Theory and validation of a 2D Finite-Volume integral boundary layer method intended for icing applications

Bayeux, Charlotte; Radenac, Emmanuel; Villedieu, Philippe

doi:10.2514/6.2017-3976

Cited by 3 publications

(5 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The solved equations which were presented are an extension of the 2D system of equations of Bayeux et al 3 The unsteady momentum and kinetic energy equations are written in conservation form. Regarding heat transfer, a 2D-like approach is used to infer the heat transfer coefficient from the dynamics of the boundary The solver is based on the Finite Volume method, using an upwind scheme, which was presented in the present paper.…”

Section: Discussionmentioning

confidence: 99%

“…At least for usual (and simple enough) closure relations, it can be demonstrated that the IBL equations are hyperbolic. 3,4 This allows to define stable spatial discretization schemes. This also makes the Finite Volume Method a good choice for the resolution of the IBL equations.…”

Section: Derivation Of the Model Iia Brief State-of-the-art Of 3dmentioning

confidence: 99%

“…Small discrepancies are often observed in turbulent regime between BLIM2D and SIM2D. 3 However, close to the stagnation point, this discrepancy becomes significant because the momentum thickness is small. This is again a consequence of the acceleration of transition due to roughness.…”

Section: Aoa Chordmentioning

confidence: 99%

“…As a first step, the aforementioned discretization approach was developed and implemented in a 2D prototype of the ONERA's 2D icing suite IGLOO2D. 3 The extension and validation of this integral boundary layer method in three dimensions is presented in the present article. It must be noted that it is common practice in icing codes to weakly couple the inviscid and boundary layer codes (the effect of the boundary layer on the inviscid flow is neglected).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A 3D Finite-Volume Integral Boundary Layer method for icing applications

Bempedelis¹,

Bayeux²,

Blanchard³

et al. 2017

9th AIAA Atmospheric and Space Environments Conference

Self Cite

View full text Add to dashboard Cite

A three-dimensional integral boundary layer code was developed to allow fast computations of boundary layer flows for the purpose of ice accretion modelling. The model is derived in this paper. It is based on a surface Finite-Volume approach. The unsteady equations of momentum deficit and kinetic energy deficit are solved until convergence is reached, preventing from specifying explicitly the stagnation point or separation line. A validation of the code is also presented in the present article. First, the 3D solver is cross-checked against a 2D solver on test cases of self-similar flows and on a NACA0012 configuration. The modelling of the effects of three-dimensionality is also assessed on a self-similar flow test-case. Moreover, the use of unstructured grids is also validated. Finally, an example of the use of the code for the computation of ice accretion is presented.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Derivation Of the Model Iia Brief State-of-the-art Of 3dmentioning

confidence: 99%

Section: Aoa Chordmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A 3D Finite-Volume Integral Boundary Layer method for icing applications

Bempedelis¹,

Bayeux²,

Blanchard³

et al. 2017

9th AIAA Atmospheric and Space Environments Conference

Self Cite

View full text Add to dashboard Cite

show abstract

“…For instance, in the framework of the development of ONERA's icing suites IGLOO2D [7,8] and IGLOO3D [9], which involve a large number of cycles of a flow solver, different solutions are currently being studied to avoid having resource to the use of wall-refined meshes. The first option consists in coupling a boundary layer code [10,11] to an Euler solver; the second being the development of a wall function approach in a Navier-Stokes environment.…”

Section: Introductionmentioning

confidence: 99%

Analytical wall function including roughness corrections

Chedevergne

2018

International Journal of Heat and Fluid Flow

View full text Add to dashboard Cite

Inspired by the work of Aupoix [1, 2] and relying on the analytical wall function of Suga et al. [3], this paper proposes a modified version of the wall model capable of accounting for roughness effects. The thermal correction was enhanced to capture roughness effects due to the increase of the wetted surface of the walls. A derivation of the model adapted to configurations with very large roughness is also proposed. The new model is compared to the former analytical wall function formulation using several rough configurations for which experimental data are available. The validation test cases have been chosen to highlight the improvements brought by the present work.

show abstract