PERIODIC UNSTEADY TRANSONIC COMPRESSIBLE FLOW SIMULATION USING FOURIER-BASED ALGORITHM

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MOHAGHEGH M.R.; MALEK JAFARIAN M.

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Journal: Journal of Applied and Computational Sciences in Mechanics Year:2014 | Volume:25 | Issue:2 (10) Page(s): 47-63

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Title

PERIODIC UNSTEADY TRANSONIC COMPRESSIBLE FLOW SIMULATION USING FOURIER-BASED ALGORITHM

Author(s)

MOHAGHEGH M.R. | MALEK JAFARIAN M. | Issue Writer Certificate

Keywords

TIME SPECTRAL METHODQ2

UNSTEADY TRANSONIC FLOWQ2

PITCHING AIRFOILQ2

DISCRETE FOURIER TRANSFORMQ2

BALDWIN-LOMAX TURBULENCE MODELQ2

Abstract

The present research simulates time-periodic UNSTEADY TRANSONIC FLOW around PITCHING AIRFOILs via the solution of unsteady Euler and Navier-Stokes equations, using TIME SPECTRAL METHOD (TSM) and compares it with the traditional methods such as BDF and Explicit Structured Adaptive Grid Method. The TSM uses a Fourier representation in time and hence solves for the periodic state directly according to physics of flow. Mathematical tools used here are DISCRETE FOURIER TRANSFORMations. The TSM has been validated with 2D external aerodynamics test cases. These test cases are NACA 64A010 (CT6) and NACA 0012 (CT1 and CT5) PITCHING AIRFOILs. Because of turbulence nature of flow, BALDWIN-LOMAX TURBULENCE MODEL has been used in viscous flow analysis with large oscillation amplitude (CT5 type). The results presented by the TSM are compared with experimental data and the two other methods. By enforcing periodicity and using Fourier representation in time that has a spectral accuracy, tremendous reduction of computational cost has been obtained compared to the conventional time-accurate methods. Results verify the small number of time intervals per pitching cycle (just four time intervals) required to capture the flow physics with small oscillation amplitude (CT6) and large oscillation amplitude (CT5) as compared to two other methods.

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APA: Copy

MOHAGHEGH, M.R., & MALEK JAFARIAN, M.. (2014). PERIODIC UNSTEADY TRANSONIC COMPRESSIBLE FLOW SIMULATION USING FOURIER-BASED ALGORITHM. JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING), 25(2 (10)), 47-63. SID. https://sid.ir/paper/196211/en

Vancouver: Copy

MOHAGHEGH M.R., MALEK JAFARIAN M.. PERIODIC UNSTEADY TRANSONIC COMPRESSIBLE FLOW SIMULATION USING FOURIER-BASED ALGORITHM. JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING)[Internet]. 2014;25(2 (10)):47-63. Available from: https://sid.ir/paper/196211/en

IEEE: Copy

M.R. MOHAGHEGH, and M. MALEK JAFARIAN, “PERIODIC UNSTEADY TRANSONIC COMPRESSIBLE FLOW SIMULATION USING FOURIER-BASED ALGORITHM,” JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING), vol. 25, no. 2 (10), pp. 47–63, 2014, [Online]. Available: https://sid.ir/paper/196211/en

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