| Along with the computer operation ability greatly improved,the meshless numerical calculation method based on the Lagrange form has been developed rapidly.While,the finite point method(FPM)is a successful one,which uses the moving least squares interpolation for each particle and gets the discrete equations by using projection method.The FPM method completely gets rid of background grid constraints.There is no geometric topology relationship among particles.It has been successfully applied in solid mechanics,fluid mechanics and other fields.Compared with mesh method based on the Euler scheme,the finite point method has unique advantages in dealing with drastic changed flows which includes large deformation of free surface,wave turning and breaking.Studying on the principle of FPM algorithm and exploring its application in flow fields will be of great significance for solving the practical engineering problems.This paper focuses on the research on finite point method applying to incompressible fluid mechanics problems,especially ship speed performance.The design and development of FPM program is based on C++ language and the format of result files and post processing method are standardized.The two-dimensional Couette flow and cavity shear flow are used for verifying the accuracy of program algorithm and treatment to low flow rate without free surface viscous flow problems.The dam breaking is to examine the ability of dealing with free surface with large deformation,rolling and breaking.Then,this paper extends the two dimensional dam breaking to three dimensional dam breaking with obstacles.Tank sloshing model is conducted to inspect moving boundary treatment and pressure monitoring ability.Finally,this paper investigates the FPM method in the calculation of ship hydrodynamics.The precision of the FPM method is verified by the resistance and flow around ship of Wigley and DTMB 5415.It provides a reference value for future application of this method in ship hydrodynamics. |
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