Similarity Solutions for Reactive Shock Hydrodynamics

Shock Wave Solutions for Radiation Hydrodynamics

This study describes a semi-analytic solution of planar radiative shock waves in which the radiation model is grey nonequilibrium diffusion. The solution may be used to verify radiation-hydrodynamics codes. Comparisons are made with the equilibrium diffusion solutions of Lowrie and Rauenzahn [1]. Although the physics of radiative shocks are fairly well known, previous solutions have been approx...

Title : Center for Radiative Shock Hydrodynamics

Local Adaptive Mesh Refinement for Shock Hydrodynamics

The aim of this work is the development of an automatic, adaptive mesh refinement strategy for solving hyperbolic conservation laws in two dimensions. There are two main difficulties in doing this. The first problem is due to the presence of discontinuities in the solution and the effect on them of discontinuities in the mesh. The second problem is how to organize the algorithm to minimize memo...

Shock profiles in radiative hydrodynamics

There exists a huge variety of models intended to describe, with more or less accuracy, radiative transfer phenomena. Of course these models are more or less complex, and retain more or less details of the physics. The choice of a model among the list is definitely application-dependent, driven by the leading phenomena in the considered situation, thus depending on the values of the physical pa...

Periodic Wave Shock solutions of Burgers equations

In this paper we investigate the exact peroidic wave shock solutions of the Burgers equations. Our purpose is to describe the asymptotic behavior of the solution in the cauchy problem for viscid equation with small parametr ε and to discuss in particular the case of periodic wave shock. We show that the solution of this problem approaches the shock type solution for the cauchy problem of the in...