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Abstract

An alternative flow-oriented convection algorithm is presented which acts as a replacement for the first-order accurate UPWIND scheme in three-dimensional scalar transport. The scheme, formally titled SUCCA3D (skew upwind corner convection algorithm 3D), attempts to follow local streamlines, thus directly reducing the multi-dimensional false diffusion of the conserved scalar. In a standard benchmark test of pure convection across a three-dimensional cavity the SUCCA3D scheme was found to compare favourably with alternative schemes such as UPWIND and the higher-order QUICK scheme. The results highlight the potential of the SUCCA3D code for the reduction of three-dimensional false diffusion of a scalar variable in convection-dominated flows.

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References

Patankar

S. V.

Numerical heat transfer and fluid flow, 1980 (Hemisphere, New York).

Vahl

Davis G.

Mallinson

G. D.

False diffusion in numerical fluid mechanics. Report 1972/FMT/1, 1972, School of Mechanical and Industrial Engineering, University of New South Wales.

Patel

M. K.

Cross

Markatos

N. C.

An assessment of flow oriented schemes for reducing ‘false diffusion’. Int. J. Numer. Meth. Engng, 1988, 26, 2279–2304.

Spalding

D. B.

PHOENICS reference handbook. CHAM TR/100, December 1989.

Leschziner

M. A.

Practical evaluation of three finite difference schemes for the computation of steady-state recirculating flows. Computer Meth. Appl. Mechanics and Engng, 1980, 23, 293–312.

Patel

M. K.

Markatos

N. C.

Cross

Technical note—method of reducing false-diffusion errors in convection-diffusion

Problems. Appl. Math. Modelling, August 1985, 9, 302–306.

Leonard

B. P.

A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Computer Meth. Appl. Mechanics and Engng, 1979, 19, 59–98.

Raithby

G. D.

Skew-upstream differencing schemes for problems involving fluid flow. Computer Meth. Appl. Mechanics and Engng, 1976, 9, 151–156.

Carey

Scanlon

T. J.

Fraser

S. M.

SUCCA—an alternative scheme to reduce the effects of multidimensional false diffusion. Appl. Math. Modelling, May 1993, 17(5), 263–270.

10.

Carey

Scanlon

T. J.

Fraser

S. M.

The reduction of false diffusion in the simulation of vortex shedding. Proc. Instn Mech. Engrs Part C, 1992, 206(C6), 399–406.

11.

Scanlon

T. J.

Vortex shedding flowmeter pulsating flow CFD studies. PhD Thesis, University of Strathclyde, Glasgow, December 1992.

12.

Spalding

D. B.

Four lectures on the PHOENICS computer code. Report CFD/82/S, Imperial College, London, 1982.

SUCCA3D—An Alternative Scheme to Reduce False Diffusion in Three-Dimensional Flows

Abstract

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