Application of Space-Time Mapping Analysis Method to Unsteady Nonlinear Gust-Airfoil Interaction Problem

Golubev, Vladimir V.; Rohde, Axel

doi:10.2514/6.2003-3693

Cited by 4 publications

(3 citation statements)

References 9 publications

(21 reference statements)

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“…They argue that the scope of this new method is large and that a wide range of applications can benefit from it, however their work is focused on turbomachinery applications and no attempts are made towards a more general and arbitrary motion. Perhaps the most general implementation of the spacetime method are the works by Hixon [33,34] and Golubev et al [35,36]. Their method allows for a variable timestep size across the fluid domain and no decoupling is made between temporal and spatial integrations, allowing for higherorder schemes to be used in the time integration.…”

Section: Development Of Spacetime Methodsmentioning

confidence: 99%

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A spacetime formulation for unsteady aerodynamics with geometry and topology changes

et al. 2022

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A spacetime formulation is presented to solve unsteady aerodynamic problems involving large deformation or topological change such as store separation, slat and flap deployment or spoiler deflection. This technique avoids complex CFD meshing methods, such as Chimera, by the use of a finite-volume approach both in space and time, and permits a locally varying real timestep. The use of a central-difference scheme in the time direction can yield non-physical transient solutions as a consequence of information travelling backwards in time. Therefore, an upwind formulation is provided and validated against one-dimensional and two-dimensional test cases. A hybrid formulation (central in space, upwind in time) is also given and unsteady cases are computed for a spoiler and spoiler/flap deployment, with all three formulations compared, demonstrating that the use of an upwind time stencil yields more representative physical solutions and improves the rate of convergence.

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Section: Development Of Spacetime Methodsmentioning

confidence: 99%

“…In the specific literature there are many available methods for the computation of the limiters. One of the most well-known slope limiters is due to Van Leer [53], Equation (36), and is the one used in this work.…”

Section: Extrapolation To Face Valuesmentioning

confidence: 99%

A spacetime formulation for unsteady aerodynamics with geometry and topology changes

et al. 2022

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show abstract

“…They argue that the scope of this new method is large and that a wide range of applications can benefit from it, however their work is focused on turbomachinery applications and no attempts made towards a more general and arbitrary motion. Perhaps the most general implementation of the spacetime method are the works by Hixon [50,51] and Golubev et al [52,53]. Their method allows for a variable timestep size across the fluid domain and no decoupling is made between temporal and spatial integrations, allowing for higherorder schemes to be used in the time integration.…”

Section: B Spacetime Methodsmentioning

confidence: 99%

23rd AIAA Computational Fluid Dynamics Conference

Ederra¹,

Rendall²,

Gaitonde³

et al. 2017

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General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms A spacetime framework is presented to solve unsteady aerodynamics problems as an alternative to conventional approaches for complex problems involving large deformation or topological change such as store separation, slat and flap deployment or spoiler deflection. It avoids complex CFD meshing methods, such as Chimera, by the use of a finite-volume approach both in space and time. The use of a central-difference scheme in the time direction yields non-physical transient solutions as a consequence of pressure waves travelling backwards in time. Therefore, an upwind formulation is provided and validated against one-dimensional test cases: a semi-infinite piston and a finite piston with a sharp change in direction. Also a hybrid formulation is given and several two-dimensional unsteady aerodynamics cases are computed with all three formulations and compared, demonstrating that the use of an upwind time stencil yields more representative physical solutions and improves the rate of convergence. In particular, the following problems are presented: a pitching NACA-0012 (periodic); a simple flap deflection; a spoiler deployment; a full landing case with a combination of slat, flap and spoiler deployments along with ground effect; and a case where aerofoils fly in opposite directions at subsonic and supersonic speeds.

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STMA Study of Airfoil Nonlinear Interaction with Unsteady Flow

Golubev¹,

Mankbadi²

2004

10th AIAA/CEAS Aeroacoustics Conference

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Application of Space-Time Mapping Analysis Method to Unsteady Nonlinear Gust-Airfoil Interaction Problem

Cited by 4 publications

References 9 publications

A spacetime formulation for unsteady aerodynamics with geometry and topology changes

A spacetime formulation for unsteady aerodynamics with geometry and topology changes

23rd AIAA Computational Fluid Dynamics Conference

STMA Study of Airfoil Nonlinear Interaction with Unsteady Flow

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