Spline-based meshing techniques for industrial applications

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Abstract

Isogeometric Analysis (IgA) has become an accepted framework for the mod-elling, simulation and optimization (MSO) of engineering processes. However, the fully automatized generation of analysis-suitable parameterizations of geometries as they arise in practical workflows is still a challenging task, which often requires application-specific parameterization approaches. In this article we present a practical approach [6] based on the principles of Elliptic Grid Generation (EGG) for the efficient on-demand generation of analysis-suitable spline-based parameterizations. Starting from a (point cloud) description of the boundary provided by the existing MSO-pipeline, an inverse nonlinear Poisson-type problem is solved to obtain a folding-free (planar) parameterization of the entire domain. The non-linearity is efficiently treated with a globalized hierarchical Newton approach. Automatized boundary contour reparameterization techniques are employed to improve the parametric properties from a numerical viewpoint, such as orthogonal isolines and equally-sized cells. The use of curved instead of straight-sided elements allows us to arrive at an accurate description of the target domain with fewer elements and thus potentially lower computational effort. Numerical experiments with screw-compressor geometries demonstrate that the proposed algorithm reliably produces high-quality parameterizations typically within 3−4 Newton-iterations, even in the presence of extreme aspect-ratios. This makes it particularly attractive for the on-demand application within an automatized industrial MSO-pipeline. To support the demands of modern high-performance computing hardware, only a moderate number of sufficiently large and structured patches is generated which can be mapped one-by-one to the different devices (CPUs/GPUs) with only little communication overhead. Topology changes are avoided in time-dependent and shape-optimization settings. Finally, the spline-based geometry description can be transformed into a classical mesh by performing a large number of function evaluations in the mapping operator. Its continuous nature allows for feature-based (structured and unstructured) refinement and arbitrary element densities without increasing the complexity of the meshing process.

Original languageEnglish
Title of host publicationProceedings of the 6th European Conference on Computational Mechanics
Subtitle of host publicationSolids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018
EditorsRoger Owen, Rene de Borst, Jason Reese, Chris Pearce
PublisherInternational Centre for Numerical Methods in Engineering, CIMNE
Pages1033-1044
Number of pages12
ISBN (Electronic)9788494731167
Publication statusPublished - 2020
Event6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018 - Glasgow, United Kingdom
Duration: 11 Jun 201815 Jun 2018
Conference number: 6

Conference

Conference6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018
Abbreviated titleECFD 2018
CountryUnited Kingdom
CityGlasgow
Period11/06/1815/06/18

Keywords

  • (Re-)parameterization
  • Elliptic Grid Generation
  • Isogeometric Analysis

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    Hinz, J., Möller, M., & Vuik, C. (2020). Spline-based meshing techniques for industrial applications. In R. Owen, R. de Borst, J. Reese, & C. Pearce (Eds.), Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018 (pp. 1033-1044). International Centre for Numerical Methods in Engineering, CIMNE.