【摘要】 对多层渗流方程耦合系统动边值问题,提出适合并行计算的一类特征分数步差分格式,利用区域变换、变分形式、粗细网格配套、乘积型叁二次插值、差分算子乘积交换性、高阶差分算子的分解、先验估计的理论和技巧,得到收敛性的最佳阶l2误差估计.该方法已成功地应用到多层油资源运移聚集的资源评估生产实际中,得到了很好的数值模拟结果.更多还原

【Abstract】 For coupled system with moving boundary values of multilayer dynamics of fluids in porous media,a kind of characteristic finite difference fractional steps scheme applicable to parallel arithmetic were put forward.Some techniques,such as the change of regions,calculus of variations,piecewise threefold quadratic interpolation,multiplicative commutation rule of difference operators,decomposition of high order difference operators and prior estimates,were adopted.Optimal order estimates in l2 norm are derived to determine the error in the approximate solution.This method has already been applied to the numerical simulation of migration-accumulation of oil resources.更多还原