共查询到16条相似文献,搜索用时 359 毫秒
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对三维多层非线性渗流方程耦合系统提出适合并行计算的二阶迎风分数步差分格式, 利用变分形式、能量方法、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的l2误差估计. 该方法已成功地应用到油资源运移聚集数值模拟的生产实际中. 相似文献
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对多层非线性渗流方程耦合系统三维动边值问题, 提出适合并行计算的一类二阶迎风分数步差分格式, 利用区域变换、变分形式、能量方法、隐显格式的相互结合、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. 相似文献
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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两类迎风差分格式,利用区域变换、变分形式、能量方法、隐显格式的相互结合、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l~2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. 相似文献
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对多层渗流方程组合系统提出适合并行计算的二阶和一阶两类迎风分数步长差分格式,利用变分形式、能量方法、二维和三维格式的配套、隐显格式的相互结合、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,对二阶格式得到收敛性的最佳阶的L2误差估计. 对一阶格式亦得到收敛性的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评估生产实际中,得到了很好的数值模拟结果. 相似文献
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对可压缩二相渗流驱动问题提出分数步长特征差分格式 ,利用变分形式、能量方法、粗细网格配套、双二次插值、差分算子乘积交替性、高阶差分算子的分解、先验估计的理论和技巧 ,得到最佳阶l2 误差估计 .该方法已成功应用到油资源评估和强化采油数值模拟的生产实际中 相似文献
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本文首先利用由两组具有局部最小支集的样条所组成的基函数,构造非均匀2 型三角剖分上二元三次样条空间S31,2(Δmn(2))的若干样条拟插值算子. 这些变差缩减算子由样条函数Bij1支集上5 个网格点或中心和样条函数Bij2支集上5 个网格点处函数值定义. 这些样条拟插值算子具有较好的逼近性,甚至算子Vmn(f) 能保持近最优的三次多项式性. 然后利用连续模,分析样条拟插值算子Vmn(f)一致逼近于充分光滑的实函数. 最后推导误差估计. 相似文献
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Yirang Yuan 《Numerical Methods for Partial Differential Equations》2003,19(5):665-681
For the coupled system of multilayer fluid dynamics in porous media, the modified characteristic finite difference fractional steps method applicable to parallel arithmetic is put forward and two‐dimensional and three‐dimensional schemes are used to form a complete set. Some techniques, such as calculus of variations, energy method, piecewise biquadratic interpolation, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates are 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 multilayer fluid dynamics in porous media. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 19: 665–681, 2003. 相似文献
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The upwind finite difference fractional steps method for combinatorial system of dynamics of fluids in porous media and its application 总被引:4,自引:0,他引:4
袁益让 《中国科学A辑(英文版)》2002,45(5):578-593
For combinatorial system of multilayer dynamics of fluids in porous media, the second order and first order upwind finite
difference fractional steps schemes applicable to parallel arithmetic are put forward and two-dimensional and three-dimensional
schemes are used to form a complete set. Some techniques, such as implicit-explicit difference scheme, calculus of variations,
multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates,
are adopted. Optimal order estimates in L
2 norm are derived to determine the error in the second order approximate solution. This method has already been applied to
the numerical simulation of migration-accumulation of oil resources. Keywords: combinatorial system, multilayer dynamics of
fluids in porous media, two-class upwind finite difference fractional steps method, convergence, numerical simulation of energy
sources. 相似文献
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The finite difference method for the three-dimensional nonlinear coupled system of dynamics of fluids in porous media 总被引:2,自引:0,他引:2
YUAN Yirang Institute of Mathematics Shandong University Jinan China 《中国科学A辑(英文版)》2006,49(2):185-211
For the three-dimensional coupled system of multilayer dynamics of fluids in porous media, the second-order upwind finite difference fractional steps schemes applicable to parallel arithmetic are put forward. Some techniques, such as calculus of variations, energy method, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates are adopted. Optimal order estimates in l2 norm are derived to determine the error in the second-order approximate solution. These methods have already been applied to the numerical simulation of migration-accumulation of oil resources. 相似文献
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Yirang Yuan 《Numerical Methods for Partial Differential Equations》2007,23(5):1037-1058
For nonlinear coupled system of multilayer dynamics of fluids in porous media, a second‐order upwind finite‐difference fractional‐steps scheme applicable to parallel arithmetic are put forward, and two‐ and three‐dimensional schemes are used to form a complete set. Some techniques, such as calculus of variations, multiplicative commutation rule of difference operators, decomposition of high‐order difference operators, and prior estimates are 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. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007 相似文献
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《数学物理学报(B辑英文版)》2015,(6)
A kind of second-order implicit fractional step characteristic finite difference method is presented in this paper for the numerically simulation coupled system of enhanced(chemical) oil production in porous media.Some techniques,such as the calculus of variations,energy analysis method,commutativity of the products of difference operators,decomposition of high-order difference operators and the theory of a priori estimates are introduced and an optimal order error estimates in l~2 norm is derived.This method has been applied successfully to the numerical simulation of enhanced oil production in actual oilfields,and the simulation results are quite interesting and satisfactory. 相似文献