Sharp interface Cartesian grid method I: An easily implemented technique for 3D moving boundary computations

作者: S. Marella , S. Krishnan , H. Liu , H.S. Udaykumar

DOI: 10.1016/J.JCP.2005.03.031

关键词: Incompressible flowMathematicsComputational scienceBoundary (topology)SolverComputationMultiphase flowGeometryRegular gridMultigrid methodBoundary representation

摘要: … Table 2 shows the comparison of solver parameters (the solve time, work units and number of fine mesh iterations) on a variety of moving boundary problems with immersed interfaces. …

参考文章(81)
John R. Grace, R. Clift, Martin E. Weber, Bubbles, Drops, and Particles ,(1978)
Gretar Tryggvason, Bernard Bunner, Asghar Esmaeeli, Nabeel Al-Rawahi, Computations of Multiphase Flows Advances in Applied Mechanics. ,vol. 39, pp. 81- 120 ,(2003) , 10.1016/S0065-2156(02)39002-1
Frédéric Gibou, Ronald Fedkiw, Russel Caflisch, Stanley Osher, A Level Set Approach for the Numerical Simulation of Dendritic Growth Journal of Scientific Computing. ,vol. 19, pp. 183- 199 ,(2003) , 10.1023/A:1025399807998
T. Ye, R. Mittal, H.S. Udaykumar, W. Shyy, An Accurate Cartesian Grid Method for Viscous Incompressible Flows with Complex Immersed Boundaries Journal of Computational Physics. ,vol. 156, pp. 209- 240 ,(1999) , 10.1006/JCPH.1999.6356
H.S Udaykumar, R Mittal, Wei Shyy, Computation of Solid–Liquid Phase Fronts in the Sharp Interface Limit on Fixed Grids Journal of Computational Physics. ,vol. 153, pp. 535- 574 ,(1999) , 10.1006/JCPH.1999.6294
N. Sukumar, N. Mo�s, B. Moran, T. Belytschko, Extended finite element method for three-dimensional crack modelling International Journal for Numerical Methods in Engineering. ,vol. 48, pp. 1549- 1570 ,(2000) , 10.1002/1097-0207(20000820)48:11<1549::AID-NME955>3.0.CO;2-A
Stéphane Popinet, Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries Journal of Computational Physics. ,vol. 190, pp. 572- 600 ,(2003) , 10.1016/S0021-9991(03)00298-5
John Strain, Fast Tree-Based Redistancing for Level Set Computations Journal of Computational Physics. ,vol. 152, pp. 664- 686 ,(1999) , 10.1006/JCPH.1999.6259
R. Webster, An algebraic multigrid solver for Navier‐Stokes problems International Journal for Numerical Methods in Fluids. ,vol. 18, pp. 761- 780 ,(1994) , 10.1002/FLD.1650180805