On linearization and preconditioning for radiation diffusion coupled to material thermal conduction equations
- School of Mathematical Sciences, University of Science and Technology of China, Hefei 230052 (China)
- National Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100094 (China)
- Chinese Academy of Mathematics and Systems Science, Beijing 100190 (China)
- Graduate School of China Academy Engineering Physics, Beijing 100083 (China)
Jacobian-free Newton–Krylov (JFNK) method is an effective algorithm for solving large scale nonlinear equations. One of the most important advantages of JFNK method is that there is no necessity to form and store the Jacobian matrix of the nonlinear system when JFNK method is employed. However, an approximation of the Jacobian is needed for the purpose of preconditioning. In this paper, JFNK method is employed to solve a class of non-equilibrium radiation diffusion coupled to material thermal conduction equations, and two preconditioners are designed by linearizing the equations in two methods. Numerical results show that the two preconditioning methods can improve the convergence behavior and efficiency of JFNK method.
- OSTI ID:
- 22233566
- Journal Information:
- Journal of Computational Physics, Vol. 236; Other Information: Copyright (c) 2012 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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