This research is focused on the development of a microstructural model for phase transformation kinetics in shockwaves. It is assumed that the Hugoniot state lies in the region of metastability around an equilibrium solid-solidphase boundary, hence this model applies to transformations occurring through nucleation and growth. The modelaccounts for both homogeneous (thermally dri...

The motivation for this research stems from the high-speed chemical reacting flows which have stiff reaction terms, where the chemical time scales are often much smaller than the fluid dynamics time scales. It is usually too expensive to resolve all the spatial/temporal scales if we are only interested in the main flow. On the other hand, insufficient spatial/temporal resolution will cause the ...

We propose a two-dimensional problem involving fluid-solid coupling where a solution is given in closed form. The upper half of the domain is modeled as an isotropic solid; the lower part as a compressible gas. The loading of the solid at the fluid-solid boundary is called superseismic when its speed is larger than the speed of propagation of disturbances in the bulk of the material. The loadin...

Shock states are defined by stereotypic changes in well-known physiologic parameters. While these well-known changes provide a convenient entry point into further evaluation of patients in shock or at risk for shock, use of such physiologic evaluation is not commonly seen in clinical medicine. A formal description of physiologic reasoning in the diagnosis of shock states is presented in this pa...

On October 16, 2001, Voyager 2 at ∼65 AU observed a strong shock with a speed jump of over 100 km s−1, the strongest shock observed since 1991. However, unlike for many large shocks observed in the outer heliosphere, we could not find a single solar event which is directly linked to this shock. Instead, a series of solar events in April 2001 is found to be responsible. A multi-fluid one-dimensi...

The probability that a particle, crossing the shock along a given direction, be reflected backwards along another direction, was shown to be the key element in determining the spectrum of non–thermal particles accelerated via the Fermi mechanism around a plane–parallel shock in the test–particle limit. Here an explicit equation for this probability distribution is given, for both the upstream a...

When shock speed s times ∆t/∆x is rational, the existence of solutions of shock profile equations on bounded intervals for monotonicity preserving schemes with continuous numerical flux is proved. A sufficient condition under which the above solutions can be extended to −∞ < j < ∞, implying the existence of discrete shock profiles of numerical schemes, is provided. A class of monotonicity prese...