Abstract
We propose a general explicit coupling method between a Finite Volume method for compressible flow and a rigid body. The coupling strategy is based on the idea of Embedded Boundary methods (Pember et al., J. Comput. Phys. 120:278–304, 1995). The fluxes are computed everywhere in the Cartesian grid, and are modified at the solid boundaries to enforce fluid mass conservation. The coupling between the fluid and the solid is designed to ensure a balance in momentum and energy. We prove the exact numerical conservation of several simple uniform flows. An illustrative example of the liftoff of a cylinder by a shock wave is presented and compared with existing results.
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References
Aquelet, N., Souli, M., Olovsson, L.: Euler-lagrange coupling with damping effects: Application to slamming problems. Comput. Methods Appl. Mech. Eng. 195(1–3), 110–132 (2006)
Arienti, R., Hung, P., Morano, E., Shepherd, J.E.: A level set approach to Eulerian-Lagrangian coupling. J. Comput. Phys. 185, 213–251 (2003)
Daru, V., Tenaud, C.: High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations. J. Comput. Phys. 193(2), 563–594 (2004)
Donea, J., Giuliani, S., Halleux, J.P.: An arbitrary Lagragian Eulerian finite element method for transient dynamic fluid-structure interactions. Comput. Methods Appl. Mech. Eng. 33, 689–723 (1982)
Dragojlovic, Z., Najmabadi, F., Day, M.: An embedded boundary method for viscous, conducting compressible flow. J. Comput. Phys. 216(1), 37–51 (2006)
Fadlun, E.A., Verzicco, R., Orlandi, P., Mohd-Yusof, J.: Combined immmersed-boundary finite-difference methods for three-dimensional complex flow simulations. J. Comput. Phys. 161(1), 35–60 (2000)
Falcovitz, J., Alfandary, G., Hanoch, G.: A two-dimensional conservation laws scheme for compressible flows with moving boundaries. J. Comput. Phys. 138, 83–102 (1997)
Hu, X.Y., Khoo, B.C., Adams, N.A., Huang, F.L.: A conservative interface method for compressible flows. J. Comput. Phys. 219(2), 553–578 (2006)
Miller, G.H., Colella, P.: A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing. J. Comput. Phys. 183(1), 26–82 (2002)
Mohd-Yusof, J.: Combined immersed-boundary/b-spline methods for simulation of flow in complex geometries. CTR Annual Research Briefs, Center for Turbulence Research, NASA Ames/Stanford University (1997)
Monasse, L., Mariotti, C.: An energy-preserving discrete element method for elastodynamics. (submitted to ESAIM journal “Mathematical Modelling and Numerical Analysis”)
De Palma, P.M., de Tullio, D., Pascazio, G., Napolitano, M.: An immersedboundary method for compressible viscous flows. Comp. Fluid 35(7), 693–702 (2006)
Pember, R.B., Bell, J.B., Colella, P., Crutchfield, W.Y., Welcome, M.L.: An adaptive Cartesian grid method for unsteady compressible flow in irregular regions. J. Comput. Phys. 120, 278–304 (1995)
Peskin, C.S.: Numerical analysis of blood flow in the heart. J. Comput. Phys. 25, 220–252 (1977)
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© 2011 Springer-Verlag Berlin Heidelberg
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Monasse, L., Daru, V., Mariotti, C., Piperno, S. (2011). A Conservative Coupling Method for Fluid-Structure Interaction in the Compressible Case. In: Kuzmin, A. (eds) Computational Fluid Dynamics 2010. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17884-9_59
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DOI: https://doi.org/10.1007/978-3-642-17884-9_59
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