| A NEW NUMERICAL METHOD FOR TWO-PHASE IMMISCIBLE INCOMPRESSIBLE PROBLEM |
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| 作者姓名： | 孙文涛 |
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| 作者单位： | Sun Wen-tao Departemnt of Mathematics，Shangdong University，Jinan 250100，PRC. |
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| 基金项目： | This work is supported by National Educational Committce Doctoral Point foundation. |
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| 摘 要： | Two-phase, immiscible, incompressible flow in porous media is governed by a system of nonlinear partial differential equations. In most practical applications convection physically dominates diffusion, and the object of this paper is to develop a finite difference method combined with the method of characteristics and the lumped mass method to treat the parabolic equation of the differential system. This method is shown satisfy the maximum principle and its error analysis is presented.
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A NEW NUMERICAL METHOD FOR TWO-PHASE IMMISCIBLE INCOMPRESSIBLE PROBLEM* |
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| Sun Wen-tao Departemnt of Mathematics,Shangdong University,Jinan ,PRC..A NEW NUMERICAL METHOD FOR TWO-PHASE IMMISCIBLE INCOMPRESSIBLE PROBLEM[J].Numerical Mathematics A Journal of Chinese Universities English Series,1997(1). |
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| Authors: | Sun Wen-tao Departemnt of Mathematics Shangdong University Jinan PRC |
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| Institution: | Sun Wen-tao Departemnt of Mathematics,Shangdong University,Jinan 250100,PRC. |
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| Abstract: | Two-phase, immiscible, incompressible flaw in porous media is governed by a system of nonlinear partial differential equations. In most practical applications convection physically dominates diffusion, and the object of this paper is to develop a finite difference method combined with the method of characteristics and the lumped mass method to treat the parabolic equation of the differential system. This method is shown satisfy the maximum principle and its error analysis is presented. |
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| Keywords: | Immiscible incompressible problem maximum principle numerical method |
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