Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
This paper presents simplifications and improvements to the essentially nonoscillatory schemes for conservation laws developed in an earlier work by the same authors [ibid. 77, 439-471 (1988; Zbl 0653.65072)]. The method is applicable to systems of equations in several spatial dimensions. The simplifications involve the use of numerical fluxes instead of cell averages in the approximation of spatial derivatives. Better shock capturing methods are developed. Improved methods for sharpening contact discontinuities are also incorporated. The results of many computations are presented, and they are impressive.
scientific article; zbMATH DE number 4104302
scientific article