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Finite volume scheme with quadratic reconstruction on unstructured adaptive meshes applied to turbomachinery flows

Journal Article · · Journal of Turbomachinery
DOI:https://doi.org/10.1115/1.2841109· OSTI ID:511909
;  [1]
  1. Univ. of Liege (Belgium). Inst. of Mechanics and Aeronautics

This paper presents a new finite volume cell-centered scheme for solving the two-dimensional 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, and shock capturing properties of the scheme are demonstrated for different cascade flow computations.

Sponsoring Organization:
USDOE
OSTI ID:
511909
Report Number(s):
CONF-950629--
Journal Information:
Journal of Turbomachinery, Journal Name: Journal of Turbomachinery Journal Issue: 2 Vol. 119; ISSN JOTUEI; ISSN 0889-504X
Country of Publication:
United States
Language:
English

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