Solution of the implicitly discretised fluid flow equations by operator-splitting
Journal of Computational Physics
Journal of Computational Physics
An artificial compression method for ENO schemes: the slope modification method
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
A well-behaved TVD limiter for high-resolution calculations of unsteady flow
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
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
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
Numerical simulations of free-interface fluids by a multi-integrated moment method
Computers and Structures
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
Hi-index | 31.49 |
This paper presents a novel numerical formulation for computing flows of any Mach number. The following features make the present scheme different from the existing works: (1) The spatial discretizations are constructed by using two kinds of moments which are defined as the volume integrated average (VIA) and the surface integrated average (SIA), both of which are computed as the prognostic variables; (2) the CIP-CSL3 (constrained interpolation profile-conservative semi-lagrangian with third-order polynomial function) scheme is used for the advection transport; (3) a simple artificial compression can be devised by modifying the slope parameter in the CIP-CSL3 scheme. Moreover, the conservation is exactly assured for the VIA quantities. As the first of the series, this paper mainly focuses on the computations of inviscid compressible flows. Our numerical results show that the present method gives correct shock speed, well-resolved shock front, contact discontinuity and rarefaction waves for a wide spectrum of test problems.