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A finite difference error arising from the use of a staggered grid. (English) Zbl 0834.76055
Summary: This paper contains a discussion of a numerical inaccuracy that may occur when a staggered finite difference grid is used to solve the finite differenced multiphase flow equations. A model problem is introduced which shows how the inaccuracy comes about. A simple correction to the scheme that cures the problem is presented.

76M20Finite difference methods (fluid mechanics)
76T99Two-phase and multiphase flows
Full Text: DOI
[1] Patankar, S. V.: Numerical heat transfer and fluid flow. (1980) · Zbl 0521.76003
[2] Spalding, D. B.: Numerical computation of multi-phase flow and heat transfer. Recent advances in numerical methods in fluids 1, 139-168 (1980)
[3] Thyagaraja, A.; Fletcher, D. F.: Buoyancy-driven, transient, two-dimensional thermo-hydrodynamics of a melt-water-steam mixture. Comput. fluids 16, 59-80 (1988) · Zbl 0638.76115
[4] Fletcher, D. F.: Large scale mixing calculations. Culham lab. Rept. no. CLM-R282, HMSO (1988)
[5] Burns, A. D.; Wilkes, N. S.: A finite difference method for the computation of fluid flows in a complex three dimensional geometries. Harwell lab. Rept. no. AERE-R12342 (1987)
[6] Lo, S. M.: Multiphase flow model in the harwell-FLOW3D computer code. AEA ind. Technol. rept. No. AEA-intec-0062 (1990)
[7] Rhie, C. M.; Chow, W. L.: Numerical study of the turbulent flow past an airfoil with trailing edge separation. Aiaa j. 21, 1525-1532 (1983) · Zbl 0528.76044