Mathematical models and numerical methods for radiation hydrodynamics

Autor*innen

• Mohammed Seai͏̈d

Parameter

• Lehrbücher
• Universitätslehrbücher

Mehr zum Buch

This work presents mathematical models and numerical methods for radiation hydrodynamics, covering compressible Euler to incompressible Navier-Stokes problems for hydrodynamics, along with radiative heat transfer and simplified PN-approximations for radiation. The coupling between hydrodynamic flow and radiative signals is approached through asymptotic analysis and the entropy principle. Both methods are examined through two and three-dimensional experiments, focusing on their mathematical and physical features. To create accurate and efficient solvers, two classes of numerical procedures are proposed. The first class includes high-order relaxation schemes for hydrodynamic equations, leveraging the semilinear structure of relaxation systems to avoid Riemann solvers or nonlinear iterations. Key techniques involve a third-order non-oscillatory spatial reconstruction and a TVD implicit-explicit time integration. The effectiveness of these methods is demonstrated through various benchmark tests in computational fluid dynamics. The second class addresses efficient solvers for radiative heat transfer, proposing multilevel algorithms for radiative transfer and heat conduction on the same mesh hierarchy. The Atkinson-Brakhage approximate inverse serves as a smoother, while a Newton-Krylov method tackles coarse problems. Robustness and effectiveness are validated with several test cases on grey and frequency-coupled media, alongside co

• Sprache: Englisch
• Erscheinungsdatum: 2004
• Einband: Paperback