Year: 2013
Communications in Computational Physics, Vol. 13 (2013), Iss. 2 : pp. 386–410
Abstract
We consider multi-physics computations where the Navier-Stokes equations
of compressible fluid flow on some parts of the computational domain are coupled to
the equations of elasticity on other parts of the computational domain. The different
subdomains are separated by well-defined interfaces. We consider time accurate computations resolving all time scales. For such computations, explicit time stepping is
very efficient. We address the issue of discrete interface conditions between the two
domains of different physics that do not lead to instability, or to a significant reduction
of the stable time step size. Finding such interface conditions is non-trivial.
We discretize the problem with high order centered difference approximations with
summation by parts boundary closure. We derive L2 stable interface conditions for the
linearized one dimensional discretized problem. Furthermore, we generalize the interface conditions to the full non-linear equations and numerically demonstrate their
stable and accurate performance on a simple model problem. The energy stable interface conditions derived here through symmetrization of the equations contain the
interface conditions derived through normal mode analysis by Banks and Sjögreen
in [8] as a special case.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.280711.070212a
Communications in Computational Physics, Vol. 13 (2013), Iss. 2 : pp. 386–410
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
-
A stable FSI algorithm for light rigid bodies in compressible flow
Banks, J.W. | Henshaw, W.D. | Sjögreen, B.Journal of Computational Physics, Vol. 245 (2013), Iss. P.399
https://doi.org/10.1016/j.jcp.2013.02.050 [Citations: 26] -
A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow
Serino, D.A. | Banks, J.W. | Henshaw, W.D. | Schwendeman, D.W.Journal of Computational Physics, Vol. 399 (2019), Iss. P.108923
https://doi.org/10.1016/j.jcp.2019.108923 [Citations: 9] -
Coupling Requirements for Multiphysics Problems Posed on Two Domains
Ghasemi, Fatemeh | Nordström, JanSIAM Journal on Numerical Analysis, Vol. 55 (2017), Iss. 6 P.2885
https://doi.org/10.1137/16M1087710 [Citations: 7]