Playing with nonuniform grids

DOI10.1007/BF00043231zbMath0747.76073OpenAlexW2031589793MaRDI QIDQ1189845

K. Rinzema, Arthur E. P. Veldman

Publication date: 27 September 1992

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00043231

zbMATH Keywords

convection-diffusion equationiterative solutionlocal truncation errordiscrete coefficient matrix

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Diffusion and convection (76R99)

Related Items (21)

Symmetry-preserving discretization of turbulent flow. ⋮ Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations ⋮ A high-order low-dispersion symmetry-preserving finite-volume method for compressible flow on curvilinear grids ⋮ Symmetry-preserving discretization of Navier-Stokes equations on collocated unstructured grids ⋮ An Eulerian Vlasov-Fokker-Planck algorithm for spherical implosion simulations of inertial confinement fusion capsules ⋮ A family of energy stable, skew-symmetric finite difference schemes on collocated grids. A simple way to avoid odd-even decoupling ⋮ Sixth-Order Adaptive Non-uniform Grids for Singularly Perturbed Boundary Value Problems ⋮ Higher order nonuniform grids for singularly perturbed convection-diffusion-reaction problems ⋮ Mass, momentum and energy conserving (MaMEC) discretizations on general grids for the compressible Euler and shallow water equations ⋮ Perpetual American Put Option: an Error Estimator for Non-Standard Finite Difference Scheme ⋮ High order finite difference schemes on non-uniform meshes with good conservation properties ⋮ A phenomenon of artificial odd-even grid oscillation and its presence in domain decomposition computation: algebraic analysis and numerical illustration ⋮ Symmetry-preserving upwind discretization of convection on non-uniform grids ⋮ Supraconservative Finite-Volume Methods for the Euler Equations of Subsonic Compressible Flow ⋮ Analysis of stability and accuracy of finite-difference schemes on a skewed mesh ⋮ Kinetic energy conservation issues associated with the collocated mesh scheme for incompressible flow ⋮ Stability of central finite difference schemes on non-uniform grids for the Black-Scholes equation ⋮ Adaptivity with moving grids ⋮ Explicit multi-time stepping methods for convection-dominated flow problems ⋮ High-order fluxes for conservative skew-symmetric-like schemes in structured meshes: Application to compressible flows ⋮ First-order accurate finite difference schemes for boundary vorticity approximations in curvilinear geometries

Uses Software

• ISNaS

Cites Work

• Unnamed Item
• Grid adaptive algorithms for the solution of the Euler equations on irregular grids
• Errors in the use of nonuniform mesh systems
• On the use of nonuniform grids in finite-difference equations
• The numerical solution of second-order boundary value problems on nonuniform meshes
• A Multiple-Grid Scheme for Solving the Euler Equations
• The ISNaS incompressible Navier-Stokes solver: invariant discretization

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