38 citations · 57 across the 6 of their papers we have counts for
7 papers
Self-similar imploding solutions of the 1D compressible Euler equations with a far field cutoff
Jack Luong, Scott Ramsey, Andrea L. Bertozzi +1
Imploding solutions to the radially symmetric, isentropic, compressible Euler equations have been well-studied, inspired by the work of Guderley. However, these smooth imploding so…
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…
Converging Shock Flows for a Mie-Grüneisen Equation of State
Scott D. Ramsey, Emma M. Schmidt, Zachary M. Boyd +2
Previous work has shown that the one-dimensional (1D) inviscid compressible flow (Euler) equations admit a wide variety of scale-invariant solutions (including the famous Noh, Sedo…
Collapsing cavities and converging shocks in non-ideal materials
Zachary M. Boyd, Emma M. Schmidt, Scott D. Ramsey +1
As modern hydrodynamic codes increase in sophistication, the availability of realistic test problems becomes increasingly important. In gas dynamics, one common unrealistic aspect…
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…