Summary
Finite-element discretizations of fluid-solid-interaction problems only trivially preserve the conservation properties of the underlying problem under restrictive compatibility conditions on the approximation spaces for the fluid and the solid. The present work introduces a new general method for enforcing interface conditions that maintains the conservation properties under incompatibility. The method is based on a nonlinear variational projection of the velocity field to impose the kinematic condition, and a consistent evaluation of the load functional that accounts for the dynamic condition. Numerical results for a projection problem are presented to illustrate the properties of the method.
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van Brummelen, E.H., de Borst, R. (2007). Conservation under Incompatibility for Fluid-Solid-Interaction Problems: the NPCL Method. In: Combescure, A., De Borst, R., Belytschko, T. (eds) IUTAM Symposium on Discretization Methods for Evolving Discontinuities. IUTAM Bookseries, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6530-9_24
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DOI: https://doi.org/10.1007/978-1-4020-6530-9_24
Publisher Name: Springer, Dordrecht
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Online ISBN: 978-1-4020-6530-9
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