Testing codes used to solve the radiation-hydrodynamics equations requires the use of radiative shock problems. These problems contain stiff shocks and test the coupling of the material motion and the energy exchange between the radiation and material. However, these problems are difficult to solve due to large differences in time scale between radiation and material equations, resolving shocks, and modeling radiation and material interactions. This thesis will look to solve radiative shock problems in 1-D using the Eulerian formulation on fixed and moving meshes. The moving mesh method proposed takes advantage of the more simple Eulerian formulation of the radiation hydrodynamics equations and the ability to handle large deformations, while also benefiting from the Lagrangian frame regarding shock resolution and material interfaces. The methods are compared using a Sod shock tube problem to test the hydrodynamics, Marshak wave to test the radiative solver, and 3 radiative shock problems. The radiative shock problems will be two stationary shocks with Mach numbers of 1.2 and 3.0, and one moving shock with a Mach number of 1.2.
Radiation hydrodynamics, moving Eulerian mesh, radiative shock problems, inertial confinement fusion, implicit-explicit operator splitting
Level of Degree
First Committee Member (Chair)
Cassiano Endres De Oliveira
Second Committee Member
Third Committee Member
Weatherred, Dylan. "A Comparison of Fixed Versus Moving Eulerian Meshes for 1-D Radiative Shock Problems." (2023). https://digitalrepository.unm.edu/ne_etds/117