Hyperbolic advection-diffusion schemes for high-Reynolds-number boundary-layer problems

DOI10.1016/J.JCP.2017.09.039zbMath1375.76130OpenAlexW2760021720MaRDI QIDQ1683825

Hiroaki Nishikawa, Yi Liu

Publication date: 1 December 2017

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.09.039

zbMATH Keywords

finite volume methodshigh Reynolds numberimplicit solverhyperbolic diffusionmesh Reynolds number

Mathematics Subject Classification ID

Diffusion (76R50)

Related Items (7)

Hyperbolic cell-centered finite volume method for steady incompressible Navier-Stokes equations on unstructured grids ⋮ On hyperbolic method for diffusion with discontinuous coefficients ⋮ Dimensional scaling and numerical similarity in hyperbolic method for diffusion ⋮ On False Accuracy Verification of UMUSCL Scheme ⋮ Reconstructed discontinuous Galerkin methods for linear advection-diffusion equations based on first-order hyperbolic system ⋮ High-order upwind and non-oscillatory approach for steady state diffusion, advection-diffusion and application to magnetized electrons ⋮ Artificial compressibility approaches in flux reconstruction for incompressible viscous flow simulations

Uses Software

• USM3D

Cites Work

• Unnamed Item
• Unnamed Item
• First-, second-, and third-order finite-volume schemes for diffusion
• Robust and accurate viscous discretization via upwind scheme. I: Basic principle
• First, second, and third order finite-volume schemes for advection-diffusion
• Accuracy-preserving boundary flux quadrature for finite-volume discretization on unstructured grids
• Weak imposition of Dirichlet boundary conditions in fluid mechanics
• A first-order system approach for diffusion equation. II: Unification of advection and diffusion
• A study of finite difference approximations to steady state, convection- dominated flow problems
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Third-order active-flux scheme for advection diffusion: hyperbolic diffusion, boundary condition, and Newton solver
• Effects of high-frequency damping on iterative convergence of implicit viscous solver
• Order of accuracy of QUICK and related convection-diffusion schemes
• An efficient correction method to obtain a formally third-order accurate flow solver for node-centered unstructured grids
• A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes
• Advection-Diffusion-Reaction Equations: Hyperbolization and High-Order ADER Discretizations
• Characteristic‐based schemes for dispersive waves I. The method of characteristics for smooth solutions
• Methods for hyperbolic systems with stiff relaxation

This page was built for publication: Hyperbolic advection-diffusion schemes for high-Reynolds-number boundary-layer problems