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Optimal disturbance...
Optimal disturbances of flow above a flat plate with an elliptic leading edge
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- Monokrousos, Antonios (författare)
- KTH,Linné Flow Center, FLOW
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- Brandt, Luca (författare)
- KTH,Linné Flow Center, FLOW
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- Mavriplis, Catherine (författare)
- KTH,Linné Flow Center, FLOW
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visa fler...
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- Henningson, Dan S. (författare)
- KTH,Linné Flow Center, FLOW
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visa färre...
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(creator_code:org_t)
- International Symposium on Turbulence and Shear Flow Phenomena, TSFP, 2011
- 2011
- Engelska.
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Ingår i: 7th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2011. - : International Symposium on Turbulence and Shear Flow Phenomena, TSFP.
- Relaterad länk:
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https://urn.kb.se/re...
Abstract
Ämnesord
Stäng
- Adjoint-based iterative methods are employed in order to compute linear optimal disturbances in the case of a spatially growing boundary layer around an elliptic leading edge. The Lagrangian approach is used where an objective function is chosen and constraints are assigned. The optimization problem is solved using power iterations combined with a matrix-free formulation, where the state is marched forward in time with a standard DNS solver and backward with the adjoint solver until a chosen criterion is fulfilled. We consider the global and the upstream localized optimal initial condition leading to the largest possible energy amplification at time T . We find that the two-dimensional initial condition with the largest potential for growth is a Tollmien-Schichting-like wave packet that includes the Orr mechanism and is located inside the boundary layer, downstream of the leading edge. The localized optimal initial condition method allows a more precise systematic study of leading edge effects; we propose it a new method to study receptivity. We find the two-dimensional disturbances are inefficient at triggering an unstable eigenmode. The three-dimensional disturbances exploit the lift up mechanism; both the global and upstream localized disturbances give significant growth. These findings support the hypothesis of high receptivity to three-dimensional disturbances.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Atmospheric thermodynamics
- Boundary layers
- Iterative methods
- Lagrange multipliers
- Turbulence
- Energy amplification
- Initial conditions
- La-grangian approaches
- Objective functions
- Optimal disturbances
- Optimization problems
- Three-dimensional disturbances
- Turbulence and shears
- Shear flow
Publikations- och innehållstyp
- ref (ämneskategori)
- kon (ämneskategori)