7 citations · 7 across the 1 of their papers we have counts for
5 papers
On the Symmetry of Blast Waves
R. S. Baty, S. D. Ramsey
This article presents a brief historical review of G. I. Taylor's solution of the point blast wave problem which was applied to the Trinity test of the first atomic bomb. Lie group…
Nemchinov-Dyson Solutions of the Two-Dimensional Axisymmetric Inviscid Compressible Flow Equations
Jesse F. Giron, Scott D. Ramsey, Roy S. Baty
We investigate the two-dimensional (D) inviscid compressible flow equations in axisymmetric coordinates, constrained by an ideal gas equation of state (EOS). Beginning with the…
Scale Invariance of the Homentropic Inviscid Euler Equations with Application to the Noh Problem
Jesse F. Giron, Scott D. Ramsey, Roy S. Baty
We investigate the inviscid compressible flow (Euler) equations constrained by an "isentropic" equation of state (EOS), whose functional form in pressure is an arbitrary function o…
Conditions for Translation and Scaling Invariance of the Neutron Diffusion Equation
Jesse F. Giron, Scott D. Ramsey, Brian A. Temple
Lie group methods are applied to the time-dependent, monoenergetic neutron diffusion equation in materials with spatial and time dependence. To accomplish this objective, the under…
On the existence of self-similar converging shocks for arbitrary equation of state
Zachary M. Boyd, Scott D. Ramsey, Roy S. Baty
We extend Guderley's problem of finding a self-similar scaling solution for a converging cylindrical or spherical shock wave from the ideal gas case to the case of flows with an ar…