Investigation of the flow structure around a rapidly pitching airfoil

“…Next, we consider laminar flow around a rapidly pitching airfoil and compare discontinuous Galerkin spectral/hp element results against the finite volume results obtained in ( [33]). In particular, we consider a NACA 0015 airfoil pitching upwards about a fixed axis at a constant rate from zero incidence to a maximum angle of attack of approximately 60 degrees.…”

Section: Fast-pitching Airfoilmentioning

confidence: 99%

“…In ( [33]) a similar simulation was obtained using a grid fixed to the airfoil by employing an appropriate transformation and discretizing the modified compressible Navier-Stokes equations using the implicit approximate factorization of ( [34]). A typical grid used in ( [33]) involved 203 × 101 points.…”

Section: Fast-pitching Airfoilmentioning

confidence: 99%

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Large-scale simulations are often under-resolved at some level, but they are still useful in extracting both qualitative and quantitative information about the flow. In order to use such results effectively we need to characterize the numerical uncertainty of under-resolved simulations. However, different numerical methods exhibit different behavior, and spectral-based methods in particular may over-predict fluctuations both in amplitude and frequency due to their very low artificial dissipation in contrast with finite differences. In this chapter, we provide insight into under-resolved spectral simulations and document several diagnostic signs of under-resolution for spectral/hp element methods. We first review the state-of-the art in direct numerical simulation and present a new class of spectral methods on unstructured grids for handling complex-geometry compressible and incompressible flows. We then focus on the effects of under-resolving the nonlinear contributions, and finally we present prototype cases for both transitional and turbulent flows.

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Spectral Element andhpMethods

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Karniadakis

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Spectral/ hp element methods provide high‐order discretization, which is essential in the longtime integration of advection‐diffusion systems. Here we review the main formulations for simulations of incompressible, compressible, and plasma viscous flows, and present several examples with some emphasis on moving domains. The first generation of (nodal) spectral elements was limited to relatively simple geometries and smooth solutions. However, the new generation of spectral/ hp elements, consisting of both nodal and modal forms, can handle very complex geometries by using unstructured grids and can capture strong shocks by employing discontinuous Galerkin methods. New implementation approaches have also been developed on the basis of multilevel parallel algorithms that allow dynamic p‐refinement at constant wall clock time. After two decades of intense developments, spectral element and hp methods are mature and efficient to be used effectively in applications of industrial complexity. They provide the capabilities that standard finite element and finite volume methods do, but, in addition, they exhibit high‐order accuracy and error control.

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Investigation of the flow structure around a rapidly pitching airfoil

Cited by 226 publications

References 16 publications

Downwash measurements on a pitching canard-wing configuration

Downwash measurements on a pitching canard-wing configuration

Under-resolution and Diagnostics in Spectral Simulations of Complex-Geometry Flows

Spectral Element andhpMethods

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