Implicit-explicit higher-order time integration schemes for computations of structural dynamics with fluid-structure interaction

被引：0

作者：

Pedro, Jose C. ^{[1
]}

Banda, Mapundi K. ^{[2
]}

Sibanda, Precious ^{[3
]}

机构：

[1] Univ Agostinho Neto, Fac Ciencias, Dept Matemat, Caixa Postal 815,Ave 4 Fevereiro 71, Luanda, Angola

[2] Univ Pretoria, Dept Math & Appl Math, ZA-0028 Hatfield, South Africa

[3] Univ Kwazulu Natal, Sch Math Stat & Comp Sci, ZA-3209 Scottsville, South Africa

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2015年 / 10卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Fluid-structure interaction; ESDIRK; High order time integration; Structural predictor; Structural dynamics; staggered approach; Euler gas dynamics; piston problem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper higher order implicit Runge-Kutta schemes are applied to fluid-structure interaction (FSI) simulations. A staggered approach with a structural predictor is applied to an FSI problem. The equations governing the dynamics of the structure are integrated in time by the Explicit Single Diagonal Implicit Runge-Kutta (ESDIRK) schemes and the arbitrary high order finite volume scheme is taken as the fluid solver. The performance of the ESDIRK scheme of order of convergence three to five is tested. Comparative studies with other time integration schemes which have been successfully applied to FSI problems are undertaken. Comparisons to test the performance of the scheme are carried out. The staggered approach is applied to couple the structure and the compressible fluid, therefore the added mass effect is not considered. However the influence of the structural predictors is analyzed through energy conservation.

引用

页码：287 / 311

页数：25

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