This paper describes and validates a numerical method for the calculation of unsteady inviscid and viscous flows. A companion paper compares experimental measurements of unsteady heat transfer on a transonic rotor with the corresponding computational results. The mathematical model is the Reynolds-averaged unsteady Navier–Stokes equations for a compressible ideal gas. Quasi-three-dimensionality is included through the use of a variable streamtube thickness. The numerical algorithm is unusual in two respects: (a) For reasons of efficiency and flexibility, it uses a hybrid Navier–Stokes/Euler method, and (b) to allow for the computation of stator/rotor combinations with arbitrary pitch ratio, a novel space–time coordinate transformation is used. Several test cases are presented to validate the performance of the computer program, UNSFLO. These include: (a) unsteady, inviscid flat plate cascade flows (b) steady and unsteady, viscous flat plate cascade flows, (c) steady turbine heat transfer and loss prediction. In the first two sets of cases comparisons are made with theory, and in the third the comparison is with experimental data.
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January 1993
Research Papers
Validation of a Numerical Method for Unsteady Flow Calculations
M. Giles,
M. Giles
Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139
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R. Haimes
R. Haimes
Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139
Search for other works by this author on:
M. Giles
Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139
R. Haimes
Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139
J. Turbomach. Jan 1993, 115(1): 110-117 (8 pages)
Published Online: January 1, 1993
Article history
Received:
March 4, 1991
Online:
June 9, 2008
Citation
Giles, M., and Haimes, R. (January 1, 1993). "Validation of a Numerical Method for Unsteady Flow Calculations." ASME. J. Turbomach. January 1993; 115(1): 110–117. https://doi.org/10.1115/1.2929195
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