A dual reciprocity method for phase change problems

摘要

This paper presents the Generalized Newmark Dual Reciprocity Boundary Element Method, GNDRM, for solving nonlinear transient field problems with phase change. GNDRM is a combination of the Generalized Newmark family of single step time marching schemes and the Dual Reciprocity Boundary Element Method. Iterations are performed at each time step using the Newton-Raphson method with line searches; Latent heat effects due to phase change are incorporated using a fixed-grid apparent heat capacity method. The DRM is performed with a linear radial basis and augmented thin plate spline expansions with the results compared with an accurate finite element solution.