A volume-of-fluid interface reconstruction algorithm that is second-order accurate in the max norm

[1]  S. Zaleski,et al.  Analytical relations connecting linear interfaces and volume fractions in rectangular grids , 2000 .

[2]  J. Brackbill,et al.  A continuum method for modeling surface tension , 1992 .

[3]  D. B. Kothe,et al.  Accuracy and Convergence of Continuum Surface Tension Models , 1998 .

[4]  S. Zaleski,et al.  DIRECT NUMERICAL SIMULATION OF FREE-SURFACE AND INTERFACIAL FLOW , 1999 .

[5]  Shirley Dex,et al.  JR 旅客販売総合システム(マルス)における運用及び管理について , 1991 .

[6]  Elbridge Gerry Puckett,et al.  Edge effects in molybdenum‐encapsulated molten silicate shock wave targets , 1994 .

[7]  P. Colella,et al.  A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing , 2002 .

[8]  With Invariant Submanifolds,et al.  Systems of Conservation Laws , 2009 .

[9]  Alexandre J. Chorin,et al.  Curvature and solidification , 1985 .

[10]  C. W. Hirt,et al.  SOLA-VOF: a solution algorithm for transient fluid flow with multiple free boundaries , 1980 .

[11]  D. B. Kothe,et al.  Approximating interfacial topologies with applications for interface tracking algorithms , 1999 .

[12]  Stéphane Popinet,et al.  A front-tracking algorithm for accurate representation of surface tension , 1999 .

[13]  Matthew W. Williams,et al.  Numerical Methods for Tracking Interfaces With Surface Tension in 3-D Mold Filling Processes , 2002 .

[14]  A. Chorin Flame advection and propagation algorithms , 1980 .

[15]  L. F. Henderson,et al.  On the refraction of shock waves at a slow–fast gas interface , 1991, Journal of Fluid Mechanics.

[16]  P. Woodward,et al.  SLIC (Simple Line Interface Calculation) , 1976 .

[17]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[18]  E. Puckett,et al.  A High-Order Godunov Method for Multiple Condensed Phases , 1996 .

[19]  Elbridge Gerry Puckett,et al.  A 3D adaptive mesh refinement algorithm for multimaterial gas dynamics , 1991 .

[20]  Elbridge Gerry Puckett,et al.  ON THE SECOND-ORDER ACCURACY OF VOLUME-OF-FLUID INTERFACE RECONSTRUCTION ALGORITHMS: CONVERGENCE IN THE MAX NORM , 2010 .

[21]  R. LeVeque Numerical methods for conservation laws , 1990 .

[22]  W. Rider,et al.  Reconstructing Volume Tracking , 1998 .

[23]  E. Puckett,et al.  Second-Order Accurate Volume-of-Fluid Algorithms for Tracking Material Interfaces , 2013 .