含源项非定常非线性对流扩散方程的三次样条四阶差分格式  

3-Spline Difference of Four Order Accuracy for Unsteady Nonlinear Convection-Diffusion Equation with Source Term

作　　者：林建国[1] 许维德[2] 陶尧森[1] 

机构地区：[1]上海交通大学船舶及海洋工程系,上海200030 [2]华南理工大学海洋工程系,广州510641

出　　处：《水动力学研究与进展（A辑）》1994年第5期599-602,共4页Chinese Journal of Hydrodynamics

摘　　要：本文提出一种新的求解含源项,非定常、非线性对流扩散方程的数值方法。首先,将方程在网格域内线性化,再利用变换将对流扩散方程转化为扩散方程,结合具有四阶精度的三次样条公式,最终将方程离散为二层三节点的无条件稳定差分格式,其推导过程简便,精度为时间二阶,空间四阶。A new method is presented in this paper for solving unsteady nonlinear convection-diffusion equation with the source term. First, the equation i linearized in the small domain discreted then, a functional transformation is introduced and the convecnon-diffusion equation is trans fered to the diffusion equation. By utilizing the 3-spline difference formula of the four order accuracy, we finally obtain a non-condition stabe difference scheme which has high accuracy of two order in i wae and four order in space.

关 键 词：非线性 非定常 对流扩散方程 样条差分 水力学 

分 类 号：TV131.4[水利工程—水力学及河流动力学]