✍ Scribed by A. Bürgel; T. Sonar
No coin nor oath required. For personal study only.
In the framework of finite volume approximations to the Euler equations of gas dynamics we introduce computationally cheap difference schemes in addition with efficient discrete filter operators correcting discrete values locally. After presentation of a classical discrete filter algorithm we describe for the first time the implementation of a TV filter, originally developed in signal and image processing, in the context of hyperbolic conservation laws on unstructured grids. Copyright © 2002 John Wiley & Sons, Ltd.
📜 SIMILAR VOLUMES
The proof of Theorem 4.1 requires correction. The theorem is correct as stated, and the basic method of proof is valid. Only the method for making det A' negative is erroneous. Before giving the details, we make several general comments. The linear transformation (in particular valid for weak solu
The high speed flow of complex materials can often be modeled by the compressible Euler equations coupled to (possibly many) additional advection equations. Traditionally, good computational results have been obtained by writing these systems in fully conservative form and applying the general metho
We consider a nonlinear system of conservation laws, which is strictly hyperbolic, genuinely nonlinear in the large, equipped with a convex entropy function and global Riemann invariants. Nevertheless, for such a system of dimension five, it is shown that uniqueness of the similarity solution of a R