High resolution finite volume methods on arbitrary grids via wave propagation
Journal of Computational Physics
A continuum method for modeling surface tension
Journal of Computational Physics
Journal of Computational Physics
An efficient shock-capturing algorithm for compressible multicomponent problems
Journal of Computational Physics
Journal of Computational Physics
A wave propagation method for three-dimensional hyperbolic conservation laws
Journal of Computational Physics
Journal of Computational Physics
A five-equation model for the simulation of interfaces between compressible fluids
Journal of Computational Physics
Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
SIAM Journal on Numerical Analysis
A fluid-mixture type algorithm for barotropic two-fluid flow problems
Journal of Computational Physics
Isentropic one-fluid modelling of unsteady cavitating flow
Journal of Computational Physics
A compressible flow model with capillary effects
Journal of Computational Physics
Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow
Journal of Computational Physics
Principles of Computational Fluid Dynamics
Principles of Computational Fluid Dynamics
A high-resolution Godunov method for compressible multi-material flow on overlapping grids
Journal of Computational Physics
A high order ENO conservative Lagrangian type scheme for the compressible Euler equations
Journal of Computational Physics
Second-Order Accurate Godunov Scheme for Multicomponent Flows on Moving Triangular Meshes
Journal of Scientific Computing
Journal of Computational Physics
A study on the extension of a VOF/PLIC based method to a curvilinear co-ordinate system
International Journal of Computational Fluid Dynamics
Python Tools for Reproducible Research on Hyperbolic Problems
Computing in Science and Engineering
A high-resolution mapped grid algorithm for compressible multiphase flow problems
Journal of Computational Physics
An unsplit Godunov method for systems of conservation laws on curvilinear overlapping grids
Mathematical and Computer Modelling: An International Journal
A high-resolution mapped grid algorithm for compressible multiphase flow problems
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.46 |
We describe a simple mapped-grid approach for the efficient numerical simulation of compressible multiphase flow in general multi-dimensional geometries. The algorithm uses a curvilinear coordinate formulation of the equations that is derived for the Euler equations with the stiffened gas equation of state to ensure the correct fluid mixing when approximating the equations numerically with material interfaces. A @c-based and a @a-based model have been described that is an easy extension of the Cartesian coordinates counterpart devised previously by the author [30]. A standard high-resolution mapped grid method in wave-propagation form is employed to solve the proposed multiphase models, giving the natural generalization of the previous one from single-phase to multiphase flow problems. We validate our algorithm by performing numerical tests in two and three dimensions that show second order accurate results for smooth flow problems and also free of spurious oscillations in the pressure for problems with interfaces. This includes also some tests where our quadrilateral-grid results in two dimensions are in direct comparisons with those obtained using a wave-propagation based Cartesian grid embedded boundary method.