A high order moving boundary treatment for compressible inviscid flows

Journal of Computational Physics

Volumn 230, Issue 15, 2011, Pages 6023-6036

  Tan, Sirui ^a   Shu, Chi Wang ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

Complex moving boundaries; Compressible inviscid flows; Inverse Lax Wendroff procedure; No penetration conditions; Numerical boundary conditions

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; INVERSE PROBLEMS; RUNGE KUTTA METHODS; VISCOUS FLOW;

COMPLEX MOVING BOUNDARIES; COMPRESSIBLE INVISCID FLOW; CONDITION; HIGH-ORDER; HIGHER-ORDER; INVERSE LAX-WENDROFF PROCEDURE; INVISCID FLOWS; MOVING BOUNDARIES; NO-PENETRATION CONDITION; NUMERICAL BOUNDARY CONDITIONS;

FINITE DIFFERENCE METHOD;

EID: 79956074663     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2011.04.011     Document Type: Article

References (17)

1. Arienti M., Hung P., Morano E., Shepherd J.E. A level set approach to Eulerian-Lagrangian coupling. Journal of Computational Physics 2003, 185:213-251.
2. Carpenter M.H., Gottlieb D., Abarbanel S., Don W.-S. The theoretical accuracy of Runge-Kutta time discretizations for the initial boundary value problem: a study of the boundary error. SIAM Journal on Scientific Computing 1995, 16:1241-1252.
3. Cheng J., Shu C.-W. A high order ENO conservative Lagrangian type scheme for the compressible Euler equations. Journal of Computational Physics 2007, 227:1567-1596.
4. De Palma P., de Tullio M.D., Pascazio G., Napolitano M. An immersed-boundary method for compressible viscous flows. Computers & Fluids 2006, 35:693-702.
5. de Tullio M.D., De Palma P., Iaccarino G., Pascazio G., Napolitano M. An immersed boundary method for compressible flows using local grid refinement. Journal of Computational Physics 2007, 225:2098-2117.
6. Falcovitz J., Alfandary G., Hanoch G. A two-dimensional conservation laws scheme for compressible flows with moving boundaries. Journal of Computational Physics 1997, 138:83-102.
7. Forrer H., Berger M. Flow simulations on Cartesian grids involving complex moving geometries. International Series of Numerical Mathematics 1999, 129. Birkhäuser Verlag, Basel/Switzerland, pp. 315-324.
8. Ghias R., Mittal R., Dong H. A sharp interface immersed boundary method for compressible viscous flows. Journal of Computational Physics 2007, 225:528-553.
9. Hu X.Y., Khoo B.C., Adams N.A., Huang F.L. A conservative interface method for compressible flows. Journal of Computational Physics 2006, 219:553-578.
10. Jiang G.-S., Shu C.-W. Efficient implementation of weighted ENO schemes. Journal of Computational Physics 1996, 126:202-228.
11. Liepmann H.W., Roshko A. Elements of Gasdynamics 1957, John Wiley & Sons, 62-79.
12. Mittal R., Iaccarino G. Immersed boundary methods. Annual Review of Fluid Mechanics 2005, 37:239-261.
13. S.M. Murman, M.J. Aftosmis, M.J. Berger, Implicit approaches for moving boundaries in a 3-D Cartesian method, AIAA Paper No. 2003-1119, 2003.
14. Peskin C.S. Flow patterns around the heart valves. Journal of Computational Physics 1972, 10:252-271.
15. Shu C.-W., Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes. Journal of Computational Physics 1988, 77:439-471.
16. Shyue K.-M. A Moving-Boundary Tracking Algorithm for Inviscid Compressible Flow, Hyperbolic Problems: Theory, Numerics, Applications 2008, Springer, Berlin Heidelberg, pp. 989-996.
17. Tan S., Shu C.-W. Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws. Journal of Computational Physics 2010, 229:8144-8166.