Front tracking for gas dynamics
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
Adaptive grid generation from harmonic maps on Reimannian manifolds
Journal of Computational Physics
How to preserve the mass fractions positivity when computing compressible multi-component flows
Journal of Computational Physics
High-order ENO schemes applied to two- and three-dimensional compressible flow
Applied Numerical Mathematics
An adaptive grid with directional control
Journal of Computational Physics
Moving mesh methods based on moving mesh partial differential equations
Journal of Computational Physics
Multicomponent flow calculations by a consistent primitive algorithm
Journal of Computational Physics
A fast level set method for propagating interfaces
Journal of Computational Physics
Journal of Computational Physics
SIAM Journal on Scientific Computing
Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
An r-adaptive finite element method based upon moving mesh PDEs
Journal of Computational Physics
The fast construction of extension velocities in level set methods
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
An iterative grid redistribution method for singular problems in multiple dimensions
Journal of Computational Physics
A virtual test facility for simulating the dynamic response of materials
Computing in Science and Engineering
A boundary condition capturing method for Poisson's equation on irregular domains
Journal of Computational Physics
A numerical method for two-phase flow consisting of separate compressible and incompressible regions
Journal of Computational Physics
Computations of compressible multifluids
Journal of Computational Physics
An efficient dynamically adaptive mesh for potentially singular solutions
Journal of Computational Physics
Moving mesh methods in multiple dimensions based on harmonic maps
Journal of Computational Physics
Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method
Journal of Computational Physics
Riemann-problem and level-set approaches for homentropic two-fluid flow computations
Journal of Computational Physics
Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
SIAM Journal on Numerical Analysis
A level set approach to Eulerian-Lagrangian coupling
Journal of Computational Physics
A pressure-invariant conservative Godunov-type method for barotropic two-fluid flows
Journal of Computational Physics
Journal of Computational Physics
Ghost fluid method for strong shock impacting on material interface
Journal of Computational Physics
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
Moving mesh methods with locally varying time steps
Journal of Computational Physics
Moving Mesh Finite Element Methods for the Incompressible Navier--Stokes Equations
SIAM Journal on Scientific Computing
The ghost fluid method for compressible gas-water simulation
Journal of Computational Physics
A Real Ghost Fluid Method for the Simulation of Multimedium Compressible Flow
SIAM Journal on Scientific Computing
Adaptive characteristics-based matching for compressible multifluid dynamics
Journal of Computational Physics
Advections with Significantly Reduced Dissipation and Diffusion
IEEE Transactions on Visualization and Computer Graphics
Implementation of WENO schemes in compressible multicomponent flow problems
Journal of Computational Physics
Journal of Computational Physics
The simulation of cavitating flows induced by underwater shock and free surface interaction
Applied Numerical Mathematics
An adaptive GRP scheme for compressible fluid flows
Journal of Computational Physics
Journal of Computational Physics
An algorithm using the finite volume element method and its splitting extrapolation
Journal of Computational and Applied Mathematics
Journal of Computational Physics
An Eulerian-Lagrangian moving immersed interface method for simulating burning solids
Journal of Computational Physics
Hi-index | 31.47 |
An adaptive ghost fluid finite volume method is developed for one- and two-dimensional compressible multi-medium flows in this work. It couples the real ghost fluid method (GFM) [C.W. Wang, T.G. Liu, B.C. Khoo, A real-ghost fluid method for the simulation of multi-medium compressible flow, SIAM J. Sci. Comput. 28 (2006) 278-302] and the adaptive moving mesh method [H.Z. Tang, T. Tang. Moving mesh methods for one- and two-dimensional hyperbolic conservation laws, SIAM J. Numer. Anal. 41 (2003) 487-515; H.Z. Tang, T. Tang, P.W. Zhang, An adaptive mesh redistribution method for non-linear Hamilton-Jacobi equations in two- and three-dimensions, J. Comput. Phys. 188 (2003) 543-572], and thus combines their advantages. This work shows that the local mesh clustering in the vicinity of the material interface can effectively reduce both numerical and conservative errors caused by the GFM around the material interface and other discontinuities. Besides the improvement of flow field resolution, the adaptive GFM also largely increases the computational efficiency. Several numerical experiments are conducted to demonstrate robustness and efficiency of the current method. They include several 1D and 2D gas-water flow problems, involving a large density gradient at the material interface and strong shock-interface interactions. The results show that our algorithm can capture the shock waves and the material interface accurately, and is stable and robust even for solutions with large density and pressure gradients.