On numerical approximations to fluid-structure interactions involving compressible fluids

被引：3
|
作者：
Schwarzacher, Sebastian [1 ]
She, Bangwei [1 ,2 ,3 ]
机构：
[1] Charles Univ Prague, Fac Math & Phys, Dept Anal, Prague, Czech Republic
[2] Czech Acad Sci, Inst Math, Prague, Czech Republic
[3] Capital Normal Univ, Acad Multidisciplinary Studies, Beijing, Peoples R China
来源：
NUMERISCHE MATHEMATIK | 2022年 / 151卷 / 01期
关键词：
WEAK SOLUTIONS; EXISTENCE; SCHEME; STABILITY; FLOW; ALE; INEQUALITIES; CONVERGENCE;
D O I：
10.1007/s00211-022-01275-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce a numerical scheme for fluid-structure interaction problems in two or three space dimensions. A flexible elastic plate is interacting with a viscous, compressible barotropic fluid. Hence the physical domain of definition (the domain of Eulerian coordinates) is changing in time. We introduce a fully discrete scheme that is stable, satisfies geometric conservation, mass conservation and the positivity of the density. We also prove that the scheme is consistent with the definition of continuous weak solutions.
引用
收藏
页码：219 / 278
页数：60
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