| The Modified Upwind Finite Difference Fractional Steps Method for Compressible Two-phase Displacement Problem |
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| 作者姓名： | Yi-rangYuan |
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| 作者单位： | InstituteofMathematics,ShandongUniversity,Jinan250100,China |
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| 基金项目： | Supported by the Major State Basic Research Program of China (Grant No.1999032803),the National Natural Science Foundation of China (Grant No.10372052,10271066),the Decorate Foundation of the Ministry Education of China (Grant No.20030422047) |
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| 摘 要： | For compressible two-phase displacement problem,the modified upwind finite difference fractionalsteps schemes are put forward.Some techniques,such as calculus of variations,commutative law of multiplicationof difference operators,decomposition of high order difference operators,the theory of prior estimates and tech-niques are used.Optimal order estimates in L~2 norm are derived for the error in the approximate solution.Thismethod has already been applied to the numerical simulation of seawater intrusion and migration-accumulationof oil resources.
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| 关 键 词： | 收敛性 二相位移 二维空间压缩 偏微分方程 有限逆向修正差分算法 |
| 收稿时间： | 22 October 2001 |
The Modified Upwind Finite Difference Fractional Steps Method for Compressible Two-phase Displacement Problem |
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| Yi-rangYuan.The Modified Upwind Finite Difference Fractional Steps Method for Compressible Two-phase Displacement Problem[J].Acta Mathematicae Applicatae Sinica,2004,20(3):381-396. |
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| Authors: | Email author" target="_blank">Yi-rang?YuanEmail author |
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| Institution: | E-mail:yryuan@sdu.edu.cn |
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| Abstract: | For compressible two-phase displacement problem,the modified upwind finite difference fractionalsteps schemes are put forward.Some techniques,such as calculus of variations,commutative law of multiplicationof difference operators,decomposition of high order difference operators,the theory of prior estimates and tech-niques are used.Optimal order estimates in L~2 norm are derived for the error in the approximate solution.Thismethod has already been applied to the numerical simulation of seawater intrusion and migration-accumulationof oil resources. |
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| Keywords: | Two-phase displacement two-dimensional compressibility modified upwind finite difference fractional steps method convergence |
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