Author(s)

M.M. Namin

Abstract

: A new positive definite high accurate explicit finite difference numerical scheme is proposed, to solve the advection dominated transport problem. The scheme has powerful capability to simulate shocks and sharp gradient of initial distribution. The heart of the scheme is to approximate the initial distribution function of concentration in a computational cell using all ready computed zeroth, first and second moment of the function. It can be classified as Godunov's type of schemes introduced by Van Leer [8], however in contrast with those methods defined function in the cell is not a continuous one but it consists of blocks of concentration whose dimensions are computed having the above mentioned moments. The next step of the computation,similar to the methods introduced by Van Leer is the integration of advection equation over a finite time

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