A conservative interface method for compressible flows
Journal of Computational Physics
A Conservative Front Tracking Method in N-Dimensions
Journal of Scientific Computing
Journal of Computational Physics
Numerical prediction of interfacial instabilities: Sharp interface method (SIM)
Journal of Computational Physics
A grid-alignment finite element technique for incompressible multicomponent flows
Journal of Computational Physics
Remapping-free ALE-type kinetic method for flow computations
Journal of Computational Physics
An interface capturing method for the simulation of multi-phase compressible flows
Journal of Computational Physics
Journal of Computational Physics
Space-time discontinuous Galerkin finite element method for two-fluid flows
Journal of Computational Physics
A Second-Order Accurate Conservative Front-Tracking Method in One Dimension
SIAM Journal on Scientific Computing
Journal of Computational Physics
Towards front-tracking based on conservation in two space dimensions III, tracking interfaces
Journal of Computational Physics
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We propose a fully conservative front tracking algorithm for systems of nonlinear conservation laws. The algorithm improves by one order in its convergence rate over most finite difference schemes. Near tracked discontinuities in the solution, the proposed algorithm has ${\mathcal O}(\Delta x)$ errors, improving over ${\mathcal O}(1)$ errors commonly found near a discontinuity. Numerical experiments which confirm these assertions are presented.