Calculation Of Dam Break Problem Considering Fluid With Gradient Distribution By Local Radial Basis Function Collocation Method

In recent years,our country has been paying more and more attention to basic water engineering projects and has been investing more and more in dams and reservoirs,but there are many potential hazards such as dam failure and flooding.After hundreds of years of research by domestic and international scholars,numerical simulation has gradually become the mainstream method to solve the dam failure problem,and the more representative ones are: finite element method,finite difference method and finite volume method.However,when dealing with free surfaces and moving boundaries of fluid problems,grid-based computational methods gradually showed their limitations,so scholars began to explore a numerical method that can still guarantee high accuracy while avoiding meshing.In this paper,we improve the local radial basis function collocation method(LRBFCM)with the help of background mesh idea to establish a fast numerical computational model for Lagrangian description of incompressible fluids.The validity of the algorithm is verified by the classical liddriven cavity flow problem,and the method is applied to the numerical simulation of dam failure.A comparative verification was carried out through dam-break flume experiments,and it was found that the characteristics of fluid free level,wave front displacement and water level at the observation point were in good agreement with the experiments,which verified the correctness and feasibility of the dam-break model;and based on this numerical model,the flow process of dam-break with gradient distribution of material parameters was analyzed and compared with conventional dambreak,and the difference in flow law between gradient distribution dam-break and conventional dam-break was discussed,which provides a basis for subsequent research and The difference in flow law between gradient-distributed dam failure and conventional dam failure is discussed,which provides numerical research experience for subsequent research and dam failure disaster prevention.