由于二维三温热传导方程具有很强的非线性特性,因此采用全隐格式对该方程离散后,所得非线性代数方程组的求解将变得非常困难.针对二维三温热传导方程离散所得非线性代数方程组的迭代求解,提出了一种有效的选取初值的方法.对两种不同性质的介质进行数值实验,结果表明,所设计的初值选取方法不仅大大提高了计算效率,而且能够降低非线性解法器对时间步长的影响.
As 2-D 3-T heat conduct equations are discretized in a fully implicit method, it is very difficult to solve the nonlinear algebraic equations obtained due to strong nonlinearity. Efficient initial guesses for iterative solutions of discretized nonlinear algebraic equations are presented. Numerical results for two media with different properties show that the proposed initial guesses improve computational efficiency and reduce the influence of nonlinear solver on the time step as well.