TY - JOUR
T1 - Fluid Structure Interaction Problems: The Necessity of a Well Posed, Stable and Accurate Formulation
AU - Jan Nordström & Sofia Eriksson
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 - <p style="text-align: justify;">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.</p>