In terms of Cauchy's integral formula of analytical complex function and the three order spline function of complex variable, a general boundary solution method is presented for solving the complex potential field of the flow field around a 2D semi infinite body. The pressure coefficient distribution on the cylinder surface by the present method is in good agreement with Acrivous' result for the flow problem around a circular cylinder.

The governing equation of electromagnetic field in moving conductor is of convective-diffusive type. To suppress the spurious oscillations which occur in its Galerkin FEM solution when the grid Peclet number is greater than one and to avoid an inappropriate treatment of diffusive term by Heinrich's upwind scheme, a modified upwind scheme of Heinrich's type is proposed. The scheme is applied to FEM analysis of several electromagnetic field problems in moving conductor.

An upwind scheme for periodic electromagnetic field problems in moving media is developed in the paper. When the Peclet number of discrete grid is larger than one, the procedure using Galerkin method will provide spurious oscillations in the computed results. To suppress these oscillations, an upwingd finite element method with two different upwind parameters in upwind and downwind sides is introduced. To one dimensional problems, this method can provide nodally exact solution for even spacing grids. Based on the one dimensional result, a cooresponding two dimensional scheme is suggested and tested by a 2-D model.