Solution of the implicitly discretised fluid flow equations by operator-splitting
Journal of Computational Physics
Journal of Computational Physics
A unified method for computing incompressible and compressible flows in boundary-fitted coordinates
Journal of Computational Physics
The constrained interpolation profile method for multiphase analysis
Journal of Computational Physics
Completely conservative and oscillationless semi-Lagrangian schemes for advection transportation
Journal of Computational Physics
Principles of Computational Fluid Dynamics
Principles of Computational Fluid Dynamics
Numerical simulations of free-interface fluids by a multi-integrated moment method
Computers and Structures
Journal of Computational Physics
Efficient implementation of THINC scheme: A simple and practical smoothed VOF algorithm
Journal of Computational Physics
Adaptive solution techniques for simulating underwater explosions and implosions
Journal of Computational Physics
Shallow water model on cubed-sphere by multi-moment finite volume method
Journal of Computational Physics
Journal of Scientific Computing
Large scale numerical simulations for multi-phase fluid dynamics with moving interfaces
International Journal of Computational Fluid Dynamics
High order multi-moment constrained finite volume method. Part I: Basic formulation
Journal of Computational Physics
A method for avoiding the acoustic time step restriction in compressible flow
Journal of Computational Physics
Journal of Computational Physics
A multi-moment finite volume formulation for shallow water equations on unstructured mesh
Journal of Computational Physics
A numerical method for the simulation of low Mach number liquid-gas flows
Journal of Computational Physics
Multi-moment advection scheme for Vlasov simulations
Journal of Computational Physics
A conservative multi-tracer transport scheme for spectral-element spherical grids
Journal of Computational Physics
Hi-index | 31.50 |
Following our previous paper on a novel finite volume formulation for computing flows of any Mach number, we present the multi-dimensional extension of the method in this paper. Treating two kinds of averages, which are generically called 'moments' and defined as the volume integrated average (VIA) and the surface integrated average (SIA) in this paper, as the prognostic variables makes the present method different from the conventional finite volume method where only VIA is the basic variable. The resulting discretization approach, which is a type of the CIP/multi-moment finite volume method and called VSIAM3 (volume/surface integrated average-based multi-moment method), is combined with a pressure-based projection formulation for the time integration to enable the simulations for both compressible and incompressible flows. The numerical algorithm for multi-dimensions will be reported in this paper. Numerical experiments with flows of a wide range Mach numbers will be also presented.