Low-speed modification for the genuinely multidimensional Harten, Lax, van Leer and Einfeldt scheme in curvilinear coordinates

DOI10.1007/s10915-021-01561-5zbMath1480.76081OpenAlexW3185005844MaRDI QIDQ2051073

Feng Qu, Di Sun, Jun-Qiang Bai

Publication date: 1 September 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01561-5

zbMATH Keywords

Euler equationsfinite volume discretizationturbulent flowNACA0012 airfoilGresho vortex problemlow-speed multidimensional Riemann solver MHLLELSseparated cylinder flow

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)

Uses Software

• RIEMANN
• Turbulence Modeling

Cites Work

• A simple two-dimensional extension of the HLL Riemann solver for hyperbolic systems of conservation laws
• Three dimensional HLL Riemann solver for conservation laws on structured meshes; application to Euler and magnetohydrodynamic flows
• Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes
• On the behavior of upwind schemes in the low Mach number limit. II: Godunov type schemes.
• High resolution schemes for genuinely two-dimensional HLLE Riemann solver
• A new Roe-type scheme for all speeds
• On the behaviour of upwind schemes in the low Mach number limit
• Mechanism of Roe-type schemes for all-speed flows and its application
• Improvement of the genuinely multidimensional ME-AUSMPW scheme for subsonic flows
• Self-similar structures based genuinely two-dimensional Riemann solvers in curvilinear coordinates
• A study of higher-order reconstruction methods for genuinely two-dimensional Riemann solver
• A new all-speed flux scheme for the Euler equations
• A new flux splitting scheme for the Euler equations. II: E-AUSMPWAS for all speeds
• A genuinely two-dimensional Riemann solver for compressible flows in curvilinear coordinates
• On a class of two-dimensional incomplete Riemann solvers
• Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
• A genuinely multidimensional convective pressure flux split Riemann solver for Euler equations
• A two-dimensional HLLC Riemann solver for conservation laws: application to Euler and magnetohydrodynamic flows
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• On the Behaviour of Upwind Schemes in the Low Mach Number Limit
• On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation
• Sound generation by a two-dimensional circular cylinder in a uniform flow

This page was built for publication: Low-speed modification for the genuinely multidimensional Harten, Lax, van Leer and Einfeldt scheme in curvilinear coordinates