Peng Weihong1,2, Gao Feng1, Cao Guohua3, Xu Yong2, Cheng Hongmei1
CMES-Computer Modeling in Engineering & Sciences, Vol.100, No.2, pp. 133-155, 2014, DOI:10.3970/cmes.2014.100.133
Abstract In this paper, the natural boundary element method is used to solve two-dimensional steady-state incompressible Stokes flows in a driven cavity. The analytical functions are expressed for the Stokes problem in an exterior circular domain under single value conditions, which satisfy the Stokes equations’ solutions in the form of complex functions. In order to obtain a uniform integral formula, the velocities on the boundary are expanded into Laurent series, and then compared with the analytical solutions obtained as described above. In this manner, the coefficients of the analytical solutions in the form of complex function are further confirmed. According to… More >
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