【摘要】 本文在求解推移质溯源冲刷偏微分方程的基础上,着重讨论了此偏微分方程的差分计算模型,并将差分计算结果同理论计算结果进行了一些对比,从而证实了此差分模型的可用性.同时也将变步长与等步长对计算结果与计算时间的影响进行了较详细的比较. 鉴于理论计算对边界条件提出的种种限制,本文进行了一些举例计算,从而说明了由于边界条件的简化对计算结果所带来的影响,为控制冲刷提供了一种计算手段.更多还原

【Abstract】 A numerical model has been developed to calculate headward erosion. The governing equation is solved by an implicit finite-difference method with unequal step length. By comparison, results of the model show good agreements with those of analytical solutions. The difference between results with constant and variable step length is also discussed.Because the analytical solution could be obtained only with simplified boundary conditins, the numerical model is applied to some different boundary conditions, then the effect of the simplification is revealed.更多还原