Gas turbine computational flow and structure analysis with isogeometric discretization and a complex-geometry mesh gener

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ORIGINAL PAPER

Gas turbine computational flow and structure analysis with isogeometric discretization and a complex-geometry mesh generation method Yuri Bazilevs1 · Kenji Takizawa2 · Michael C. H. Wu1 · Takashi Kuraishi3 · Reha Avsar3 · Zhaojing Xu2 · Tayfun E. Tezduyar3,4 Received: 10 August 2020 / Accepted: 24 August 2020 © The Author(s) 2020, corrected publication 2020

Abstract A recently introduced NURBS mesh generation method for complex-geometry Isogeometric Analysis (IGA) is applied to building a high-quality mesh for a gas turbine. The compressible flow in the turbine is computed using the IGA and a stabilized method with improved discontinuity-capturing, weakly-enforced no-slip boundary-condition, and sliding-interface operators. The IGA results are compared with the results from the stabilized finite element simulation to reveal superior performance of the NURBS-based approach. Free-vibration analysis of the turbine rotor using the structural mechanics NURBS mesh is also carried out and shows that the NURBS mesh generation method can be used also in structural mechanics analysis. With the flow field from the NURBS-based turbine flow simulation, the Courant number is computed based on the NURBS mesh local length scale in the flow direction to show some of the other positive features of the mesh generation framework. The work presented further advances the IGA as a fully-integrated and robust design-to-analysis framework, and the IGA-based complex-geometry flow computation with moving boundaries and interfaces represents the first of its kind for compressible flows. Keywords Gas turbine · Isogeometric discretization · Complex-geometry NURBS mesh generation · Compressible-flow SUPG method · ALE-SUPG method · Sliding interface · Direction-dependent local length scale

1 Introduction The designs of commercial and military vehicles are continuously improved to deliver increased performance. The vehi-

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Kenji Takizawa [email protected] Yuri Bazilevs [email protected] Tayfun E. Tezduyar [email protected]

1

School of Engineering, Brown University, 184 Hope St., Providence, RI 02912, USA

2

Department of Modern Mechanical Engineering, Waseda University, 3-4-1 Ookubo, Shinjuku-ku, Tokyo 169-8555, Japan

3

Mechanical Engineering, Rice University, MS 321, 6100 Main Street, Houston, TX 77005, USA

4

Faculty of Science and Engineering, Waseda University, 3-4-1 Ookubo, Shinjuku-ku, Tokyo 169-8555, Japan

cles are often costly to build and maintain, and, as a result, optimal performance and operational reliability become the key aspects of the vehicle design in the commercial and military mobility applications. As the vehicle and engine designs get more sophisticated, the corresponding computational analysis methods must also mature to support advances in the mobility technology. Recent advances in geometry modeling, mesh generation, computational mechanics of fluids and structures, multiphysics modeling, and high-performance computing create a unique opportunity for the development of the next-gene