A quadrature-free discontinuous Galerkin method for the level set equation
暂无分享,去创建一个
Jean-François Remacle | Emilie Marchandise | Nicolas Chevaugeon | J. Remacle | N. Chevaugeon | E. Marchandise
[1] M. Rudman. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, VOL. 24, 671–691 (1997) VOLUME-TRACKING METHODS FOR INTERFACIAL FLOW CALCULATIONS , 2022 .
[2] R. LeVeque. High-resolution conservative algorithms for advection in incompressible flow , 1996 .
[3] Ronald Fedkiw,et al. Regular Article: The Ghost Fluid Method for Deflagration and Detonation Discontinuities , 1999 .
[4] S. Osher,et al. An improved level set method for incompressible two-phase flows , 1998 .
[5] E. Puckett,et al. Second-Order Accurate Volume-of-Fluid Algorithms for Tracking Material Interfaces , 2013 .
[6] M. Sussman,et al. A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows , 2000 .
[7] Chi-Wang Shu,et al. The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case , 1990 .
[8] Mark Sussman,et al. A Discontinuous Spectral Element Method for the Level Set Equation , 2003, J. Sci. Comput..
[9] Bernardo Cockburn,et al. The Runge-Kutta local projection discontinous Galerkin finite element method for conservation laws , 1990 .
[10] Harold L. Atkins,et al. Eigensolution analysis of the discontinuous Galerkin method with non-uniform grids , 2001 .
[11] Jean-François Remacle,et al. An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems , 2003, SIAM Rev..
[12] J. Remacle,et al. Efficient visualization of high‐order finite elements , 2007 .
[13] S. Osher,et al. Algorithms Based on Hamilton-Jacobi Formulations , 1988 .
[14] T. Belytschko,et al. MODELING HOLES AND INCLUSIONS BY LEVEL SETS IN THE EXTENDED FINITE-ELEMENT METHOD , 2001 .
[15] Ian M. Mitchell,et al. A hybrid particle level set method for improved interface capturing , 2002 .
[16] J. Halleux,et al. An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions , 1982 .
[17] Chi-Wang Shu,et al. TVB Runge-Kutta local projection discontinuous galerkin finite element method for conservation laws. II: General framework , 1989 .
[18] J. Strain. A Fast Modular Semi-Lagrangian Method for Moving Interfaces , 2000 .
[19] Eric F Darve,et al. Author ' s personal copy A hybrid method for the parallel computation of Green ’ s functions , 2009 .
[20] Danping Peng,et al. Weighted ENO Schemes for Hamilton-Jacobi Equations , 1999, SIAM J. Sci. Comput..
[21] Jean-François Remacle,et al. A computational approach to handle complex microstructure geometries , 2003 .
[22] C. W. Hirt,et al. An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds , 1997 .
[23] S. Mauch. A Fast Algorithm for Computing the Closest Point and Distance Transform , 2000 .
[24] J. Sethian,et al. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .
[25] J. Strain. Tree Methods for Moving Interfaces , 1999 .
[26] Anna-Karin Tornberg,et al. Interface tracking methods with application to multiphase flows , 2000 .
[27] S. Osher,et al. A level set approach for computing solutions to incompressible two-phase flow , 1994 .
[28] S. Osher,et al. High-order essentially nonsocillatory schemes for Hamilton-Jacobi equations , 1990 .
[29] Mark Sussman,et al. An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow , 1999, SIAM J. Sci. Comput..
[30] J. Sethian,et al. A Level Set Approach to a Unified Model for Etching, Deposition, and Lithography III: Re-Deposition, , 1997 .
[31] Wing Kam Liu,et al. Lagrangian-Eulerian finite element formulation for incompressible viscous flows☆ , 1981 .
[32] M. Y. Hussaini,et al. An efficient implicit discontinuous spectral Galerkin method , 2001 .
[33] Chi-Wang Shu,et al. Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems , 2001, J. Sci. Comput..
[34] S. Zalesak. Fully multidimensional flux-corrected transport algorithms for fluids , 1979 .
[35] D. Chopp,et al. Extended finite element method and fast marching method for three-dimensional fatigue crack propagation , 2003 .
[36] Jack J. Dongarra,et al. Automatically Tuned Linear Algebra Software , 1998, Proceedings of the IEEE/ACM SC98 Conference.
[37] Alex M. Andrew,et al. Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science (2nd edition) , 2000 .
[38] Wulf G. Dettmer,et al. On a finite element formulation for incompressible Newtonian fluid flows on moving domains in the presence of surface tension , 2003 .
[39] C. W. Hirt,et al. Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .
[40] David L. Chopp,et al. Some Improvements of the Fast Marching Method , 2001, SIAM J. Sci. Comput..
[41] Mark Ainsworth,et al. Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods , 2004 .
[42] Wang Hai-bing,et al. High-order essentially non-oscillatory schemes for Hamilton-Jacobi equations , 2006 .
[43] D. Chopp. Computing Minimal Surfaces via Level Set Curvature Flow , 1993 .
[44] Frank Losasso,et al. A fast and accurate semi-Lagrangian particle level set method , 2005 .
[45] R. Fedkiw,et al. The Ghost Fluid Method for de agration and detonation discontinuities , 1998 .
[46] S. Osher,et al. Computing interface motion in compressible gas dynamics , 1992 .
[47] A. Smolianski. Numerical Modeling of Two-Fluid Interfacial Flows , 2001 .
[48] Sunil Arya,et al. An optimal algorithm for approximate nearest neighbor searching fixed dimensions , 1998, JACM.
[49] J. Sethian,et al. FRONTS PROPAGATING WITH CURVATURE DEPENDENT SPEED: ALGORITHMS BASED ON HAMILTON-JACOB1 FORMULATIONS , 2003 .