水工结构数值仿真等几何分析方法初探  

Primary investigation of isogeometric analysis for hydraulic structures numerical simulation

作　　者：李明超[1] 张梦溪[1] LI Mingchao, ZHANG Mengxi(State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300354, Chin)

机构地区：[1]水利工程仿真与安全国家重点实验室,天津大学,天津300354

出　　处：《水利学报》2018年第3期291-302,312,共13页Journal of Hydraulic Engineering

基　　金：国家优秀青年科学基金项目(51622904);天津市杰出青年科学基金项目(17JCJQJC44000);国家重点基础研发计划(2013CB035903)

摘　　要：水工结构数值仿真计算是工程设计和运行评价的重要环节,但对于复杂结构的建模与分网过程繁琐耗时,目前普遍采用的有限元分析的几何模型与分析模型存在明显差异,难以实现"精细化"与"高效率"的求解。等几何分析作为一种集成前处理与分析过程的新型数值方法,在数值建模与计算分析等方面具有优势。基于等几何分析开展水工结构数值仿真计算新方法研究,以碾压混凝土重力坝为例,建立相应的多片等几何模型,从计算精度和仿真效率两个角度将等几何分析与有限元分析的计算结果进行了全面对比。数值模拟结果表明,等几何分析方法在建模、计算与求解分析多方面表现出明显优势,该方法建模简便、数值解精度高、收敛速度快、仿真效率高,具有很好的灵活性和适用性,为水工结构数值模拟分析提供了一种全新的手段和方法。Numerical simulation of hydraulic structures is an important step in their design and evaluation processes. However, the traditional modeling and meshing patterns of complex structures are complicated and time-consuming. The big gap between the design and the analysis model directly affects the accuracy and efficiency of the solution obtained by finite element analysis（FEA）. As a new numerical method,isogeomet- ric analysis（IGA）could integrate pre-processing and analysis processes and has advantages in modeling and analysis. Based on IGA, a new method for numerical simulation of hydraulic structure was developed. A RCC gravity dam model was chosen and the corresponding multi-patch model was built. The simulation re- sults of IGA and FEA were made a contrast from the point of view of accuracy and efficiency. The results show that IGA method could contribute to simple modeling processes, more accurate solutions, faster conver- gence speed and higher simulation efficiency. It would provide a new and valid method for numerical simu- lation analysis of complex hydraulic structures.

关 键 词：等几何分析 NURBS基函数 等参元 有限元分析 碾压混凝土重力坝 数值仿真 

分 类 号：TV642.2[水利工程—水利水电工程]