Fine structures for the solutions of the two-dimensional Riemann problems by high-order WENO schemes

DOI10.1007/s10444-017-9538-8zbMath1387.76092OpenAlexW2608212057MaRDI QIDQ1696376

Thien Binh Nguyen, Chang-Yeol Jung

Publication date: 14 February 2018

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-017-9538-8

zbMATH Keywords

Euler equationsweighted essentially non-oscillatory (WENO) schemes2D Riemann problemshock-capturing methodsWENO-\(\theta\)

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (6)

Fifth-order Hermite targeted essentially non-oscillatory schemes for hyperbolic conservation laws ⋮ Kinetic theory based multi-level adaptive finite difference WENO schemes for compressible Euler equations ⋮ Solution property preserving reconstruction BVD+MOOD scheme for compressible Euler equations with source terms and detonations ⋮ Three pieces Riemann problem for 2‐D full Euler system in the Noble–Abel gas ⋮ A Targeted ENO Scheme as Implicit Model for Turbulent and Genuine Subgrid Scales ⋮ A new adaptation strategy for multi-resolution method

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