Improving the pressure accuracy in a projection scheme for incompressible fluids with variable viscosity

被引：18

作者：

Deteix, J. ^{[1
]}

Yakoubi, D. ^{[1
]}

机构：

[1] Univ Laval, Dept Math & Stat, Grp Interdisciplinaire Rech Elements Finis, Quebec City, PQ, Canada

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 79卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Navier-Stokes equations; Heterogeneous viscosity; Projection methods; Fractional step methods; Finite element;

D O I：

10.1016/j.aml.2017.12.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The incremental projection scheme and its enhanced version, the rotational projection scheme are powerful and commonly used approaches producing efficient numerical algorithms for solving the Navier-Stokes equations. However, the much improved rotational projection scheme cannot be used on models with non homogeneous viscosity, imposing the use of the less accurate incremental projection. This paper presents a projection method for the Navier-Stokes equations for fluids having variable viscosity, giving a consistent pressure and increased accuracy in pressure when compared to the incremental projection. The accuracy of the method will be illustrated using a manufactured solution. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：111 / 117

页数：7