38 citations · 69 across the 8 of their papers we have counts for
11 papers
Finite time implosions of the multidimensional compressible Euler equations with a finite far-field cutoff
Jack Luong, Reed Spitzer, Scott D. Ramsey +2
We study the problem of finite time singularities in the isentropic compressible Euler equations in multiple dimensions with radial symmetry. Our initial data consists of the radia…
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…
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…
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…
Extension of the Planar Noh Problem to Aluminum, Iron, Copper, and Tungsten
Chloe E. Yorke, April D. Howard, Sarah C. Burnett +3
The classic Noh verification test problem is extended beyond the traditional ideal gas and applied to shock compression of condensed matter. Using the stiff-gas equation of state (…
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…
Verification Studies for the Noh Problem using Non-ideal Equations of State and Finite Strength Shocks
Sarah C. Burnett, Kevin G. Honnell, Scott D. Ramsey +1
The Noh verification test problem is extended beyond the commonly studied ideal gamma-law gas to more realistic equations of state (EOSs) including the stiff gas, the Noble-Abel ga…