An almost fail-safe a-posteriori limited high-order CAT scheme

Autor: Macca, E., Loubere, R., Pares, C., Russo, G.
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper we blend the high order Compact Approximate Taylor (CAT) numerical schemes with an a-posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm to solve hyperbolic systems of conservation laws in 2D. The resulting scheme presents high accuracy on smooth solutions, essentially non-oscillatory behavior on irregular ones, and, almost fail-safe property concerning positivity issues. The numerical results on a set of sanity test cases and demanding ones are presented assessing the appropriate behavior of the CAT-MOOD scheme.
Databáze: arXiv