平面二维水流泥沙数学模型有限元分析  

FINITE ELEMENT METHOD FOR TWO-DIMENSIONAL MATHEM-ATIC MODEL IN RIVER FLOW AND SEDIMENT TRANSPORT

作　　者：张云鹏[1] 黄久林[1] 

机构地区：[1]山东大学土建与水利学院,山东省济南市250061

出　　处：《山东大学学报（工学版）》2002年第4期342-345,共4页Journal of Shandong University（Engineering Science）

摘　　要：建立了水流泥沙平面二维数学模型 讨论了动边界处理方法及定解条件 在利用有限元方法建立了离散的常微分方程组后 ,采用了选择系数质量矩阵集中法求解 ,从而避免了大量方程组的联解 ,极大限度地节省了计算存贮量 ,缩短了计算时间 通过实例验证 ,该模型适用于短河段、沉沙区、放淤区、引航道及边界条件较复杂的水工建筑物附近动床河段的冲淤数值模拟 。A two dimensional model in horizontal planes for the river flow and sediment transport is presented. The methods dealing with movable boundary and the conditions determining the answer are discussed. In order to adapt the complicated topography and boundary condition, the finite element method in numerical simulation is adopted. Appling the 'Selective Lumping Scheme', a procedure to solve an algebraic simultaneous equation system can be avoided. It makes the storage reduced extremely. This mathematic model can be used in short reach, sedimentary region, approach channel, and the adjacent area of hydraulic structures that have complicated boundary conditions. The calculating results agree experimental values reasonably well.

关 键 词：河床变形 河道淤积 有限元分析 水利工程 水流泥沙运动 平面二维数学模型 

分 类 号：TV143.1[水利工程—水力学及河流动力学]