Showing papers on "Meshfree methods published in 1986"

Finite difference methods in dynamics of continuous media

Abstract: Finite difference methods in dynamics of continuous media , Finite difference methods in dynamics of continuous media , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزی

Reservoir Simulation Based on the Finite Analytic Method

Abstract: Traditionally reservoir simulation has been accomplished by solution of reservoir flow models using variations of the methods of finite differences and less frequently by finite elements. The accuracy of these methods depends heavily on the size of grid blocks and time steps employed for the numerical solution. Consequently, computational time and memory requirements may be overwhelming in many cases. in the present study, a recently proposed method called the finite analytic method is shown to alleviate the difficulties associated with the conventional methods. The finite analytic method is operationally and principally different than the conventional finite difference and finite element methods in that a general analytical solution of the simulation model is used over mesh elements to obtain a numerical scheme. In this study, the methodology of formulating and calculating with this method is illustrated by means of a typical two-phase immiscible flow problem described by the Buckley-Leverett equation.