Front tracking for gas dynamics
Journal of Computational Physics
AZTEC: a front tracking code based on Godunov's method
Applied Numerical Mathematics - Special issue in honor of Milt Rose's sixtieth birthday
A moving mesh numerical method for hyperbolic conservation laws
Mathematics of Computation
The bifurcation of tracked scalar waves
SIAM Journal on Scientific and Statistical Computing - Telecommunication Programs at U.S. Universities
Defect correction and multigrid for an efficient and accurate computation of airfoil flows
Journal of Computational Physics
Front tracking applied to a nonstrictly hyperbolic system of conservation laws
SIAM Journal on Scientific and Statistical Computing
Applications of front tracking to the simulation of shock refractions and unstable mixing
Proceedings of the third ARO workshop on Adaptive methods for partial differential equations
Three-Dimensional Front Tracking
SIAM Journal on Scientific Computing
An unconditionally stable method for the Euler equations
Journal of Computational Physics
Second order front tracking for the Euler equations
Journal of Computational Physics
Journal of Computational Physics
Simplex stochastic collocation with ENO-type stencil selection for robust uncertainty quantification
Journal of Computational Physics
Connectivity-free front tracking method for multiphase flows with free surfaces
Journal of Computational Physics
Hi-index | 31.47 |
An improved front tracking method for hyperbolic conservation laws is presented. The improved method accurately resolves discontinuities as well as continuous phenomena. The method is based on an improved front interaction model for a physically more accurate modeling of the Euler equations, as compared to standard front tracking methods. The resulting algorithm is also more efficient than existing front tracking methods. The improved front tracking method is applied to the Euler equations for one-dimensional unsteady flow and two-dimensional steady supersonic flow. The results are compared to results of a standard front tracking method and a finite volume method.