โ Scribed by Gregory Hale Miller; Elbridge Gerry Puckett
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extensively to compute unsteady shock reflections in gases and has a demonstrated ability to resolve complex wave
We present a numerical algorithm for computing strong shock waves in problems involving multiple condensed phases. This interactions in excellent agreement with experiment [20].
method is based on a conservative high-order Godunov method in Our approach to modeling cells that contain more than Eulerian form, similar to those that have been used extensively for one material species is based on an algorithm for modeling gas dynamics computations, with an underlying thermodynamic two or more gases that is due to Colella, Glaz, and Ferguson model based on the Mie-Gru ยจneisen equation of state together with (CGF) [15]. In their algorithm the interface between each a linear Hugoniot. This thermodynamic model is appropriate for a wide variety of nonporous condensed phases. We model multiple fluid is tracked with a volume-of-fluid interface tracking phases by constructing an effective single phase in which the denalgorithm and the equations of motion for a single phase sity, specific energy, and elastic properties are given by self-consisare supplemented with evolution equations for the volume tent averages of the individual phase properties, including their fraction, total energy, and mass density of each phase in relative abundances. We use a second-order volume-of-fluid interthe multifluid cells. The resulting system of conservation face reconstruction algorithm to decompose the effective singlephase fluxes back into the appropriate individual component phase laws is of hyperbolic type and thus can be solved using a quantities. We have coupled a two-dimensional operator-split verstraightforward extension of the second-order Godunov sion of this method to an adaptive mesh refinement algorithm and method for a single gas phase. The CGF formulation acused it to model problems that arise in experimental shock wave counts for the thermodynamic properties of each phase geophysics. Computations from this work are presented. แฎ 1996 separately, while modeling the pressure and velocity in all Academic Press, Inc. cells, including those that contain more than one phase, as single-valued quantities. In particular, given a single
๐ SIMILAR VOLUMES
We present an explicit second-order-accurate Godunov finite difference method for the solution of the equations of solid mechanics in one, two, and three spatial dimensions. The solid mechanics equations are solved in nonconservation form, with the novel application of a diffusion-like correction to