2019
DOI: 10.3390/fluids4010040
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Unsteady RANS Simulations of Strong and Weak 3D Stall Cells on a 2D Pitching Aerofoil

Abstract: A series of three-dimensional unsteady Reynolds-averaged Navier–Stokes (RANS) simulations are conducted to investigate the formation of stall cells over a pitching NACA 0012 aerofoil. Periodic boundary conditions are applied to the spanwise ends of the computational domain. Several different pitching ranges and frequencies are adopted. The influence of the pitching range and frequency on the lift coefficient (CL) hysteresis loop and the development of leading-edge vortex (LEV) agrees with earlier studies in th… Show more

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Cited by 3 publications
(4 citation statements)
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References 39 publications
(58 reference statements)
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“…A low free-stream turbulence level was applied to match the wind tunnel characteristics, so the stream turbulence intensity was selected as less than 0.1% [19,30]. Also, the SIMPLE algorithm [19,22,[30][31][32][33][34] for pressure-velocity coupling and upwind second-order method was employed to discretize the pressure, momentum and turbulence transport equations. A sufficiently time step of 1 × 10 −4 was used to achieve Courant-Friedrichs-Lewy (CFL) number lower than 1, and the results were converged when the scaled residual was less than 1 × 10 −6 .…”
Section: Numerical Methods and Governing Equationsmentioning
confidence: 99%
“…A low free-stream turbulence level was applied to match the wind tunnel characteristics, so the stream turbulence intensity was selected as less than 0.1% [19,30]. Also, the SIMPLE algorithm [19,22,[30][31][32][33][34] for pressure-velocity coupling and upwind second-order method was employed to discretize the pressure, momentum and turbulence transport equations. A sufficiently time step of 1 × 10 −4 was used to achieve Courant-Friedrichs-Lewy (CFL) number lower than 1, and the results were converged when the scaled residual was less than 1 × 10 −6 .…”
Section: Numerical Methods and Governing Equationsmentioning
confidence: 99%
“…D x denotes the cross-diffusion term of x. The dissipation and the generation terms are defined as follows: [37,38]:…”
Section: Governing Equations and Turbulence Modelmentioning
confidence: 99%
“…These equations are called model equations because they are used to study the properties of solutions to more complex partial differential equations. Thus, the heat equation can be considered as a model for other partial differential equations, e.g., the Navier-Stokes equations [10][11][12]. All considered model equations have analytical solutions under certain boundary and initial conditions.…”
Section: Introductionmentioning
confidence: 99%
“…Of the many existing finite-difference methods for solving partial differential equations, this article describes mainly those methods that have properties characteristic of a whole class of similar methods. Some finite-difference methods useful for solving equations are not given, since they are like those described by Khakimzyanov and Chernyy [12] and Anderson et al [13].…”
Section: Introductionmentioning
confidence: 99%