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A stable fast marching scheme for computational fluid mechanics
Author(s) -
Behnia M.,
Wolfshtein M.,
De Vahl Davis G.
Publication year - 1990
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650100602
Subject(s) - convergence (economics) , partial differential equation , scheme (mathematics) , mathematics , stability (learning theory) , computational fluid dynamics , mathematical analysis , mechanics , computer science , physics , machine learning , economics , economic growth
A stable fast marching scheme has been developed for the solution of coupled parabolic partial differential equations such as the Navier–Stokes equations. The scheme was developed with the aid of a stability analysis. The implementation of the method in standard alternating direction implicit algorithms is straightforward. The scheme was tested on the problem of natural convection in a square cavity. The number of iterations required for convergence was significantly reduced compared to conventional methods.

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