Nuclear Engineering ETDs

Publication Date

Summer 8-1-2023

Abstract

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.

Keywords

Radiation hydrodynamics, moving Eulerian mesh, radiative shock problems, inertial confinement fusion, implicit-explicit operator splitting

Document Type

Thesis

Language

English

Degree Name

Nuclear Engineering

Level of Degree

Masters

Department Name

Nuclear Engineering

First Committee Member (Chair)

Cassiano Endres De Oliveira

Second Committee Member

HyeongKae Park

Third Committee Member

Eric Lang

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