In the application of spectral method to the calculation of moving interface between fluids in porous medium there are two difficulties: the spectral calcula- tion of function defined by a singular integral and the nu...In the application of spectral method to the calculation of moving interface between fluids in porous medium there are two difficulties: the spectral calcula- tion of function defined by a singular integral and the numerical quadrature of highly oscillating function. This paper proposes a spectral method for calculating the problem and finds the way to overcome the two difficulties. Example calcula- tions show that the method can describe successfully interfacial motion and, with almost the same order of computational amount, is more accurate and stabler than the corresponding finite difference method.展开更多
基金This work is supported by the National Natural Science Foundation of China
文摘In the application of spectral method to the calculation of moving interface between fluids in porous medium there are two difficulties: the spectral calcula- tion of function defined by a singular integral and the numerical quadrature of highly oscillating function. This paper proposes a spectral method for calculating the problem and finds the way to overcome the two difficulties. Example calcula- tions show that the method can describe successfully interfacial motion and, with almost the same order of computational amount, is more accurate and stabler than the corresponding finite difference method.
