A treatment of discontinuities in shock-capturing finite difference methods
The author introduces a treatment to sharpen discontinuities to shock- capturing methods by means of a modification of the underlying scheme that makes the computation on each side of the discontinuity use information only from that side. Shock tracking ideas are involved in the treatment; however, no lower dimensional grid is needed to fit the discontinuity. Several numerical examples are presented in addition.
scientific article; zbMATH DE number 4180712