Direct simulation for CAD models undergoing parametric modifications

Zhu, Liangchao, Li, Ming and Martin, Ralph Robert 2016. Direct simulation for CAD models undergoing parametric modifications. Computer-Aided Design 78 , pp. 3-13. 10.1016/j.cad.2016.05.006

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Abstract

We propose a novel approach—direct simulation—for interactive simulation with accuracy control, for CAD models undergoing parametric modifications which leave Dirichlet boundary conditions unchanged. This is achieved by computing offline a generic solution as a function of the design modification parameters. Using this parametric expression, each time the model parameters are edited, the associated simulation solution for this model instance can be cheaply and quickly computed online by evaluating the derived parametric solution for these parameter values. The proposed approach furthermore works for models undergoing topological changes, and does not need any mesh regeneration or mesh mapping. These results are achieved by use of the proper generalized decomposition model reduction technique, in combination with R-functions. We believe this is the first approach that can interactively simulate the physical properties of a CAD model, even undergoing topological change, without expensive re-computation. The approach is demonstrated for linear elasticity analysis; numerical results demonstrate its simulation accuracy and efficiency in comparison with the classic FE method.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Additional Information:	This journal has an embargo period of 24 months. PDF uploaded in accordance with publisher's policies at http://www.sherpa.ac.uk/romeo/issn/0010-4485/(accessed 13.5.16).
Publisher:	Elsevier
ISSN:	0010-4485
Date of First Compliant Deposit:	13 May 2016
Date of Acceptance:	27 April 2016
Last Modified:	27 Nov 2024 08:30
URI:	https://orca.cardiff.ac.uk/id/eprint/90837

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