A Distributed Algorithm for 1-D Nonlinear Heat Conduction with an Unknown Point Source (1998)
| Venue: | in proceedings of 9 th International Conference on Domain Decomposition (To Appear |
| Citations: | 1 - 1 self |
BibTeX
@INPROCEEDINGS{Lai98adistributed,
author = {C. -h. Lai},
title = {A Distributed Algorithm for 1-D Nonlinear Heat Conduction with an Unknown Point Source},
booktitle = {in proceedings of 9 th International Conference on Domain Decomposition (To Appear},
year = {1998}
}
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Abstract
this paper for the modelling of a simplified cutting process. The aim of this paper is to study a domain decomposition algorithm for the simulation of temperature distributions along a work piece under cutting operations. The layout of the paper is as follows. First, a description is given of the model for an idealised cutting problem. Second, the partitioning of the physical problem into a number of subproblems is discussed. Third, a distributed numerical algorithm is introduced. Different numerical schemes are employed in different subdomains in Ninth International Conference on Domain Decomposition Methods Editor Petter E. Bjrstad, Magne S. Espedal and David E. Keyes c fl1998 DDM.org DISTRIBUTED ALGORITHM FOR UNKNOWN POINT SOURCE 769 order to solve different subproblems. Numerical tests are provided for three different types of material. An efficiency analysis is also included. Finally, some conclusions are drawn. 2 An Idealised Cutting Model Pioneering work in remote sensor methods for the retrieval of temperature distributions can be found in [LNK67]. Recently, such methods have been developed into more mature inverse methods [CW88][Ste91][YW86] for various cutting situations. However, the use of inverse methods becomes pragmatic since analytical temperature distributions are difficult to derive. In this paper, sensors and numerical methods are combined to provide solutions to metal cutting problems. To simplify the cutting problem, a piece of metal of infinite length and of homogeneous material property along the longitudinal direction, is considered. If the cutting tool is applied at a position along the width direction, then it is possible to assume a one-dimensional analogy of the physical problem. Therefore the domain of interest is along the width only,...
Keyphrases
distributed algorithm unknown point source 1-d nonlinear heat conduction temperature distribution physical problem domain decomposition algorithm remote sensor method domain decomposition method editor petter simplified cutting process one-dimensional analogy inverse method idealised cutting problem analytical temperature distribution idealised cutting model pioneering work width direction infinite length different subdomains different numerical scheme efficiency analysis numerical test ninth international conference work piece different subproblems homogeneous material property distributed numerical algorithm mature inverse method cw88 ste91 yw86 numerical method longitudinal direction different type fl1998 ddm cutting problem
