Search Results - "Whalen, P.P."

The Construction of Compatible Hydrodynamics Algorithms Utilizing Conservation of Total Energy by Caramana, E.J., Burton, D.E., Shashkov, M.J., Whalen, P.P.

“…The principal goal of all numerical algorithms is to represent as faithfully and accurately as possible the underlying continuum equations to which a numerical…”
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Formulations of Artificial Viscosity for Multi-dimensional Shock Wave Computations by Caramana, E.J., Shashkov, M.J., Whalen, P.P.

“…In this paper we present a new formulation of the artificial viscosity concept. Physical arguments for the origins of this term are given and a set of criteria…”
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The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics by Bauer, A.L., Burton, D.E., Caramana, E.J., Loubère, R., Shashkov, M.J., Whalen, P.P.

“…This work explores the somewhat subtle meaning and consequences of the salient properties of the discrete, compatible formulation of Lagrangian hydrodynamics…”
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Numerical Preservation of Symmetry Properties of Continuum Problems by Caramana, E.J., Whalen, P.P.

“…We investigate the problem of perfectly preserving a symmetry associated naturally with one coordinate system when calculated in a different coordinate system…”
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Algebraic Limitations on Two-Dimensional Hydrodynamics Simulations by Whalen, Paul P.

“…Algebraic limitations imposed by the use of connected straightline segments to define meshes for hydrodynamics simulations in two-dimensional cylindrical…”
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