Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
How to preserve the mass fractions positivity when computing compressible multi-component flows
Journal of Computational Physics
Computing interface motion in compressible gas dynamics
Journal of Computational Physics
Local piecewise hyperbolic reconstruction of numerical fluxes for nonlinear scalar conservation laws
SIAM Journal on Scientific Computing
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
A variational level set approach to multiphase motion
Journal of Computational Physics
Capturing shock reflections: an improved flux formula
Journal of Computational Physics
A flux-split algorithm applied to relativistic flows
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
Computations of compressible multifluids
Journal of Computational Physics
Shock-Vortex Interactions at High Mach Numbers
Journal of Scientific Computing
A fluid-mixture type algorithm for barotropic two-fluid flow problems
Journal of Computational Physics
A Bi-Hyperbolic Finite Volume Method on Quadrilateral Meshes
Journal of Scientific Computing
Journal of Computational Physics
Implementation of WENO schemes in compressible multicomponent flow problems
Journal of Computational Physics
Journal of Computational Physics
On the Numerical Approximation of the Length of (Implicit) Level Curves
Journal of Scientific Computing
Journal of Computational Physics
An interface capturing method for the simulation of multi-phase compressible flows
Journal of Computational Physics
Applied Numerical Mathematics
High throughput software for direct numerical simulations of compressible two-phase flows
SC '12 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis
Towards front-tracking based on conservation in two space dimensions III, tracking interfaces
Journal of Computational Physics
Hi-index | 31.48 |
In this paper we consider a conservative extension of the Euler equations for gas dynamics to describe a two-component compressible flow in Cartesian coordinates. It is well known that classical shock-capturing schemes applied to conservative models are oscillatory near the interface between the two gases. Several authors have addressed this problem proposing either a primitive consistent algorithm [J. Comput. Phys. 112 (1994) 31] or Lagrangian ingredients (Ghost Fluid Method by Fedkiw et al. [J. Comput. Phys. 152 (1999) 452] and [J. Comput. Phys. 169 (2001) 594]). We solve directly this conservative model by a flux-split algorithm, due to the first author (see [J. Comput. Phys. 125 (1996) 42]), together with a high-order (WENO5) flux reconstruction [J. Comput. Phys. 115 (1994) 200; 83 (1989) 32]. This algorithm seems to reduce the oscillations near the interfaces in a way that does not affect the physics of the experiments. We validate our algorithm with the numerical simulation of the interaction of a Mach 1.22 shock wave impinging a helium bubble in air, under the same conditions studied by Haas and Sturtevant [J. Fluid Mech. 181 (1987) 41] and successfully simulated by Quirk and Karni [J. Fluid Mech. 318 (1996) 129].