SPECTRAL METHOD FOR CALCULATING MOVING INTERFACE BETWEEN FLUIDS IN POROUS MEDIUM

In the application of spectral method to the calculation of moving interfacebetween fluids in porous medium there are two difficulties: the spectral calcula-tion of function defined by a singular integral and the numerical quadrature ofhighly oscillating function. This paper proposes a spectral method for calculatingthe problem and finds the way to overcome the two difficulties. Example calcula-tions show that the method can describe successfully interfacial motion and, withalmost the same order of computational amount, is more accurate and stabler thanthe corresponding finite difference method.