Complex Variable Meshless Manifold Method for Transient Heat Conduction Problems

On the basis of the complex variable meshless manifold method (CVMMM), the time domain is discretized using the traditional two-point difference method, and the complex variable moving least-squares (CVMLS) method is used in the spatial domain. According to the equivalent integral weak form of the governing equation, the CVMMM for transient heat conduction problem is established, and the corresponding discreted equations are derived by introducing the penalty function method to the essential boundary conditions. The numerical examples show that compared with the meshless manifold method (MMM), the CVMMM for transient heat conduction problem has the advantages of high precision and less calculation. This proposed method is a new numerical calculation method which has great development potential.