【摘要】 本文提出一种求解对流－弥散方程的新算法──混合拉普拉斯变换有限单元法（ＨＬＴＦＥＭ）．该算法在时间域上求解是半解析的．在空间域中对拉氏空间离散化的微分方程求解是数值的．对拉氏变换后节点浓度值的数值反演采用高精度的Ｈｏｎｉｇ－Ｈｉｒｄｅｓ（１９８４）算法．数值试验的结果与解析解和Ｇａｌｅｒｋｉｎ有限元的解进行了对比，表明：ＨＬＴＦＥＭ计算精度高，稳定性好，一步到位．特别是对网格Ｐｅｃｌｅｔ数高达１００的对流占优溶质运移问题，仍能较好地模拟浓度锋面的推移．更多还原

【Abstract】 In this paper, a new hybrid method-HLTFEM for solving convection-dispersion equation has been proposed. It is semi-analytical in time and numerical in space to solve the discretined PDE in the Laplace space. The accurate Honig-Hirdes (1984) algorithm is adopted in numerical inverson of the transformed nodal concentration. The HLTFEM avoids time stepping and permits the use of a relatively coarse grid. The results obtained from this new method are compared with those from theexact solution and the Galerkin finite element methed.It isdemonstrated by means of numerical tests that the HLTFEM is capable of providing a stable and highly accurate solutions without numerical dispersioneven for the grid having Peclet number of 100.更多还原