| 完全可压熔混流驱动问题的特征差分方法及其理论分析 |
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| 引用本文： | 程爱杰. 完全可压熔混流驱动问题的特征差分方法及其理论分析[J]. 山东大学学报(理学版), 1993, 0(4) |
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| 作者姓名： | 程爱杰 |
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| 作者单位： | 山东大学数学系 |
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| 基金项目： | 国家“八五”攻关，国家关键基础研究课题 |
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| 摘 要： | 研究多孔介质中完全可压缩渗流驱动问题的计算方法,对压力方程用有限差分离散,对浓度方程用基于局部二次插值的特征线差分方法离散,构造并分析了数值计算格式,证明了最优H_1模误差估计。
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| 关 键 词： | 完全可压缩渗流模型 渗流驱动 特征线差分 误差估计 |
FINITE DIFFERENCE METHOD WITH CHARACTERISTIC FOR COMPLETELY COMPRESSIBLE MISCIBLE DISPLACEMENT IN POROUS MEDIA |
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| Cheng Aijie Dept. of Math.,Shandong Univ,Jinan. FINITE DIFFERENCE METHOD WITH CHARACTERISTIC FOR COMPLETELY COMPRESSIBLE MISCIBLE DISPLACEMENT IN POROUS MEDIA[J]. Journal of Shandong University, 1993, 0(4) |
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| Authors: | Cheng Aijie Dept. of Math. Shandong Univ Jinan |
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| Abstract: | A nonlinear parabolic system is derived to discribe completely compressible displacement in porous media. A finite difference procedure is introduced to approximate the concentration of one of the fluids and the pressure of the mixture. The concentration is discreted by a finite difference method combining the method of characteristic with a local quadratic interpolation.The pressure is approximated by a finite difference method. Under the assumption of periodic, optimal error estimate is obtained. |
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| Keywords: | model for completely compressible flow displacement in porous media characteristic difference error estimate |
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