摘要
In this paper the wave equation model (WEM) [1] is extended to solve advection-dominant heat transfer problems in multi-dimensional space. Based on the operator-splitting method the heat transfer equation is divided into an advection equation and a diffusion equation which are solved separately. In advection stage the first order advection equation is transferred to a second order wave equation first, than the wave equation is solved by FEM with mass lumping. The diffusion equation can be solved accurately without many difficulties. A number of numerical examples of multi-dimensional advection are presented in which the advection velocities are non-uniform in space and unsteady in time. The numerical results are quite accurate in comparison with the exact solutions.The mass lumping saves computational effort greatly.
In this paper the wave equation model (WEM) [1] is extended to solve advection-dominant heat transfer problems in multi-dimensional space. Based on the operator-splitting method the heat transfer equation is divided into an advection equation and a diffusion equation which are solved separately. In advection stage the first order advection equation is transferred to a second order wave equation first, than the wave equation is solved by FEM with mass lumping. The diffusion equation can be solved accurately without many difficulties. A number of numerical examples of multi-dimensional advection are presented in which the advection velocities are non-uniform in space and unsteady in time. The numerical results are quite accurate in comparison with the exact solutions.The mass lumping saves computational effort greatly.
