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RESEARCH PAPERS

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

[+] Author and Article Information
M. Delanaye, J. A. Essers

Aerodynamics Group, Institute of Mechanics and Aeronautics, The University of Liège, Liège, Belgium

J. Turbomach 119(2), 263-269 (Apr 01, 1997) (7 pages) doi:10.1115/1.2841109 History: Received March 02, 1995; Online January 29, 2008

Abstract

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.

Copyright © 1997 by The American Society of Mechanical Engineers
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