无网格伽辽金法在施工导流二维数值模拟中的应用

Application of Galerkin meshless method to two-dimensional numerical simulation of construction diversion

针对有限元法等传统数值计算方法存在受单元网格限制、前后处理工作复杂的问题,提出应用一种数值计算方法——无网格伽辽金法,对具有简单边界条件的水利水电工程施工导流的恒定二维浅水流动问题进行了分析、计算.同时利用有限元法进行了对比计算,从流速、水位的计算结果来看,两种计算方法结果相近、误差较小,表明采用无网格伽辽金法解决此类问题是可行的.

The limitation of conventional finite element method （FEM） and other methods was pointed. It is proposed to calculate two-dimensional shallow water flow with simple border condition in river diversion during construction of hydraulic and hydroelectric engineering by using mesh free Galerkin method. The parallel calculation was made by the FEM. The results of the flow velocity and water level obtained by two calculation methods were quite similar, showing that mesh free Galerkin method is feasible to solve simple problem of two-dimensional shallow water flow.