基于特征线理论的算子分裂算法综述

Overview for the Characteristic Based Split Algorithm

文中论述了基于特征线理论的算子分裂算法的研究进展,从偏微分方程特征线理论及算子分裂算法出发,构建了其理论框架.对于CBS算法的基本方程,文中给出了推导过程,并编制了相应的三维计算程序,通过数值算例进一步验证了这一算法的有效性和准确性.

The development and basic theory of Characteristic based split （CBS） algorithm are introduced in this paper. Based on the characteristic and Operator - Splitting method in partial differential equation theory, the theory frame of CBS algorithm is constructed. The relative formulation used in CBS algorithm is derived in detail and a numerical example is given to further prove the accuracy and efficiency of CBS algorithm.