A model-integrated localized collocation meshless method for large scale three-dimensional heat transfer problems

    Authors

    S. Gerace; K. Erhart; A. Kassab;E. Divo

    Comments

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    Abbreviated Journal Title

    Eng. Anal. Bound. Elem.

    Keywords

    Mesh less methods; Heat transfer; Large-scale problems; PARTIAL-DIFFERENTIAL-EQUATIONS; COMPUTATIONAL FLUID-DYNAMICS; BYPASS; GRAFTS ANASTOMOSES; DATA APPROXIMATION SCHEME; PHASE-CHANGE PROBLEMS; CFD; MULTIQUADRICS; OPTIMIZATION; GENERATION; FLOWS; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

    Abstract

    We present a Model Integrated Meshless Solver (MIMS) tailored to solve practical large-scale industrial problems. This is accomplished by developing a robust meshless technique as well as a comprehensive model generation procedure. By closely integrating the model generation process into the overall solution methodology, the presented techniques are able to fully exploit the strengths of the meshless approach to achieve levels of automation, stability, and accuracy currently unseen in the area of engineering analysis. Specifically, MIMS implements a blended meshless solution approach which utilizes a variety of shape functions to obtain a stable and accurate iteration process. This solution approach is then integrated with a newly developed, highly adaptive model generation process which employs a quaternary triangular surface discretization for the boundary, a binary-subdivision discretization for the interior, and a unique shadow layer discretization for near-boundary regions. Together, these discretization techniques are able to achieve directionally independent, automatic refinement of the underlying model, allowing the method to generate accurate solutions without the need for intermediate human involvement. In addition, by coupling the model generation with the solution process, the presented method is able to address the issue of ill-constructed geometric input such as small features, poorly formed faces, and other such pathologies often generated from solid models in the course of design and in the end to provide an intuitive, yet powerful approach to solving modern engineering analysis problems. (C) 2014 Elsevier Ltd. All rights reserved.

    Journal Title

    Engineering Analysis with Boundary Elements

    Volume

    45

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    2

    Last Page

    19

    WOS Identifier

    WOS:000337884300002

    ISSN

    0955-7997

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