A new combined stable and dispersion relation preserving compact scheme for non-periodic problems

DOI10.1016/j.jcp.2009.01.003zbMath1282.76142OpenAlexW2062763307MaRDI QIDQ1013189

J. Martínez

Publication date: 17 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.01.003

zbMATH Keywords

boundary layercombined compact difference schemeNavier-Stokes solutionlid-driven cavity problemDRP propertyStommel ocean modeluni-and bi-directional wave propagation

Mathematics Subject Classification ID

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

A CCD-ADI method for two-dimensional linear and nonlinear hyperbolic telegraph equations with variable coefficients, Combined compact difference method for solving the incompressible Navier-Stokes equations, Global spectral analysis for convection-diffusion-reaction equation in one and two-dimensions: effects of numerical anti-diffusion and dispersion, New hybrid compact schemes for structured irregular meshes using Birkhoff polynomial basis, High-order blended compact difference schemes for the 3D elliptic partial differential equation with mixed derivatives and variable coefficients, An explicit higher order difference scheme on a compact stencil for elliptic equations on curvilinear geometries, Combined compact difference scheme for the time fractional convection-diffusion equation with variable coefficients, Three-point combined compact difference schemes for time-fractional advection-diffusion equations with smooth solutions, An optimized dispersion-relation-preserving combined compact difference scheme to solve advection equations, A new alternating bi-diagonal compact scheme for non-uniform grids, Further improvement and analysis of CCD scheme: dissipation discretization and de-aliasing properties, An interpolation based finite difference method on non-uniform grid for solving Navier-Stokes equations, Diffusion in inhomogeneous flows: unique equilibrium state in an internal flow, Analysis and application of high order implicit Runge-Kutta schemes to collocated finite volume discretization of the incompressible Navier-Stokes equations, Spectral analysis of finite difference schemes for convection diffusion equation, Global spectral analysis of three-time level integration schemes: focusing phenomenon, Hybrid sixth order spatial discretization scheme for non-uniform Cartesian grids, Multiple Hopf bifurcations and flow dynamics inside a 2D singular lid driven cavity, Implicit-explicit-compact methods for advection diffusion reaction equations, Effects of numerical anti-diffusion in closed unsteady flows governed by two-dimensional Navier-Stokes equation, Error dynamics of diffusion equation: effects of numerical diffusion and dispersive diffusion, A new perspective of higher order compact nonuniform Padé approximation based finite difference scheme for solving incompressible flows directly on polar grids, Solution of linearized rotating shallow water equations by compact schemes with different grid-staggering strategies, Quantifying parameter ranges for high fidelity simulations for prescribed accuracy by Lax-Wendroff method, Global spectral analysis: review of numerical methods, A Blended Compact Difference (BCD) Method for Solving 3D Convection–Diffusion Problems with Variable Coefficients, A new compact difference scheme for second derivative in non-uniform grid expressed in self-adjoint form, Gas-kinetic scheme with discontinuous derivative for low speed flow computation, A Fifth-Order Combined Compact Difference Scheme for Stokes Flow on Polar Geometries, Compact mixed methods for convection/diffusion type problems, New explicit two-dimensional higher order filters, Universal instability modes in internal and external flows, Unique solvability of the CCD scheme for convection-diffusion equations with variable convection coefficients, Higher-order optimized hybrid Robert-Asselin type time filters, Joint Optimization of the Spatial and the Temporal Discretization Scheme for Accurate Computation of Acoustic Problems, Combined compact difference scheme for linear second-order partial differential equations with mixed derivative, Optimal time advancing dispersion relation preserving schemes, The standard upwind compact difference schemes for incompressible flow simulations, A new very high-order upwind directional multi-layer compact (DMLC) scheme for multi-dimensional flows, Dispersion relation preserving combined compact difference schemes for flow problems, New very high-order upwind multi-layer compact (MLC) schemes with spectral-like resolution for flow simulations, Implementation of a high-order combined compact difference scheme in problems of thermally driven convection and dynamo in rotating spherical shells

Cites Work

• High accuracy schemes for DNS and acoustics
• Dispersion-relation-preserving finite differene schemes for computational acoustics
• A fourth-order accurate compact scheme for the solution of steady Navier-Stokes equations on non-uniform grids
• Compact finite difference schemes with spectral-like resolution
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• A family of high order finite difference schemes with good spectral resolution
• A three-point combined compact difference scheme
• Analysis of central and upwind compact schemes.
• A new way for constructing high accuracy shock-capturing generalized compact difference schemes.
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Transition in a 2-D lid-driven cavity flow
• A modified equation for dispersive difference schemes
• Benchmark spectral results on the lid-driven cavity flow
• Error dynamics: Beyond von Neumann analysis
• A new family of high-order compact upwind difference schemes with good spectral resolution
• Symmetrized compact scheme for receptivity study of 2D transitional channel flow
• The 2D lid-driven cavity problem revisited
• Group Velocity in Finite Difference Schemes
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• A novel fully‐implicit finite volume method applied to the lid‐driven cavity problem—Part II: Linear stability analysis
• Comparison of High-Accuracy Finite-Difference Methods for Linear Wave Propagation
• On the Scope of the Method of Modified Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item