A Boundary Element Method For Phase Change Problems
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
Related Book
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