Rapid re-meshing and re-solution of three-dimensional boundary element problems for interactive stress analysis

T. Foster, M Shadi Mohamed, J. Trevelyan, G. Coates

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    Structural design of mechanical components is an iterative process that involves multiple stress analysis runs; this can be time consuming and expensive. It is becoming increasingly possible to make significant improvements in the efficiency of this process by increasing the level of interactivity. One approach is through real-time re-analysis of models with continuously updating geometry. A key part of such a strategy is the ability to accommodate changes in geometry with minimal perturbation to an existing mesh. This work introduces a new re-meshing algorithm that can generate and update a boundary element mesh in real-time as a series of small changes are sequentially applied to the associated model. The algorithm is designed to make minimal updates to the mesh between each step whilst preserving a suitable mesh quality that retains accuracy in the stress results. This significantly reduces the number of terms that need to be updated in the system matrix, thereby reducing the time required to carry out a re-analysis of the model. A range of solvers are assessed to find the most efficient and robust method of re-solving the system. The GMRES algorithm, using complete approximate LU preconditioning, is found to provide the fastest convergence rate.
    Original languageEnglish
    Pages (from-to)1331–1343
    Number of pages13
    JournalEngineering Analysis with Boundary Elements
    Volume36
    Issue number9
    DOIs
    Publication statusPublished - Sep 2012

    Keywords

    • Boundary element method
    • Meshing
    • Re-analysis
    • Linear solvers

    ASJC Scopus subject areas

    • Engineering(all)

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