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Energies 2014, 7(12), 7857-7877; doi:10.3390/en7127857

The Application of Discontinuous Galerkin Methods in Conjugate Heat Transfer Simulations of Gas Turbines

1
Key Laboratory for Thermal Science and Power Engineering of Education, Department of Thermal Engineering, Tsinghua University, Beijing 100084, China
2
Department of Mathematics, School of Science, Hong Kong University of Science and Technology, Hong Kong 999077, China
*
Author to whom correspondence should be addressed.
Received: 11 October 2014 / Revised: 1 November 2014 / Accepted: 5 November 2014 / Published: 26 November 2014
(This article belongs to the Special Issue Advances in Nuclear Reactor and Fuel Cycle Technologies)
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Abstract

The performance of modern heavy-duty gas turbines is greatly determined by the accurate numerical predictions of thermal loading on the hot-end components. The purpose of this paper is: (1) to present an approach applying a novel numerical technique—the discontinuous Galerkin (DG) method—to conjugate heat transfer (CHT) simulations, develop the engineering-oriented numerical platform, and validate the feasibility of the methodology and tool preliminarily; and (2) to utilize the constructed platform to investigate the aerothermodynamic features of a typical transonic turbine vane with convection cooling. Fluid dynamic and solid heat conductive equations are discretized into explicit DG formulations. A centroid-expanded Taylor basis is adopted for various types of elements. The Bassi-Rebay method is used in the computation of gradients. A coupled strategy based on a data exchange process via numerical flux on interface quadrature points is simply devised. Additionally, various turbulence Reynolds-Averaged-Navier-Stokes (RANS) models and the local-variable-based transition model γ-Reθ are assimilated into the integral framework, combining sophisticated modelling with the innovative algorithm. Numerical tests exhibit good consistency between computational and analytical or experimental results, demonstrating that the presented approach and tool can handle well general CHT simulations. Application and analysis in the turbine vane, focusing on features around where there in cluster exist shock, separation and transition, illustrate the effects of Bradshaw’s shear stress limitation and separation-induced-transition modelling. The general overestimation of heat transfer intensity behind shock is conjectured to be associated with compressibility effects on transition modeling. This work presents an unconventional formulation in CHT problems and achieves its engineering applications in gas turbines. View Full-Text
Keywords: gas turbines; conjugate heat transfer; discontinuous Galerkin methods; Bassi-Rebay scheme; Taylor basis functions; local-variable-based transition model gas turbines; conjugate heat transfer; discontinuous Galerkin methods; Bassi-Rebay scheme; Taylor basis functions; local-variable-based transition model
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Hao, Z.-R.; Gu, C.-W.; Ren, X.-D. The Application of Discontinuous Galerkin Methods in Conjugate Heat Transfer Simulations of Gas Turbines. Energies 2014, 7, 7857-7877.

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