Implementation and Validation of the Spalart-Allmaras Turbulence Model in Parallel Environment

SUMMARYA numerical continuation method for the compressible Reynolds-Averaged Navier-Stokes equation with the Spalart-Allmaras turbulence model is presented and applied to the flow around a 2D airfoil. Using continuation methods it is possible to study the steady flow states of a system as a parameter such as angle of attack is varied. This approach allows unstable solutions to be calculated, which are important for understanding the nonlinear dynamics of the system. Furthermore, this method can be used to find any multivalued solutions that exist at a single parameter value. The eigenvalues of the system are calculated using the Cayley transform to precondition the eigenvalue solver ARPACK. The eigenvalues are important as they show the stability of the solutions as well as accurately detect parameter values at which bifurcations take place.

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“…The (∇¯ ) 2 term can cause numerical problems for implicit solvers [15]; hence, the diffusion term is rearranged using the following identity:…”

Section: Spalart-allmaras Turbulence Modelmentioning

confidence: 99%

Numerical continuation of high Reynolds number external flows

Wales¹,

Gaitonde²,

Jones³

et al. 2010

Numerical Methods in Fluids

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“…High performance of NES was systematically demonstrated by testing it a wide range of aerodynamic configurations of different complexity: from one-element 2D airfoils through transporttype supercritical wings up to full wing-body configurations [11,12,18]. The results by the code NES demonstrated a high accuracy of drag prediction (within several counts) in the whole range of flight conditions.…”

Section: Analysis Of Resultsmentioning

confidence: 88%

“…The code ensures high accuracy of the Navier-Stokes computations and high robustness for a wide range of flows and geometrical configurations. The high performance of NES was systematically demonstrated by testing it in a wide range of aerodynamic configurations of different complexity: from one-element 2D airfoils through transporttype supercritical wings and ARA M100 wing-body geometry [11] to wing-body-nacelle-pylon DLR-F6 aircraft configuration [12].…”

Section: Statement Of the Problemmentioning

confidence: 99%

Multiconstrained aerodynamic design of business jet by CFD driven optimization tool

Peigin

Epstein

2008

Aerospace Science and Technology

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“…The OPTIMAS optimizations conducted here cost about three orders-ofmagnitude more than an objective-function evaluation. For more information on OPTIMAS and NES, see References [2][3][4][5].…”

Section: Optimization and Analysis Methodsmentioning

confidence: 99%

A Pilot Project in Preparation of an Aerodynamic Optimization Workshop with Lessons Learned

Vassberg

Jameson

Peigin

et al. 2008

26th AIAA Applied Aerodynamics Conference

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This paper is an addendum to a recent publication on a Comparative Study of 3D Wing Drag Minimization by Different Optimization Techniques; with a focus on a path forward towards the development of a larger-scale Aerodynamic Optimization Workshop. Three independent optimization efforts were conducted concurrently, each without knowledge of the others' results. The resulting "optimal" wings were then cross analyzed by each of the CFD methods used in the optimization phase, and by a fourth CFD method which was not used to develop any of the geometries. The incremental improvements, as predicted by these cross analyses, are compared to establish a level of uncertainty in the performance improvements and identify any unusual trends. The baseline geometry of this pilot project is the DPW-W1 wing, which was placed into the public domain by the Drag Prediction Workshop as a test case for the third workshop of June 2006. Lessons learned from this collaborative effort are documented and suggestions are provided to aid in the preparation of a possible future workshop on aerodynamic shape optimization.

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Implementation and Validation of the Spalart-Allmaras Turbulence Model in Parallel Environment

Cited by 21 publications

References 10 publications

Numerical continuation of high Reynolds number external flows

Numerical continuation of high Reynolds number external flows

Multiconstrained aerodynamic design of business jet by CFD driven optimization tool

A Pilot Project in Preparation of an Aerodynamic Optimization Workshop with Lessons Learned

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