Finite Volume Scheme With Quadratic Reconstruction on Unstructured Adaptive Meshes Applied to Turbomachinery Flows PUBLIC ACCESS

[+] Author Affiliations
M. Delanaye, J. A. Essers

The University of Liège, Liège, Belgium

Paper No. 95-GT-234, pp. V001T01A068; 8 pages
  • ASME 1995 International Gas Turbine and Aeroengine Congress and Exposition
  • Volume 1: Turbomachinery
  • Houston, Texas, USA, June 5–8, 1995
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-7878-1
  • Copyright © 1995 by ASME


This paper presents a new finite volume cell-centered scheme for solving the 2D Euler equations. The technique for computing the advective derivatives is based on a high-order Gauss quadrature and an original quadratic reconstruction of the conservative variables for each control volume. A very sensitive detector identifying discontinuity regions switches the scheme to a TVD scheme, and ensures the monotonicity of the solution. The code uses unstructured meshes whose cells are polygons with any number of edges. A mesh adaptation based on cell division is performed in order to increase the resolution of shocks. The accuracy, insensitivity to grid distortions as well as the shock capturing properties of the scheme are demonstrated for different cascade flow computations.

Copyright © 1995 by ASME
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