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Automatic generators of multi-patch B-spline meshes of blade cascades and their comparison

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  • Bastl, Bohumír
  • Michálková, Kristýna

Abstract

In this paper, we propose several approaches for automatic construction of planar multi-patch B-spline parameterizations around one or between two consecutive blade profiles in a blade cascade starting from given design parameters (blade cascade is obtained by unfolding a cylindrical cross-section of the runner), which have been implemented in C++ as fully automatic generators and are an integral part of our in-house automatic shape optimization tool for water turbines. These B-spline parameterizations have to be prepared for the definition of periodic boundary conditions on the corresponding parts of the boundary, which makes finding of analysis-suitable multi-patch B-spline parameterizations even more challenging. All approaches are compared with respect to the selected geometric quality measures and also with respect to the results from our in-house isogeometric incompressible turbulent fluid flow solver and we discuss pros and cons of these approaches.

Suggested Citation

  • Bastl, Bohumír & Michálková, Kristýna, 2020. "Automatic generators of multi-patch B-spline meshes of blade cascades and their comparison," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 382-406.
    • Handle: RePEc:eee:matcom:v:178:y:2020:i:c:p:382-406
    DOI: 10.1016/j.matcom.2020.07.002
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    References listed on IDEAS

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    1. Bastl, Bohumír & Brandner, Marek & Egermaier, Jiří & Michálková, Kristýna & Turnerová, Eva, 2018. "Isogeometric analysis for turbulent flow," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 145(C), pages 3-17.
    2. Hosseini, Babak S. & Möller, Matthias & Turek, Stefan, 2015. "Isogeometric Analysis of the Navier–Stokes equations with Taylor–Hood B-spline elements," Applied Mathematics and Computation, Elsevier, vol. 267(C), pages 264-281.
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