Title: Euler-based throughflow method for inverse design and optimisation of turbomachinery blades

Authors: Simone Rosa Taddei; Francesco Larocca

Addresses: Aerospace Propulsion Group, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Torino, Italy ' Aerospace Propulsion Group, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Torino, Italy

Abstract: An inviscid model for complete axial flow turbomachinery is adopted, which replaces the blades with throughflow surfaces. The main effects of the real blades on the flow are modelled by blade forces. The inverse method predicts the axisymmetric flow field and throughflow surface geometry for a specified distribution of azimuthal inviscid force. This quantity drives the meridional distribution of rotor shaft power. Euler equations are solved by an implicit upwind finite-volume scheme. The time-marching computation includes an evolutionary equation for each throughflow surface, which is solved by implicit finite differences. Standard optimisation algorithms are used to find distributions of azimuthal force that minimise some sample cost functions. The optimal blade shapes are given by the corresponding geometrical solutions of the inverse problem. Since the cost function evaluation is reduced to an inviscid two-dimensional computation, the entire process is significantly less time-consuming than those based on three-dimensional CFD solvers.

Keywords: axisymmetric flow field; blade force; computational fluid dynamics; CFD; Euler-based throughflow; turbomachinery blades; inverse design; optimisation algorithms; throughflow surface; inviscid modelling; axial flow turbomachinery.

DOI: 10.1504/PCFD.2014.060138

Progress in Computational Fluid Dynamics, An International Journal, 2014 Vol.14 No.2, pp.71 - 82

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 28 Mar 2014 *

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