Author(s)

A. J. Davies, M. E. Honnor & S. J. Kane

Abstract

A boundary element method for phase change problems A. J. Davies, M. E. Honnor & S. J . Kane Department of Mathematics, University of Hertfardshire, UK Abstract 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. 1 Introduction The Generalized Newmark, or GNpj, method was originally called the Beta-m method [I]. The GNpj method is a generalization of the Newmark method and is a general family of single step time marching schemes, choice of integration parameters controls accuracy and stability. Other well-known methods (e.g. Newmark, Wilson, Houbol

Keywords