A Petrov-Galerkin immersed finite element method for steady Navier-Stokes interface problem with non-homogeneous jump conditions

被引：0

作者：

Zhu, Na ^{[1
]}

Rui, Hongxing ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2024年 / 445卷

基金：

中国国家自然科学基金;

关键词：

Immersed finite element; Petrov-Galerkin; Multi-phase flow; EQUATIONS;

D O I：

10.1016/j.cam.2024.115815

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper develops a lowest -order Petrov-Galerkin immersed Q1 - Q0 method for solving Stokes interface problem. We make use of a uniform, interface -unfitted Cartesian mesh. An immersed Petrov-Galerkin formulation is presented, where the test spaces are conventional finite element spaces and the solution spaces satisfying the jump conditions. For the Stokes and Navier-Stokes interface problem, simple stabilized items are introduced. The nonlinear convective term is treated using Picard's iteration. Extensive numerical experiments validate the feasibility and optimal convergence order for the Petrov-Galerkin immersed Q1 - Q0 scheme both with homogeneous and non -homogeneous jumps.

引用

页数：13