Nonlinear transient field problems with phase change using the boundary element method

摘要

This paper presents the Generalized Newmark Dual Reciprocity Boundary Element Method and the Single Step Dual Reciprocity Boundary Element Method for solving nonlinear transient field problems with phase change. Both are a combination of a general 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.