A stable fast marching scheme for computational fluid mechanics

M. Behnia; M. Wolfshtein; G. De Vahl Davis

doi:10.1002/fld.1650100602

A stable fast marching scheme for computational fluid mechanics

M. Behnia^*, M. Wolfshtein, G. De Vahl Davis

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	607-621
Number of pages	15
Journal	International Journal for Numerical Methods in Fluids
Volume	10
Issue number	6
DOIs	https://doi.org/10.1002/fld.1650100602
Publication status	Published - 1990
Externally published	Yes

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title = "A stable fast marching scheme for computational fluid mechanics",

abstract = "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.",

author = "M. Behnia and M. Wolfshtein and {De Vahl Davis}, G.",

year = "1990",

doi = "10.1002/fld.1650100602",

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T1 - A stable fast marching scheme for computational fluid mechanics

AU - Behnia, M.

AU - Wolfshtein, M.

AU - De Vahl Davis, G.

PY - 1990

Y1 - 1990

N2 - 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.

AB - 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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U2 - 10.1002/fld.1650100602

DO - 10.1002/fld.1650100602

M3 - Article

AN - SCOPUS:0025199304

SN - 0271-2091

VL - 10

SP - 607

EP - 621

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 6

ER -

A stable fast marching scheme for computational fluid mechanics

Abstract

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