The finite difference scheme for governingequations of flow in body-fitted coordinates is ADI method, and the solution ofmatrix is evaluated with pursuit method.
Based on the moving least squares method and the finite difference scheme, a new element\|free method is proposed and used to simulate horizontal two dimension river flow with complicated boundary.
An orthogonal curvilinear coordinate system following the alignment of the river was employed, which can be generated by the algebraic method. The grid could be attached to the channel geometry, and adapted to the flow features of channel. The second order explicit finite difference scheme was applied.
This is done by using a travelling wave method to formulate one-soliton solution and the finite difference method to the numerical solutions and the interactions between the solitons for the generalized nonlinear Schrodinger equations.
The concentration equation is treated by an implicit finite difference method that applies a form of the method of characteristics to the transport terms.
For the finite-difference time domain (FDTD) method, the electromagnetic scattering problem, which requires the characteristic structure size to be much smaller than the wavelength of the exciting source, is still a challenge.
The modified TEM horn antenna with distributed resistor load is presented in this paper, and the radiation properties of the antenna with the shields and absorbers are studied through the three-dimensional finite-difference time-domain (FDTD) scheme.
This is done by using a travelling wave method to formulate one-soliton solution and the finite difference method to the numerical solutions and the interactions between the solitons for the generalized nonlinear Schrodinger equations.
The concentration equation is treated by an implicit finite difference method that applies a form of the method of characteristics to the transport terms.
Experiments on actual layouts show that compared with the commercial software Raphael based on finite difference method, the proposed method is 2-3 orders of magnitude faster.
Then, using Au as an example, a finite difference method is employed to simulate the space-dependent and time-dependent absorptivity and the target temperature.
The results obtained in terms of the analytical method proposed are demonstrated to agree satisfactorily with those yielded by the numerical finite difference scheme of the solution of the system of heat conduction equations.
MacCormack's two-steps explicit finite difference scheme is used to discretize the equations in conservation form, and the artificial viscosity is added to the discretized inviscid equations by means of the self-adapted filter technique.