A Fully Second Order Implicit/Explicit Time Integration Technique for Hydrodynamics Plus Nonlinear Heat Conduction Problems
We present a second order non-linearly consistent implicit/explicit time integration tech¬nique for solving hydrodynamics coupled with nonlinear heat conduction problems. The idea is to hybridize an implicit and an explicit discretization in a nonlinearly consistent way in order to achieve second order time convergent calculations. In this scope, the hydrody¬namics equations are discretized explicitly making use of the capability of well-understood explicit schemes. On the other hand , the nonlinear heat conduction is solved implicitly. Such methods are often referred to as IMEX methods [2,1,3]. The Jacobian-Free Newton Krylov (JFNK) method (e.g, [10,9]) is applied to the problem in such a way as to render a nonlinearly iterated IMEX method. We solve three test problems in order to validate the nu-merical order of the scheme. For each test, we established second order time convergence. We support these numerical results with a Modi?ed Equation Analysis (MEA) [23,22]. The set of equations studied here constitute a base model for radiation hydrodynamics.
- Research Organization:
- Idaho National Lab. (INL), Idaho Falls, ID (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- DE-AC07-05ID14517
- OSTI ID:
- 977193
- Report Number(s):
- INL/JOU-09-16056; JCTPAH; TRN: US1002954
- Journal Information:
- Journal of Computational Physics, Vol. 229, Issue 9; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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