High-order stable interpolations for immersed boundary methods

International Journal for Numerical Methods in Fluids

Volumn 52, Issue 11, 2006, Pages 1175-1193

  Peller, Nikolaus ^a   Le Duc, Anne ^a   Tremblay, Frédéric ^b   Manhart, Michael ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b Newmerical Technologies International   (Canada)

Author keywords

Complex flow; Immersed boundary (IB); Lagrange interpolation; Large eddy simulation (LES); Least squares interpolation; Matrix stability analysis

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; FINITE VOLUME METHOD; INCOMPRESSIBLE FLOW; INTERPOLATION; LAGRANGE MULTIPLIERS; NAVIER STOKES EQUATIONS; TURBULENT FLOW;

COMPLEX FLOW; IMMERSE BOUNDARY METHOD; LARGE EDDY SIMULATION; MATRIX STABILITY ANALYSIS; TAYLOR-COUETTE FLOW;

COMPUTATIONAL FLUID DYNAMICS;

BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FINITE VOLUME METHOD; INCOMPRESSIBLE FLOW; INTERPOLATION; LAGRANGE MULTIPLIERS; NAVIER STOKES EQUATIONS; TURBULENT FLOW;

EID: 36249024539     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1227     Document Type: Article

References (24)

1. Verzicco R, Mohd-Yusof J, Orlandi P, Harworth D. Les in complex geometries using boundary body forces. Proceedings of the Summer Program, Center for Turbulence Research, 1998; 171-186.
2. Iaccarino G, Verzicco R. Immersed boundary technique for turbulent flow simulations. Applied Mechanics Review 2003; 56(3):331-347.
3. Mittal R, Iaccarino G. Immersed boundary methods. Annual Review of Fluid Mechanics 2005; 37:239-261.
4. Peskin CS. Flow patterns around heart valves: a numerical method. Journal of Computational Physics 1972; 10:252-271.
5. Lai M-C, Peskin CS. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Journal of Computational Physics 2000; 160:705-719.
6. Goldstein D, Handler R, Sirovich L. Modeling a no-slip boundary with an external force field. Journal of Computational Physics 1993; 105:354-366.
7. Saiki EM, Biringen S. Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method. Journal of Computational Physics 1996; 123:450-465.
8. Fadlun EA, Verzicco R, Orlandi P, Mohd-Yusof J. Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. Journal of Computational Physics 2000; 161:35-60.
9. Mohd-Yusof J. Combined immersed-boundary/B-spline methods for simulations of flow in complex geometries. In Annual Research Briefs. NASA Ames Research Center/Stanford University Center of Turbulence Research: Stanford, 1997; 317-327.
10. Kim J, Kim D, Choi H. An immersed-boundary finite-volume method for simulations of flow in complex geometries. Journal of Computational Physics 2001; 171:132-150.
11. Balaras E. Modeling complex boundaries using an external force field on fixed Cartesian grids in large-eddy simulations. Computers and Fluids 2004; 33:375-404.
12. Tremblay F, Manhart M, Friedrich R. DNS and LES of flow around a circular cylinder at a subcritical Reynolds number with Cartesian grids. In LES of Complex Transitional and Turbulent Flows, Friedrich R, Rodi W (eds). Kluwer Academic Publishers: Dordrecht, 2001; 133-150.
13. Tremblay F, Manhart M, Friedrich R. LES of flow around a circular cylinder at a high subcritical Reynolds number. In Direct and Large-Eddy Simulation IV, Geurts B, Friedrich R, Metais O (eds). Kluwer Academic Publishers: Dordrecht, 2001.
14. Tessicini F, Iaccarino G, Fatica M, Wang M, Verzicco R. Wall modelling for large-eddy simulation using an immersed boundary method. In Annual Research Briefs. NASA Ames Research Center/Stanford University Center of Turbulence Research: Stanford, 2002; 181-187.
15. Majumbar S, Iaccarino G, Durbin P. RANS solvers with adaptive structured boundary non-conforming grids. In Annual Research Briefs. NASA Ames Research Center/Stanford University Center of Turbulence Research: Stanford, 2001; 353-366.
16. Tseng Y-H, Ferziger JH. A ghost-cell immersed boundary method for flow in complex geometry. Journal of Computational Physics 2003; 192:593-623.
17. Manhart M, Tremblay F, Friedrich R. MGLET: a parallel code for efficient DNS and LES of complex geometries. In Parallel Computational Fluid Dynamics 2000, Jensen et al. (eds). Elsevier Science B.V.: Amsterdam, 2001; 449-456.
18. Manhart M. A zonal grid algorithm for DNS of turbulent boundary layers. Computers and Fluids 2004; 33(3):435-461.
19. Schumann U. Linear stability of finite difference equations for three-dimensional flow problems. Journal of Computational Physics 1975; 18:465-470.
20. Ferziger JH, Peric M. Computational Methods for Fluid Dynamics. Springer: Berlin, 1996.
21. Carpenter M, Gottlieb D, Abarbanel S. The stability of numerical boundary treatments for compact high-order finite-difference schemes. Journal of Computational Physics 1993; 108:272-295.
22. Gottlieb D, Gunzburger M, Turkel E. On numerical boundary treatment of hyperbolic systems for finite difference and finite element methods. SINUM, Journal of the Society for Industrial and Applied Mathematics on Numerical Analysis 1982; 19(4):671-682.
23. Tritton DJ. Physical Fluid Dynamics. Oxford University Press: Oxford, 1988.
24. Le Duc A, Peller N, Manhart M, Wachsmann E-P. Aerodynamics and acoustic sources of the exhaust jet in a car air-conditioning system. In Proceedings of the ERCOFTAC International Symposium on Engineering Turbulence Modelling and Measurements, ETMM6, Rodi W, Mulas M (eds). Elsevier: Amsterdam, 2005; 709-718.