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《Geological Science and Technology Information》 1996-01
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NUMERICAL SIMULATION FOR TIME-SPACE KINETIC MASS CONSERVATION IEQUATIONS OF FLUID FLOW AND REACTION

He Wenwu Li Tieping(China University of Geosciences, Wuhan, 430074)  
The usual approach to modeling coupled transport and reaction is to use numerical methods based on the finite difference or finite element method.Discretization of the governing equations reduces the problem to solving a set of nonlinear algebraic equations each time step.In a multicomponent reacting system,the minimum numbers of equations to be solved at every time step is always N_c×M. With the quasi-stationary state approximation the time steps between quasi-stationary states are not limited by numerical stability requirements.A modified Newton-Raphson iteration is the most efficieat solution strategy for the nonlinear algebraic equations.The ordered structure of Jacobian matrices which arise from the discretization of the coupled transport-reaction equations suggests the use of block iterative methods such as block SOR which are particularly useful in that the dease diagonal submatrix can be inverted directly and efficientIy by startdard methods such as LU decomposition.
【CateGory Index】: O241.82
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