Name
Title | ||
|---|---|---|
On choosing a nonlinear initial iterate for solving the 2-D 3-T heat conduction equations |
Abstract | ||
|---|---|---|
The 2-D 3-T heat conduction equations can be used to approximately describe the energy broadcast in materials and the energy swapping between electron and photon or ion. To solve the equations, a fully implicit finite volume scheme is often used as the discretization method. Because the energy diffusion and swapping coefficients have a strongly nonlinear dependence on the temperature, and some physical parameters are discontinuous across the interfaces between the materials, it is a challenge to solve the discretized nonlinear algebraic equations. Particularly, as time advances, the temperature varies so greatly in the front of energy that it is difficult to choose an effective initial iterate when the nonlinear algebraic equations are solved by an iterative method. In this paper, a method of choosing a nonlinear initial iterate is proposed for iterative solving this kind of nonlinear algebraic equations. Numerical results show the proposed initial iterate can improve the computational efficiency, and also the convergence behavior of the nonlinear iteration. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.jcp.2009.01.024 | Journal of Computational Physics |
Keywords | Field | DocType |
energy diffusion,discretization method,nonlinear equations,nonlinear initial iterate,energy broadcast,3-t heat conduction equations,effective initial iterate,iterative method,nonlinear algebraic equation,nonlinear iteration,discretized nonlinear algebraic equation,nonlinear dependence,initial iterate,2-d 3-t heat conduction,inexact newton method,heat conduction,nonlinear equation,iteration method | Discretization,Mathematical optimization,Nonlinear system,Iterative method,Mathematical analysis,Algebraic equation,Local convergence,Heat equation,Finite volume method,Mathematics,Newton's method | Journal |
Volume | Issue | ISSN |
228 | 9 | Journal of Computational Physics |
Citations | PageRank | References |
4 | 0.50 | 12 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hengbin An | 1 | 24 | 5.19 |
| Zeyao Mo | 2 | 73 | 19.48 |
| Xiao-Wen Xu | 3 | 4 | 0.50 |
| Xu Liu | 4 | 4 | 0.50 |