A Study Of Meshless Method In Numerical Heat Transfer

The process and basic theory of meshless method and its applications for Numerical Heat Transfer are investigated in this dissertation. As a new numerical analysis method, meshless method was developed rapidly in the past two decades. The method requires only nodes and no elements are needed. In the dissertation, meshless element free Galerkin method (EFG) which utilizes moving least square (MLS) is used for solving heat transfer problems. Lagrange multiplier method is used to deal with the essential boundary condition. Some parameters in element free Galerkin method, which influence the precision, are also discussed in the numerical simulation. The adaptive method of meshless method is also stated.