A hybrid Padé ADI scheme of higher-order for convection–diffusion problems
✍ Scribed by Samir Karaa
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 210 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0271-2091
- DOI
- 10.1002/fld.2160
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does not apply either. Indeed it may well be that the deficiencies reported here do not appear in any important problem of purely recirculating flow, since such problems IRAD YAVNEH are ill-posed in the limit of vanishing viscosity unless the Department of Computer Science integral of the right-hand
## Abstract A class of higher order compact (HOC) schemes has been developed with weighted time discretization for the two‐dimensional unsteady convection–diffusion equation with variable convection coefficients. The schemes are second or lower order accurate in time depending on the choice of the
Galerkin and Petrov Galerkin linite element mellods are used to obtain new linite difference schemes for the solution of linear twodimensional convection difusion problems. Numerical estimates are made of the rates of convergence of these schemes, uniformly with respect to the perturbation parameter
This article is a continuation of the work [M. Feistauer et al., Num Methods PDEs 13 (1997), 163-190] devoted to the convergence analysis of an efficient numerical method for the solution of an initial-boundary value problem for a scalar nonlinear conservation law equation with a diffusion term. Non