Simplified second-order Godunov-type methods
SIAM Journal on Scientific and Statistical Computing
High resolution finite volume methods on arbitrary grids via wave propagation
Journal of Computational Physics
A 3D adaptive mesh refinement algorithm for multimaterial gas dynamics
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Multicomponent flow calculations by a consistent primitive algorithm
Journal of Computational Physics
One-dimensional front tracking based on high resolution wave propagation methods
SIAM Journal on Scientific Computing
Journal of Computational Physics
A high-order Godunov method for multiple condensed phases
Journal of Computational Physics
Correction of conservative Euler solvers for gas mixtures
Journal of Computational Physics
Wave propagation algorithms for multidimensional hyperbolic systems
Journal of Computational Physics
On the Choice of Wavespeeds for the HLLC Riemann Solver
SIAM Journal on Scientific Computing
An efficient shock-capturing algorithm for compressible multicomponent problems
Journal of Computational Physics
A multiphase Godunov method for compressbile multifluid and multiphase flows
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
Journal of Computational Physics
A Simple Method for Compressible Multifluid Flows
SIAM Journal on Scientific Computing
A wave propagation method for three-dimensional hyperbolic conservation laws
Journal of Computational Physics
A high-order Eulerian Godunov method for elastic-plastic flow in solids
Journal of Computational Physics
Journal of Computational Physics
Computations of compressible multifluids
Journal of Computational Physics
Journal of Computational Physics
A five-equation model for the simulation of interfaces between compressible fluids
Journal of Computational Physics
Riemann-problem and level-set approaches for homentropic two-fluid flow computations
Journal of Computational Physics
A flux-split algorithm applied to conservative models for multicomponent compressible flows
Journal of Computational Physics
A pressure-invariant conservative Godunov-type method for barotropic two-fluid flows
Journal of Computational Physics
A high-resolution mapped grid algorithm for compressible multiphase flow problems
Journal of Computational Physics
Positivity-preserving Lagrangian scheme for multi-material compressible flow
Journal of Computational Physics
Hi-index | 31.46 |
Our goal is to present a simple interface-capturing approach for barotropic two-fluid flow problems in more than one space dimension. We use the compressible Euler equations in isentropic form as a model system with the thermodynamic property of each fluid component characterized by the Tait equation of state. The algorithm uses a non-isentropic form of the Tait equation of state as a basis to the modeling of the numerically induced mixing between two different barotropic fluid components within a grid cell. Similar to our previous work for multicomponent problems, see [J. Comput. Phys. 171 (2001) 678] and references cited therein, we introduce a mixture type of the model system that consists of the full Euler equations for the basic conserved variables and an additional set of evolution equations for the problem-dependent material quantities and also the approximate location of the interfaces. A standard high-resolution method based on a wave-propagation formulation is employed to solve the proposed model system with the dimensional-splitting technique incorporated in the method for multidimensional problems. Several numerical results are presented in one, two, and three space dimensions that show the feasibility of the method as applied to a reasonable class of practical problems without introducing any spurious oscillations in the pressure near the smeared material interfaces.