Author(s)

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

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. 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. 1 Introduction The Generalized Newmark, or GNpj, method was originally called the Beta-m method [1]. The GNpj method is a generalization of the Newmark method and

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