Numerical simulations of free-interface fluids by a multi-integrated moment method

[1]  C. K. Thornhill,et al.  Part IV. An experimental study of the collapse of liquid columns on a rigid horizontal plane , 1952, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[2]  G. Strang.  On the Construction and Comparison of Difference Schemes , 1968 .

[3]  U. Ghia,et al.  High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method , 1982 .

[4]  M. Prather.  Numerical advection by conservation of second-order moments. [for trace element spatial distribution and chemical interaction in atmosphere] , 1986 .

[5]  Takashi Yabe,et al.  A universal solver for hyperbolic equations by cubic-polynomial interpolation. II, Two- and three-dimensional solvers , 1991 .

[6]  Takashi Yabe,et al.  A universal solver for hyperbolic equations by cubic-polynomial interpolation I. One-dimensional solver , 1991 .

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

[8]  Henk A. van der Vorst,et al.  Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems , 1992, SIAM J. Sci. Comput..

[9]  C. W. Hirt,et al.  Volume-fraction techniques: powerful tools for wind engineering , 1993 .

[10]  Shiyi Chen,et al.  Simulation of Cavity Flow by the Lattice Boltzmann Method , 1994, comp-gas/9401003.

[11]  S. Osher,et al.  A level set approach for computing solutions to incompressible two-phase flow , 1994 .

[12]  J. Brock,et al.  Volume tracking of interfaces having surface tension in two and three dimensions , 1996 .

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

[14]  A. Clappier.  A Correction Method for Use in Multidimensional Time-Splitting Advection Algorithms: Application to Two- and Three-Dimensional Transport , 1998 .

[15]  T. Yabe,et al.  An Exactly Conservative Semi-Lagrangian Scheme (CIP–CSL) in One Dimension , 2001 .

[16]  Feng Xiao.  Implementations of multi-fluid hydrodynamic simulations on distributed memory computer with a fully parallelizable preconditioned Bi-CGSTAB method , 2001 .

[17]  T. Yabe,et al.  Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique , 2001 .

[18]  T. Yabe,et al.  The constrained interpolation profile method for multiphase analysis , 2001 .

[19]  T. Yabe,et al.  Completely conservative and oscillationless semi-Lagrangian schemes for advection transportation , 2001 .

[20]  Feng Xiao,et al.  Development of Conservative Front-Capturing Scheme and Applications to Multi-fluid Simulations , 2002 .

[21]  Nikolay Ivanov Kolev.  Multiphase Flow Dynamics 1 , 2002 .

[22]  T. Yabe,et al.  Conservative and oscillation-less atmospheric transport schemes based on rational functions , 2002 .

[23]  Feng Xiao,et al.  An efficient method for capturing free boundaries in multi‐fluid simulations , 2003 .

[24]  Karkenahalli Srinivas,et al.  Computational Fluid Dynamics 2002 , 2003 .

[25]  Feng Xiao,et al.  Profile-modifiable Conservative Transport Schemes and a Simple Multi-integrated Moment Formulation for Hydrodynamics , 2003 .

[26]  Feng Xiao,et al.  Unified formulation for compressible and incompressible flows by using multi-integrated moments I: one-dimensional inviscid compressible flow , 2004 .