Numerical solution of the incompressible Navier-Stokes equations with an upwind compact difference scheme

DOI<509::AID-FLD851>3.0.CO;2-E 10.1002/(SICI)1097-0363(19990715)30:5<509::AID-FLD851>3.0.CO;2-EzbMath0946.76062OpenAlexW2008511994MaRDI QIDQ4260164

Nobuyuki Taniguchi, T. Kobayashi, Yan-Wen Ma, De-Xun Fu

Publication date: 17 October 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0363(19990715)30:5<509::aid-fld851>3.0.co;2-e

zbMATH Keywords

preconditioningincompressible Navier-Stokes equationsthree-stage Runge-Kutta methodcell-centered meshfifth-order accurate upwind compact difference approximationfourth-order difference approximationsixth-order symmetrical compact difference approximationstaggered-mesh grid systemTaylor's vortex array

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items

High-order blended compact difference schemes for the 3D elliptic partial differential equation with mixed derivatives and variable coefficients, A higher order compact finite difference algorithm for solving the incompressible Navier-Stokes equations, A class of higher order compact schemes for the unsteady two-dimensional convection-diffusion equation with variable convection coefficients, A compact streamfunction-velocity scheme on nonuniform grids for the 2D steady incompressible Navier-Stokes equations, A transient higher order compact scheme for incompressible viscous flows on geometries beyond rectangular, High-order compact difference algorithm on half-staggered meshes for low Mach number flows, Resolution-optimised nonlinear scheme for secondary derivatives, A high-order compact difference algorithm for half-staggered grids for laminar and turbulent incompressible flows, An efficient compact difference scheme for solving the streamfunction formulation of the incompressible Navier-Stokes equations, A novel parallel computing strategy for compact difference schemes with consistent accuracy and dispersion, Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD, Numerical solutions of two-dimensional unsteady convection–diffusion problems using modified bi-cubicB-spline finite elements, High-resolution finite compact difference schemes for hyperbolic conservation laws, Study of a staggered fourth-order compact scheme for unsteady incompressible viscous flows

Cites Work

• Unnamed Item
• Unnamed Item
• Direct simulations of turbulent flow using finite-difference schemes
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Compact finite difference schemes with spectral-like resolution
• A high order accurate difference scheme for complex flow fields
• A second-order projection method for the incompressible Navier-Stokes equations
• Direct simulation of a turbulent boundary layer up to R_θ = 1410
• Turbulence statistics in fully developed channel flow at low Reynolds number