On front-tracking methods applied to hyperbolic systems of nonlinear conservation laws
SIAM Journal on Numerical Analysis
Simplified second-order Godunov-type methods
SIAM Journal on Scientific and Statistical Computing
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
ENO schemes with subcell resolution
Journal of Computational Physics
An artificial compression method for ENO schemes: the slope modification method
Journal of Computational Physics
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This paper describes a method for tracking contact discontinuities and material interfaces that arise in the solution of hyperbolic systems of conservation laws. Numerical results are presented to show that the fronts are resolved to within a mesh interval and smooth portions of the solution are computed to within the accuracy of the underlying numerical scheme.