物质输移方程解的数值方法

A New Numerical Scheme for Scalar Transport

本文探讨了经典的物质对流反应汇方程的整体数值解,文内给出的数值格式能适应于求解对流和反应汇较强的物质输移问题,且有计算步长大的特点.

A new scheme is developed in this paper, which allows to give exactly the numerical solution of the one-dimensional equation of scalar transport by advection and reaction.The principle of the new numerical scheme is that the advection-reaction of the scalar are propagated at the same time along a characteristic curve and a time-interpolating polynomial of higher order is constructed at the foot of the characteristic curve so that the scheme is stable for the super-Cotirant condition.An error analysis and comparison with other methods demonstrate that the scheme developed here is more accurate than other methods, and is convenient to be operated practically.