A multiresolution remeshed Vortex-In-Cell algorithm using patches

Journal of Computational Physics - Tập 230 - Trang 6742-6755 - 2011
Johannes Tophøj Rasmussen1, Georges-Henri Cottet2, Jens Honoré Walther1,3
1Department of Mechanical Engineering, Technical University of Denmark, Building 403, DK-2800 Kgs. Lyngby, Denmark
2Laboratoire Jean Kuntzmann, Université Joseph Fourier, 51 rue des Mathématiques, 38041 Grenoble Cedex 9, France
3Computational Science and Engineering Laboratory, ETH Zürich, Universitätsstrasse 6, CH-8092 Zürich, Switzerland

Tài liệu tham khảo

Birdsall, 1969, Clouds-in-clouds, clouds-in-cells physics for many-body plasma simulation, J. Comput. Phys., 3, 494, 10.1016/0021-9991(69)90058-8 Christiansen, 1973, Numerical simulation of hydrodynamics by the method of point vortices, J. Comput. Phys., 13, 363, 10.1016/0021-9991(73)90042-9 Greengard, 1987, A fast algorithm for particle simulations, J. Comput. Phys., 73, 325, 10.1016/0021-9991(87)90140-9 Carrier, 1988, A fast adaptive multipole algorithm for particle simulations, SIAM J. Sci. Stat. Comput., 9, 669, 10.1137/0909044 Cheng, 1999, A fast adaptive multipole algorithm in three dimensions, J. Comput. Phys., 155, 468, 10.1006/jcph.1999.6355 Ploumhans, 2002, Vortex methods for direct numerical simulation of three-dimensional bluff body flows: Applications to the sphere at Re=300, 500 and 1000, J. Comput. Phys., 178, 427, 10.1006/jcph.2002.7035 Cottet, 1991, Particle-grid domain decomposition methods for the Navier–Stokes equations in exterior domains, Lect. Appl. Math., 28, 103 Ould-Salihi, 2000, Blending finite-difference and vortex methods for incompressible flow computations, SIAM J. Sci. Comput., 22, 1655, 10.1137/S1064827599350769 Winckelmans, 2005, Vortex methods and their application to trailing wake vortex simulations, C.R. Physique, 6, 467, 10.1016/j.crhy.2005.05.001 Cocle, 2008, Combining the vortex-in-cell and parallel fast multipole methods for efficient domain decomposition simulations, J. Comput. Phys., 227, 9091, 10.1016/j.jcp.2007.10.010 Sbalzarini, 2006, PPM – a highly efficient parallel particle-mesh library for the simulation of continuum systems, J. Comput. Phys., 215, 566, 10.1016/j.jcp.2005.11.017 Chatelain, 2008, Billion vortex particle direct numerical simulations of aircraft wakes, Comp. Methods Appl. Mech. Eng., 197, 1296, 10.1016/j.cma.2007.11.016 Coquerelle, 2008, A vortex level set method for the two-way coupling of an incompressible fluid with colliding rigid bodies, J. Comput. Phys., 227, 9121, 10.1016/j.jcp.2008.03.041 Hockney, 1970, The potential calculation and some applications, Methods Comput. Phys., 9, 136 Hockney, 1988 Morgenthal, 2007, An immersed interface method for the vortex-in-cell algorithm, Comput. Struct., 85, 712, 10.1016/j.compstruc.2007.01.020 Chatelain, 2010, A Fourier-based elliptic solver for vortical flows with periodic and unbounded directions, J. Comput. Phys., 229, 2425, 10.1016/j.jcp.2009.12.035 Cottet, 2000, Vortex methods with spatially varying cores, J. Comput. Phys., 162, 164, 10.1006/jcph.2000.6531 Stansby, 1993, Simulation of vortex shedding including blockage by the random-vortex and other methods, Int. J. Numer. Methods Fluids, 7, 1003, 10.1002/fld.1650171107 El Ossmani, 2010, Efficiency of multiscale hybrid grid-particle vortex methods, Multiscale Model. Simul., 8, 1671, 10.1137/090765006 Bergdorf, 2005, Multilevel adaptive particle methods for convection-diffusion equations, Multiscale Model. Simul., 4, 328, 10.1137/040602882 Barton, 1989, Elements of Green’s functions and propagation Monaghan, 1985, Extrapolating B splines for interpolation, J. Comput. Phys., 60, 253, 10.1016/0021-9991(85)90006-3 Koumoutsakos, 1995, High-resolution simulation of the flow around an impulsively started cylinder using vortex methods, J. Fluid Mech., 296, 1, 10.1017/S0022112095002059 Angot, 1999, A penalization method to take into account obstacles in incompressible viscous flows, Numer. Math., 81, 497, 10.1007/s002110050401 Kevlahan, 2001, Computation of turbulent flow past an array of cylinders using a spectral method with Brinkman penalization, Eur. J. Mech. B, 20, 333, 10.1016/S0997-7546(00)01121-3 J.C. Wu, N.L. Sankar, Aerodynamic force and moment in steady and time-dependent viscous flows, in: 18th AIAA Aerospace Sciences Meeting, Pasadena, California, 1980. Noca, 1997, Measuring instantaneous fluid dynamic forces on bodies, using only velocity fields and their derivatives, J. Fluids Struct., 11, 345, 10.1006/jfls.1997.0081 Walther, 1997, Discrete vortex method for application to bluff body aerodynamics, J. Wind Eng. Ind. Aerodyn., 67–68, 183 Perlman, 1985, On the accuracy of vortex methods, J. Comput. Phys., 59, 200, 10.1016/0021-9991(85)90142-1 Harris, 1978, On the use of windows for harmonic analysis with the discrete Fourier transform, Proc. IEEE, 66, 51, 10.1109/PROC.1978.10837 Schlatter, 2005, A windowing method for periodic inflow/outflow boundary treatment of non-periodic flows, J. Comput. Phys., 206, 505, 10.1016/j.jcp.2004.12.015 Rossinelli, 2010, GPU accelerated simulations of bluff body flows using vortex particle methods, J. Comput. Phys., 229, 3316, 10.1016/j.jcp.2010.01.004 Chou, 2000, Numerical study of vortex shedding from a rotating cylinder immersed in a uniform flow field, Int. J. Numer. Methods Fluids, 32, 545, 10.1002/(SICI)1097-0363(20000315)32:5<545::AID-FLD948>3.0.CO;2-2 Larsen, 1998, Discrete vortex simulation of flow around five generic bridge deck sections, J. Wind Eng. Ind. Aerodyn., 77–78, 591, 10.1016/S0167-6105(98)00175-5