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Momentum advection on a staggered mesh. (English) Zbl 0758.76038
This paper reviews three momentum advection methods and proposes a new one. One method, pioneered in YAQUI, creates a new staggered mesh, while the other two, used in SALE and SHALE, are cell-centered. The new method is cell-centered, and its relationship to the other methods is discussed. Both pure advection and strong shock calculations are presented to substantiate the mathematical analysis. From the standpoint of numerical accuracy, both the staggered mesh and the cell-centered algorithms can give good results, while the computational costs are highly dependent on the overall architecture of a code.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76M10 Finite element methods applied to problems in fluid mechanics
76R99 Diffusion and convection
Software:
YAQUI
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References:
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