An efficient fluid-solid coupling algorithm for single-phase flows

Journal of Computational Physics

Volumn 228, Issue 23, 2009, Pages 8807-8829

  Ng, Yen Ting ^a   Min, Chohong ^b   Gibou, Frédéric ^a  

^a University of California   (United States)

^b Kyung Hee University   (South Korea)

Author keywords

Hodge decomposition; Irregular domain; Navier Stokes equations; Solid fluid interaction

Indexed keywords

DRAG; LINEAR SYSTEMS; REYNOLDS NUMBER; VISCOUS FLOW;

COUPLING ALGORITHMS; COUPLING METHODS; FLUID-SOLID COUPLING; HODGE DECOMPOSITION; IRREGULAR DOMAINS; NAVIER-STOKES EQUATION; SIMPLE++; SINGLE-PHASE FLOW; SOLID-FLUID INTERACTIONS; SPATIAL DIMENSION;

NAVIER STOKES EQUATIONS;

EID: 70349757149     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.08.032     Document Type: Article

References (25)

1. Aslam T. A partial differential equation approach to multidimensional extrapolation. J. Comput. Phys. 193 (2004) 349-355
2. C. Batty, F. Bertails, R. Bridson, A fast variational framework for accurate solid-fluid coupling, in: ACM Trans. Graph. (SIGGRAPH Proc.), vol. 26(3), 2007.
3. A. Belov, L. Martinelli, A. Jameson, A new implicit algorithm with multigrid for unsteady incompressible flow calculation, in: AIAA Paper 95-0049, 1995.
4. Braza M., Chassaing P., and Ha Minh H. Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder. J. Fluid Mech. 165 (1986) 79-130
5. Calhoun D. A cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions. J. Comput. Phys. 176 2 (2002) 231-275
6. Chorin A. A numerical method for solving incompressible viscous flow problems. J. Comput. Phys. 2 (1967) 12-26
7. Coutanceau M., and Bouard R. Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. Part 1. Steady flow. J. Fluid. Mech. 79 (1977) 231
8. Dennis S., and Chang G. Numerical solutions for steady flow past a circular cylinder at Reynolds number up to 100. J. Fluid. Mech. 42 (1970) 471
9. Gibou F., Fedkiw R., Cheng L.-T., and Kang M. A second-order-accurate symmetric discretization of the Poisson equation on irregular domains. J. Comput. Phys. 176 (2002) 205-227
10. Hirt C., Amsden A., and Cook J. An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J. Comput. Phys. 135 (1974) 227-253
11. Ito K., Lai M.-C., and Li Z. A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. J. Comput. Phys. 228 (2009) 2616-2628
12. Johansen H., and Colella P. A Cartesian grid embedded boundary method for Poisson's equation on irregular domains. J. Comput. Phys. 147 (1998) 60-85
13. Johnson T.A., and Patel V.C. Flow past a sphere up to a reynolds number of 300. J. Fluid Mech. 378 (1999) 19-70
14. LeVeque R., and Li Z. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal. 31 (1994) 1019-1044
15. Liu C., Zheng X., and Sung C.H. Preconditioned multigrid methods for unsteady incompressible flows. J. Comput. Phys. 139 1 (1998) 35-57
16. Min C., and Gibou F. A second order accurate projection method for the incompressible Navier-Stokes equation on non-graded adaptive grids. J. Comput. Phys. 219 (2006) 912-929
17. Min C., and Gibou F. Geometric integration over irregular domains with application to level set methods. J. Comput. Phys. 226 (2007) 1432-1443
18. Min C., and Gibou F. A second order accurate level set method on non-graded adaptive Cartesian grids. J. Comput. Phys. 225 (2007) 300-321
19. Min C., Gibou F., and Ceniceros H. A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids. J. Comput. Phys. 218 (2006) 123-140
20. Osher S., and Fedkiw R. Level Set Methods and Dynamic Implicit Surfaces (2002), Springer-Verlag, New York, NY
21. Peskin C. Flow patterns around heart valves: a numerical method. J. Comput. Phys. 10 (1972) 252-271
22. Roos F.W., and Willmarth W.W. Some experimental results on sphere and disk drag. AIAA J. 9 (1971) 285-291
23. Sethian J.A. Level Set Methods and Fast Marching Methods (1999), Cambridge University Press, Cambridge
24. Shortley G.H., and Weller R. The numerical solution of Laplaces equation. J. Appl. Phys. 9 (1938) 334-348
25. Xiu D., and Karniadakis G. A semi-Lagrangian high-order method for Navier-Stokes equations. J. Comput. Phys 172 (2001) 658-684