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Caramana, E. J.; Rousculp, C. L.; Burton, D. E.

A compatible, energy and symmetry preserving Lagrangian hydrodynamics algorithm in three-dimensional Cartesian geometry. (English) Zbl 0961.76049

J. Comput. Phys. 157, No. 1, 89-119 (2000).
From the summary: We presents a numerical algorithm for solution of fluid dynamics problems with moderate to high speed flows in three dimensions. Cartesian geometry is chosen owing to the fact that in this coordinate system no curvature terms are present that break the conservation law structure of the fluid equations. Written in Lagrangian form, these equations are discretized utilizing compatible, control volume differencing with a staggered-grid placement of the spatial variables. An edge-centered artificial viscosity whose magnitude is regulated by local velocity gradients is used to capture shocks. The particular difficulty of exactly preserving one-dimensional spherical symmetry in three-dimensional geometry is solved. This problem has both practical and pedagogical significance. The algorithm is suitable for both structured and unstructured grids. Limitations that symmetry preservation imposes on the latter type of grids are delineated.

Cited in 1 Review
Cited in 44 Documents

MSC:

76M12 Finite volume methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)
76L05 Shock waves and blast waves in fluid mechanics

Keywords:

compatibility; Lagrangian hydrodynamics; shock wave simulation; Cartesian geometry; control volume differencing; staggered-grid placement; edge-centered artificial viscosity; one-dimensional spherical symmetry

Software:

TENSOR
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Full Text: DOI

References:

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