A continuum method for modeling surface tension
Journal of Computational Physics
Three-Dimensional Front Tracking
SIAM Journal on Scientific Computing
Stable Methods for Vortex Sheet Motion in the Presence of Surface Tension
SIAM Journal on Scientific Computing
The ghost fluid method for deflagration and detonation discontinuities
Journal of Computational Physics
Journal of Computational Physics
Robust Computational Algorithms for Dynamic Interface Tracking in Three Dimensions
SIAM Journal on Scientific Computing
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Interface Tracking for Axisymmetric Flows
SIAM Journal on Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
Ghost fluid method for strong shock impacting on material interface
Journal of Computational Physics
A numerical method for three-dimensional gas-liquid flow computations
Journal of Computational Physics
An interface interaction method for compressible multifluids
Journal of Computational Physics
A Eulerian level set/vortex sheet method for two-phase interface dynamics
Journal of Computational Physics
The ghost fluid method for compressible gas-water simulation
Journal of Computational Physics
Adaptive characteristics-based matching for compressible multifluid dynamics
Journal of Computational Physics
A simple package for front tracking
Journal of Computational Physics
A front tracking algorithm for limited mass diffusion
Journal of Computational Physics
Consistent computation of first- and second-order differential quantities for surface meshes
Proceedings of the 2008 ACM symposium on Solid and physical modeling
An accurate conservative level set/ghost fluid method for simulating turbulent atomization
Journal of Computational Physics
A front-tracking/ghost-fluid method for fluid interfaces in compressible flows
Journal of Computational Physics
A ghost fluid method for compressible reacting flows with phase change
Journal of Computational Physics
Journal of Scientific Computing
Journal of Computational Physics
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This paper presents a method for simulating compressible two-phase flow by combining the best features of a front tracking method (FT) and a ghost fluid method (GFM). In contrast to GFM, a Riemann problem is solved to find the ghost states. And in contrast to FT, the front states used in the Riemann problem are not dynamic variables but are obtained by extrapolation from the interior (grid) states. Pressure jumps associated with surface tension forces are modeled in the Riemann problem. This method handles surface tension forces in a sharp way and avoids artificially spreading surface tension forces over the computational grid as used in continuous surface models. To handle the topological bifurcations of a three-dimensional (3D) surface mesh in the FT, an improved locally grid-based method (LGB) is proposed. The method is robust and minimizes the numerical mass diffusion due to interface reconstruction. The performance of the method is assessed from a broad set of test problems including compressible Kelvin-Helmholtz instabilities, parasitic currents, drop oscillation, bubble-shock interaction, and Rayleigh instabilities. The proposed new method is shown to be comparable to either of its constituent methods by themselves. The advantage of the new method lies in the removal of late time instabilities associated with both of the constituent methods when applied to the 3D simulation of a high speed jet.