A numerical method for incompressible and compressible flow problems with smooth solutions
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Non-oscillatory central differencing for hyperbolic conservation laws
Journal of Computational Physics
Multicomponent flow calculations by a consistent primitive algorithm
Journal of Computational Physics
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
Journal of Computational Physics
A numerical method for solving incompressible viscous flow problems
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
An arbitrary Lagrangian-Eulerian computing method for all flow speeds
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
A unified method for computing incompressible and compressible flows in boundary-fitted coordinates
Journal of Computational Physics
Journal of Computational Physics
A projection method for low speed flows
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
The ghost fluid method for deflagration and detonation discontinuities
Journal of Computational Physics
Journal of Computational Physics
A level-set algorithm for tracking discontinuities in hyperbolic conservation laws
Journal of Computational Physics
The constrained interpolation profile method for multiphase analysis
Journal of Computational Physics
Computations of compressible multifluids
Journal of Computational Physics
Riemann-problem and level-set approaches for homentropic two-fluid flow computations
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Principles of Computational Fluid Dynamics
Principles of Computational Fluid Dynamics
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Journal of Computational Physics
Journal of Computational Physics
A conservative interface method for compressible flows
Journal of Computational Physics
Adaptive solution techniques for simulating underwater explosions and implosions
Journal of Computational Physics
A method for avoiding the acoustic time step restriction in compressible flow
Journal of Computational Physics
ENO adaptive method for solving one-dimensional conservation laws
Applied Numerical Mathematics
A second order self-consistent IMEX method for radiation hydrodynamics
Journal of Computational Physics
A numerical method for the simulation of low Mach number liquid-gas flows
Journal of Computational Physics
Hi-index | 31.47 |
In this paper, we present a new second order primitive preconditioner technique for solving all speed multi-phase flow problems. With this technique, one can compute both compressible and incompressible flows with Mach-uniform accuracy and efficiency (i.e., accuracy and efficiency of the method are independent of Mach number). The new primitive preconditioner can handle both strong and weak shocks, providing highly resolved shock solutions together with correct shock speeds. In addition, the new technique performs very well at the zero Mach limit. In the case of multi-phase flow, the new primitive preconditioner technique enables one to accurately treat phase boundaries in which there is a large impedance mismatch. The present method is tested on a variety of problems from low (low speed) to high Mach number (high speed) flows including multi-phase flow tests, i.e., computing the growth and collapse of adiabatic bubbles for study of underwater explosions. The numerical results show that the newly proposed method supersedes existing up-to-date numerical techniques in its category.