiency of the scheme are validated by solving some benchmark problems. The numerical simulations are carried out using the DUNE-PDELab open-source software package. The comparison of DIFST scheme with different time discretization schemes is provided in terms of CPU time. Also, different solvers with preconditioners are investigated for solving the resulting algebraic system of equations numerically.

引用

页数：14

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