Upwind Hybrid Spectral Difference Methods for Steady-State Navier–Stokes Equations

DOI10.1007/978-3-319-72456-0_28zbMath1407.65249OpenAlexW2804553569MaRDI QIDQ4611821

Dongwoo Sheen, Youngmok Jeon

Publication date: 22 January 2019

Published in: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-72456-0_28

zbMATH Keywords

steady-state Navier-Stokes equationsinterface finite difference approximatesupwind hybrid spectral difference methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (7)

Hybrid spectral difference methods for elliptic equations on exterior domains with the discrete radial absorbing boundary condition ⋮ The upwind hybrid difference methods for a convection diffusion equation ⋮ Numerical analysis of interface hybrid difference methods for elliptic interface equations ⋮ The Crank-Nicolson hybrid difference method for the time wave equation on exterior domains with the discrete radial absorbing boundary condition ⋮ Hybrid spectral difference methods for an elliptic equation ⋮ Immersed hybrid difference methods for elliptic boundary value problems by artificial interface conditions ⋮ The Immersed Interface Hybridized Difference Method for Parabolic Interface Problems

Cites Work

• High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
• A stable high-order spectral difference method for hyperbolic conservation laws on triangular elements
• Hybrid difference methods for PDEs
• Hybrid spectral difference methods for an elliptic equation
• On the stability and accuracy of the spectral difference method
• A stragety for the efficient simulation of viscous compressible flows using a multi-domain pseudospectral method
• Stationary Stokes, Oseen and Navier-Stokes equations with singular data
• Existence and regularity of very weak solutions of the stationary Navier-Stokes equations
• A staggered-grid multidomain spectral method for the compressible Navier-Stokes equations
• The upwind hybrid difference methods for a convection diffusion equation
• A conservative staggered-grid Chebyshev multidomain method for compressible flows. II: A semi-structured method
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• A conservative staggered-grid Chebyshev multidomain method for compressible flows
• New locally conservative finite element methods on a rectangular mesh
• Spectral difference method for unstructured grids. I. Basic formulation
• Spectral difference method for unstructured grids. II. Extension to the Euler equations
• Computational Methods for Fluid Dynamics
• Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
• Numerical study of the turbulent flow past an airfoil with trailing edge separation
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• Finite Element Methods for Navier-Stokes Equations
• A collocation method over staggered grids for the Stokes problem
• Finite Volume Methods for Hyperbolic Problems
• Mixed Finite Element Methods and Applications
• Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers
• Nonconforming Finite Element Method Applied to the Driven Cavity Problem

This page was built for publication: Upwind Hybrid Spectral Difference Methods for Steady-State Navier–Stokes Equations