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

Journal of Computational Physics - Tập 228 - Trang 8807-8829 - 2009
Yen Ting Ng1, Chohong Min2, Frédéric Gibou1,3
1Computer Science Department, University of California, Santa Barbara, CA 93106, United States
2Mathematics Department and Research Institute for Basic Sciences, KyungHee University, Seoul 130-701, Republic of Korea
3Mechanical Engineering Department, University of California, Santa Barbara, CA 93106, United States

Tài liệu tham khảo

Aslam, 2004, A partial differential equation approach to multidimensional extrapolation, J. Comput. Phys., 193, 349, 10.1016/j.jcp.2003.08.001 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. A. Belov, L. Martinelli, A. Jameson, A new implicit algorithm with multigrid for unsteady incompressible flow calculation, in: AIAA Paper 95-0049, 1995. Braza, 1986, Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder, J. Fluid Mech., 165, 79, 10.1017/S0022112086003014 Calhoun, 2002, A cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions, J. Comput. Phys., 176, 231, 10.1006/jcph.2001.6970 Chorin, 1967, A numerical method for solving incompressible viscous flow problems, J. Comput. Phys., 2, 12, 10.1016/0021-9991(67)90037-X Coutanceau, 1977, 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, 231, 10.1017/S0022112077000135 Dennis, 1970, Numerical solutions for steady flow past a circular cylinder at Reynolds number up to 100, J. Fluid. Mech., 42, 471, 10.1017/S0022112070001428 Gibou, 2002, A second-order-accurate symmetric discretization of the Poisson equation on irregular domains, J. Comput. Phys., 176, 205, 10.1006/jcph.2001.6977 Hirt, 1974, An arbitrary Lagrangian–Eulerian computing method for all flow speeds, J. Comput. Phys., 135, 227, 10.1016/0021-9991(74)90051-5 Ito, 2009, A well-conditioned augmented system for solving Navier–Stokes equations in irregular domains, J. Comput. Phys., 228, 2616, 10.1016/j.jcp.2008.12.028 Johansen, 1998, A Cartesian grid embedded boundary method for Poisson’s equation on irregular domains, J. Comput. Phys., 147, 60, 10.1006/jcph.1998.5965 Johnson, 1999, Flow past a sphere up to a reynolds number of 300, J. Fluid Mech., 378, 19, 10.1017/S0022112098003206 LeVeque, 1994, The immersed interface method for elliptic equations with discontinuous coefficients and singular sources, SIAM J. Numer. Anal., 31, 1019, 10.1137/0731054 Liu, 1998, Preconditioned multigrid methods for unsteady incompressible flows, J. Comput. Phys., 139, 35, 10.1006/jcph.1997.5859 Min, 2006, A second order accurate projection method for the incompressible Navier–Stokes equation on non-graded adaptive grids, J. Comput. Phys., 219, 912, 10.1016/j.jcp.2006.07.019 Min, 2007, Geometric integration over irregular domains with application to level set methods, J. Comput. Phys., 226, 1432, 10.1016/j.jcp.2007.05.032 Min, 2007, A second order accurate level set method on non-graded adaptive Cartesian grids, J. Comput. Phys., 225, 300, 10.1016/j.jcp.2006.11.034 Min, 2006, A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids, J. Comput. Phys., 218, 123, 10.1016/j.jcp.2006.01.046 Osher, 2002 Peskin, 1972, Flow patterns around heart valves: a numerical method, J. Comput. Phys., 10, 252, 10.1016/0021-9991(72)90065-4 Roos, 1971, Some experimental results on sphere and disk drag, AIAA J., 9, 285, 10.2514/3.6164 Sethian, 1999 Shortley, 1938, The numerical solution of Laplaces equation, J. Appl. Phys., 9, 334, 10.1063/1.1710426 Xiu, 2001, A semi-Lagrangian high-order method for Navier–Stokes equations, J. Comput. Phys, 172, 658, 10.1006/jcph.2001.6847