Radiation Hydrodynamics Test Problems with Linear Velocity Profiles

Hendon, Raymond C.¹  Ramsey, Scott D.¹ 

[1]Los Alamos National Laboratory

关键词: ACCURACY;    ALGORITHMS;    COMPRESSIBLE FLOW;    CONVERGENCE;    HEAT FLUX;    HYDRODYNAMICS;    LANL;    RADIATION TRANSPORT;    RADIATIONS;    SIMULATION;    VELOCITY;    VERIFICATION;   

DOI  :  10.2172/1049354
RP-ID  :  LA-UR-12-24268
PID  :  OSTI ID: 1049354
Others  :  TRN: US201218%%208

学科分类：数学（综合）

美国|英语

来源: SciTech Connect

【 摘 要 】

As an extension of the works of Coggeshall and Ramsey, a class of analytic solutions to the radiation hydrodynamics equations is derived for code verification purposes. These solutions are valid under assumptions including diffusive radiation transport, a polytropic gas equation of state, constant conductivity, separable flow velocity proportional to the curvilinear radial coordinate, and divergence-free heat flux. In accordance with these assumptions, the derived solution class is mathematically invariant with respect to the presence of radiative heat conduction, and thus represents a solution to the compressible flow (Euler) equations with or without conduction terms included. With this solution class, a quantitative code verification study (using spatial convergence rates) is performed for the cell-centered, finite volume, Eulerian compressible flow code xRAGE developed at Los Alamos National Laboratory. Simulation results show near second order spatial convergence in all physical variables when using the hydrodynamics solver only, consistent with that solver's underlying order of accuracy. However, contrary to the mathematical properties of the solution class, when heat conduction algorithms are enabled the calculation does not converge to the analytic solution.