Stability analysis of finite difference schemes for two‐dimensional advection‐diffusion problems

DOI10.1002/fld.1650130504zbMath0742.76083OpenAlexW2166872497MaRDI QIDQ3988315

Alain Rigal

Publication date: 28 June 1992

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.1650130504

zbMATH Keywords

stability analysisartificial viscosityFourier analysisdifference schemes2D linear diffusion-convectionMFTCS scheme

Mathematics Subject Classification ID

Diffusion (76R50) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

Fourier analysis of several finite difference schemes for the one-dimensional unsteady convection-diffusion equation

Cites Work

• Analytical, linear stability criteria for the leap-frog, DuFort-Frankel method
• The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation
• On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type