Time-accurate unsteady aerodynamic and aeroelastic calculations for wings using Euler equations

Guruswamy, Guru P.

doi:10.2514/6.1988-2281

Cited by 29 publications

(5 citation statements)

References 11 publications

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“…Dealing with the coupling is not easy. Many approaches have been suggested, e.g., by [40][41][42][43][44]. The most popular one is based on so-called partitioned approach (procedure).…”

Section: Technique For Dealing With the Coupling Between Wave And Strmentioning

confidence: 99%

“…The partitioned procedures are widely adopted in the aero-elasticity problems and literatures pertaining to this topic in the applications for the aero-elastic dynamics are enormous, e.g., [40][41][42][43]. It has also been applied to problems associated with water waves solved by using other methods, but related literature is limited as quoted above.…”

Section: Technique For Dealing With the Coupling Between Wave And Strmentioning

confidence: 99%

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Improved MLPG_R method for simulating 2D interaction between violent waves and elastic structures

Sriram

2012

Journal of Computational Physics

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This is the submitted version of the paper.This version of the publication may differ from the final published version. Permanent repository link AbstractInteraction between violent water waves and structures is of a major concern and one of the important issues that has not been well understood in marine engineering. This paper will present first attempt to extend the Meshless Local Petrov Galerkin method with Rankine source solution (MLPG_R) for studying such interaction, which solves the Navier-stokes equations for water waves and the elastic vibration equations for structures under wave impact. The MLPG_R method has been applied successfully to modeling various violent water waves and their interaction with rigid structures in our previous publications. To make the method robust for modeling wave elastic-structure interaction (hydroelasticity) problems concerned here, a near-strongly coupled and partitioned procedure is proposed to deal with coupling between violent waves and dynamics of structures. In addition, a novel approach is adopted to estimate pressure gradient when updating velocities and positions of fluid particles, leading to a relatively smoother pressure time history that is crucial for success in simulating problems about wavestructure interaction. The developed method is used to model several cases, covering a range from small wave to violent waves. Numerical results for them are compared with those obtained from other methods and from experiments in literature. Reasonable good agreement between them is achieved.

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“…Dealing with the coupling is not easy. Many approaches have been suggested, e.g., by [40][41][42][43][44]. The most popular one is based on so-called partitioned approach (procedure).…”

Section: Technique For Dealing With the Coupling Between Wave And Strmentioning

confidence: 99%

Section: Technique For Dealing With the Coupling Between Wave And Strmentioning

confidence: 99%

Improved MLPG_R method for simulating 2D interaction between violent waves and elastic structures

Sriram

2012

Journal of Computational Physics

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“…In contrast, the higher-order methods, such as the Euler and Navier-Stokes equations, typically have been applied to the analyses of flexible wings over a limited range of flow conditions. [3][4][5][6][7][8][9][10][11] Only recently, the Euler equations have been used to compute the flutter boundary for the AGARD standard aeroelastic configuration for dynamic response, Wing 445.6. 12,13 In Ref.…”

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confidence: 99%

Calculation of AGARD Wing 445.6 flutter using Navier-Stokes aerodynamics

Elizabeth

John

1993

11th Applied Aerodynamics Conference

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The flutter characteristics of the first AGARD standard aeroelastic configuration for dynamic response, Wing 445.6, are studied using an unsteady Navier-Stokes algorithm in order to investigate a previously noted discrepancy between Euler flutter characteristics and the experimental data. The algorithm, which is a three-dimensional, implicit, upwind Euler/Navier-Stokes code (CFL3D Version 2.1), was previously modified for the time-marching, aeroelastic analysis of wings using the unsteady Euler equations. These modifications include the incorporation of a deforming mesh algorithm and the addition of the structural equations of motion for their simultaneous time integration with the governing flow equations. In this paper, the aeroelastic method is extended and evaluated for applications that use the NavierStokes aerodynamics. The paper presents a brief description of the aeroelastic method and presents unsteady calculations which verify this method for Navier-Stokes calculations. A linear stability analysis and a time-marching aeroelastic analysis are used to determine the flutter characteristics of the isolated 45 swept-back wing. Effects of fluid viscosity, structural damping, and number of modes in the structural model are investigated. For the linear stability analysis, the unsteady generalized aerodynamic forces of the wing are computed for a range of reduced frequencies using the pulse transfer-function approach. The flutter characteristics of the wing are determined using these unsteady generalized aerodynamic forces in a traditional V-g analysis. This stability analysis is used to determine the flutter characteristics of the wing at free-stream Mach numbers of 0.96 and 1.141 using the generalized aerodynamic forces generated by solving the Euler equations and the Navier-Stokes equations. Time-marching aeroelastic calculations are performed at a free-stream Mach number of 1.141 using the Euler and Navier-Stokes equations to compare with the linear V-g flutter analysis method. The V-g analysis, which is used in conjunction with the time-marching analysis, indicates that the fluid viscosity has a significant effect on the

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“…The wing is modeled structurally using the first four natural vibration modes, illustrated in Figs. 10 and 11. Figure 10 shows oblique projections of the natural modes; Fig.…”

Section: -Deg Sweptback Wing Resultsmentioning

confidence: 98%