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

Bohumír Bastl and Kristýna Michálková

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 178, issue C, 382-406

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.

Keywords: B-spline surface; NURBS surface; Isogeometric analysis; Water turbine; Incompressible turbulent flow simulation; Multi-patch B-spline/NURBS meshes (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:178:y:2020:i:c:p:382-406

DOI: 10.1016/j.matcom.2020.07.002

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