NUMERICAL TECHNIQUES FOR SOLVING PARTIAL DIFFERENTIAL EQUATIONS IN HETEROGENEOUS MEDIA
NUMERICAL TECHNIQUES FOR SOLVING PARTIAL DIFFERENTIAL EQUATIONS IN HETEROGENEOUS MEDIA
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发表时间：
2003
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通讯作者：
J. Cordazzo;Fernando S. V. Hurtado;C. Maliska;A. F. C. D. Silva
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作者：
J. Cordazzo;Fernando S. V. Hurtado;C. Maliska;A. F. C. D. Silva
This paper deals with numerical issues involved in the solution of partial differential equations in heterogeneous media. One important application in this class of problems is the simulation of petroleum reservoirs. For these simulations, three different methodologies are usually employed: finite element, classical finite volume and elementbased finite volume methods. The main contribution of the paper is to perform a comparison among the results given by these methods in some reference test problems, considering the accuracy of the fluxes evaluation and the techniques for averaging the physical properties at the control volume interfaces, since in these problems large heterogeneities are common. It is shown that the methods that do not require an average of the physical properties at the interfaces produce more accurate solutions. It is also proposed a new local grid refinement scheme that uses higher order interpolation functions.
