Transient Heat Transfer Numerical Method Using Somoothed Partickle Hydrodynamics

The numerical simulation of temperature field is an important research field of fluid machinery. The solution of temperature field contains the time domain and the space domain. How to solve the distribution of temperature field accurately and effectively is very important in practical applications.In this thesis, a new mesh-less numerical method is presented, which named Smooth Particle Hydrodynamics (SPH), to simulate the transient heat transfer problem. The SPH is a mesh-less, adaptive, Lagrangian, particle method. With the features of mesh-less, adaption, and Lagrange, SPH has become a research hotspot of the science and engineering fields.In this thesis, SPH method is used for the numerical simulation of the transient heat transfer problem in two ways. One is to reform the second order partial differential equation (PDE) of the transient heat transfer problems into two first order PDEs, and then use SPH method for each PDE. The other is to apply SPH method to the second order PDE directly. Two SPH boundary methods are used. One is the ghost particle method, which uses the mirror principles to generate external particles, on the border. The other is the fixed boundary particle method, by which the variable of the boundary particles are calculated by the variables of the internal particles with weights.This thesis first introduces the SPH method, and then analyzes how to apply it to the transient heat transfer problems. A SPH program written by FORTRAN language is developed to verify the feasibility and effectiveness of those methods. Based on the simulation results, it is found that both of the two SPH methods can solve the regular border and irregular border of geometric model problems, and both can improve the calculation accuracy by increasing the number of particles. With Lucy's kernel, the second order SPH, which restricted by(?)2W(r,h)≥0, is littlely smoother and more accurate than the method of two first order PDEs, and the ghost particle method is better than the fixed boundary particle method.