Geometric formulation of three-temperature radiation hydrodynamics
Authors
B. Tran, B. Southworth, J. Burby, M. Leok
Abstract
Three-temperature (3T) radiation hydrodynamics models high energy-density plasma of nonlinearly coupled electron, ion, and radiation fields, finding applications in astrophysics and inertial confinement fusion. We present a geometric formulation of three-temperature radiation hydrodynamics. This is done utilizing an irreverisble port-Hamiltonian framework in the entropy representation. This geometric formulation separates the advection, interaction, and diffusion processes occuring into separate operators and establishes the energy-preserving interconnections between them. Structural properties such as mass, momentum and energy conservation as well as entropy production arise naturally from the geometric formulation. As an application, we briefly discuss a framework for the energy control of the 3T system within the port-Hamiltonian framework.
Citation
- Journal: 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics
- Year: 2024
- Volume:
- Issue:
- Pages:
- Publisher: CIMNE
- DOI: 10.23967/wccm.2024.027
BibTeX
@inproceedings{Tran_2024,
series={WCCM 2024},
title={{Geometric formulation of three-temperature radiation hydrodynamics}},
DOI={10.23967/wccm.2024.027},
booktitle={{16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics}},
publisher={CIMNE},
author={Tran, B. and Southworth, B. and Burby, J. and Leok, M.},
year={2024},
collection={WCCM 2024}
}