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An immersed interface method for the vortex-in-cell algorithm

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Article: N39 | Received 25 Sep 2002, Published online: 24 Jan 2011

References

References

  • Greengard , L and Rokhlin , V . 1987 . A fast algorithm for particle simulations . J. Comput. Phys. , 73 : 325 – 48 .
  • Christiansen , J P . 1973 . Numerical simulation of hydrodynamics by the method of point vortices . J. Comput. Phys. , 13 : 363 – 79 .
  • Hockney , R W . 1970 . The potential calculation and some applications . Methods Comput. Phys. , 9 : 136 – 210 .
  • Beale , J T and Majda , A . 1985 . High order accurate vortex methods with explicit velocity kernels . J. Comput. Phys. , 58 : 188 – 208 .
  • Chorin , A J . 1978 . On the convergence of discrete approximations to the Navier–Stokes equations . SIAM J. Sci. Stat. Comput. , 27 : 341 – 53 .
  • Chorin , A J . 1973 . Numerical study of slightly viscous flow . J. Fluid Mech. , 57 : 785 – 96 .
  • Smith , P A and Stansby , P K . 1989 . An efficient surface algorithm for random-particle simulation of vorticity and heat transport . J. Comput. Phys. , 81 : 349 – 71 .
  • Slaouti , A and Stansby , P K . 1992 . Flow around two circular cylinders by the random-vortex method . J. Fluids Struct. , 6 : 614 – 70 .
  • Ould-Salihi , M L , Cottet , G-H and El Hamraoui , M . 2000 . Blending finite-difference and vortex methods for incompressible flow computations . SIAM J. Sci. Comput. , 22 : 1655 – 74 .
  • Peskin , C . 1972 . Flow patterns around heart valves: a numerical study . J. Comput. Phys. , 10 : 252 – 71 .
  • Walther J H 2002 An influence matrix particle–particle particle–mesh algorithm with exact particle–particle correction J. Comput. Phys. at press
  • Monaghan , J J . 1985 . Extrapolating B splines for interpolation . J. Comput. Phys. , 60 : 253 – 62 .
  • Hockney R W Eastwood J W 1988 Computer Simulation Using Particles 2nd edn Bristol Institute of Physics Publishing
  • Anderson , C R . 1986 . A method of local corrections for computing the velocity field due to a distribution of vortex blobs . J. Comput. Phys. , 62 : 111 – 23 .
  • Theuns , T . 1994 . Parallel P3M with exact calculation of short range forces . Comput. Phys. Commun. , 78 : 238 – 46 .
  • Koumoutsakos , P and Leonard , A . 1995 . High-resolution simulation of the flow around an impulsively started cylinder using vortex methods . J. Fluid Mech. , 296 : 1 – 38 .
  • Ploumhans , P and Winckelmans , G S . 2000 . Vortex methods for high-resolution simulations of viscous flow past bluff bodies of general geometry . J. Comput. Phys. , 165 : 354 – 406 .
  • Talley S Iaccarino G Mungal G Mansour N 2001 An experimental and computational investigation of flow past cacti Annual Research Briefs (Center for Turbulence Research, Stanford 2001) pp 51–63
  • Morgenthal G Walther J H 2002 An immersed interface method for the vortex-in-cell algorithm, in preparation

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