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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.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76T99 Multiphase and multicomponent flows
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References:

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