Upwind compact finite difference schemes

DOI10.1016/0021-9991(85)90116-0zbMath0599.65063OpenAlexW2086916405MaRDI QIDQ1080632

I. Christie

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90116-0

zbMATH Keywords

numerical resultstest problemsupwindingcompact finite difference schemefourth order accuracy

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

On the computational efficiency of certain upwinding schemes, Nonoscillatory solution of the steady-state inviscid Burgers' equation by mathematical programming, The spatial resolution properties of composite compact finite differencing, On the solution of hyperbolic equations using the peridynamic differential operator, Structural schemes for one dimension stationary equations, Selecting upwind parameters for improved iterative performance, A new way for constructing high accuracy shock-capturing generalized compact difference schemes., Towards a general integration algorithm for time-dependent one- dimensional systems of parabolic partial differential equations using the method of lines, High-order finite-difference schemes for numerical simulation of hypersonic boundary-layer transition, On diffusive methods and exponentially fitted techniques, Modified high-order upwind method for convection diffusion equation

Cites Work

• Unnamed Item
• Unnamed Item
• An operator compact implicit method of exponential type
• Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
• The operator compact implicit method for parabolic equations
• Steady viscous flows by compact differences in boundary-fitted coordinates
• Finite element methods for second order differential equations with significant first derivatives
• On a quasi-linear parabolic equation occurring in aerodynamics