| CHARACTERISTIC FINITE DIFFERENCE METHODS FOR POSITIVE SEMIDEFINITE PROBLEM OF TWO-PHASE(OIL AND WATER)MISCIBLE FLOW IN POROUS MEDIA |
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| 作者姓名： | YUAN Yirang |
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| 作者单位： | Institute of Mathematics，Shandong University，Jinan 250100，China |
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| 摘 要： | Numericalsimulationoftwo-phase(oilandwater)miscibleflowinporousmediaisthe'mathematicalfoundationinenergyproblems.Forapositivedefiniteproblem,thefamousmathematicianandinitiatorofnumericalsimulationofoildeposit,J.Douglas,Jr.putforwardthefamouscharacteristicfinitedifferencemethodll'2].However,fornumericalanalysistherearoseseriousdifficulties.Heonlystudiedtheperiodiccasesandcoercivelysupposedthedictionmatrixoftheconcentrationequationispositivedefinite.Butinmanypracticalsituationsthediffusionmatr…
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CHARACTERISTIC FINITE DIFFERENCE METHODS FOR POSITIVE SEMIDEFINITE PROBLEM OF TWO-PHASE (OIL AND WATER)MISCIBLE FLOW IN POROUS MEDIA |
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| YUAN Yirang.CHARACTERISTIC FINITE DIFFERENCE METHODS FOR POSITIVE SEMIDEFINITE PROBLEM OF TWO-PHASE(OIL AND WATER)MISCIBLE FLOW IN POROUS MEDIA[J].Journal of Systems Science and Complexity,1999(4). |
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| Authors: | YUAN Yirang |
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| Abstract: | Numerical simulation of two-phase (oil and water) miscible flow in porousmedia is the mathematical foundation in energy problems. For a two-dimensional posi-tive problem, Douglas put forward the well-known characteristic finite difference method.However, for numerical analysis there exist difficulties. They assumed that the problem isperiodic and the diffusion matrix of the concentration equation was positive definite. Butin many practical situations the diffusion matrixes are only positive semidefinite. In thispaper, we put forward a kind of characteristic finite difference schemes and obtain optimalorder estimates in l2 norm for the error in the approximation assumptions. |
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| Keywords: | Oil and water displacement miscible flow positive semidefinite characteristic finite difference 12 error estimate |
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