Volume 8, Issue 5
Fluid Structure Interaction Problems: The Necessity of a Well Posed, Stable and Accurate Formulation

Jan Nordström & Sofia Eriksson

Commun. Comput. Phys., 8 (2010), pp. 1111-1138.

Published online: 2010-08

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  • Abstract

We investigate problems of fluid structure interaction type and aim for a formulation that leads to a well posed problem and a stable numerical procedure. Our first objective is to investigate if the generally accepted formulations of the fluid structure interaction problem are the only possible ones. Our second objective is to derive a stable numerical coupling. To accomplish that we will use a weak coupling procedure and employ summation-by-parts operators and penalty terms. We compare the weak coupling with other common procedures. We also study the effect of high order accurate schemes. In multiple dimensions this is a formidable task and we start by investigating the simplest possible model problem available. As a flow model we use the linearized Euler equations in one dimension and as the structure model we consider a spring.

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@Article{CiCP-8-1111, author = {}, title = {Fluid Structure Interaction Problems: The Necessity of a Well Posed, Stable and Accurate Formulation}, journal = {Communications in Computational Physics}, year = {2010}, volume = {8}, number = {5}, pages = {1111--1138}, abstract = {

We investigate problems of fluid structure interaction type and aim for a formulation that leads to a well posed problem and a stable numerical procedure. Our first objective is to investigate if the generally accepted formulations of the fluid structure interaction problem are the only possible ones. Our second objective is to derive a stable numerical coupling. To accomplish that we will use a weak coupling procedure and employ summation-by-parts operators and penalty terms. We compare the weak coupling with other common procedures. We also study the effect of high order accurate schemes. In multiple dimensions this is a formidable task and we start by investigating the simplest possible model problem available. As a flow model we use the linearized Euler equations in one dimension and as the structure model we consider a spring.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.260409.120210a}, url = {http://global-sci.org/intro/article_detail/cicp/7610.html} }
TY - JOUR T1 - Fluid Structure Interaction Problems: The Necessity of a Well Posed, Stable and Accurate Formulation JO - Communications in Computational Physics VL - 5 SP - 1111 EP - 1138 PY - 2010 DA - 2010/08 SN - 8 DO - http://doi.org/10.4208/cicp.260409.120210a UR - https://global-sci.org/intro/article_detail/cicp/7610.html KW - AB -

We investigate problems of fluid structure interaction type and aim for a formulation that leads to a well posed problem and a stable numerical procedure. Our first objective is to investigate if the generally accepted formulations of the fluid structure interaction problem are the only possible ones. Our second objective is to derive a stable numerical coupling. To accomplish that we will use a weak coupling procedure and employ summation-by-parts operators and penalty terms. We compare the weak coupling with other common procedures. We also study the effect of high order accurate schemes. In multiple dimensions this is a formidable task and we start by investigating the simplest possible model problem available. As a flow model we use the linearized Euler equations in one dimension and as the structure model we consider a spring.

Jan Nordström & Sofia Eriksson. (2020). Fluid Structure Interaction Problems: The Necessity of a Well Posed, Stable and Accurate Formulation. Communications in Computational Physics. 8 (5). 1111-1138. doi:10.4208/cicp.260409.120210a
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