Anzeige
Erschienen in:
1980 | OriginalPaper | Buchkapitel
A Class of Diagonally Dominant Implicit Schemes with Arbitrary Numerical Dissipation
verfasst von : Nimai Kumar Mitra, Martin Fiebig
Erschienen in: Proceedings of the Third GAMM — Conference on Numerical Methods in Fluid Mechanics
Verlag: Vieweg+Teubner Verlag
Enthalten in: Professional Book Archive
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
A class of implicit finite difference schemes are proposed for time dependent solution of an unsteady partial differential equation. These schemes are temporally inconsistent to the PDE, only in the steady state, the difference equations become consistent to the steady state differential equation. The coefficient matrix of difference equations is tridiagonal and always diagonally dominant. An important feature of these schemes is that arbitrary amount of numerical dissipation can be incorporated in difference equations by virtue of difference formulas. Calculations with nonlinear Burgers’ equation show fast convergence.