An anisotropic adaptive finite element algorithm for transonic viscous flows around a wing

Hassan, Wissam; Picasso, Marco

doi:10.1016/j.compfluid.2015.01.002

Cited by 5 publications

(4 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In fact, transonic flows are used for large civil aircraft and other flight objects. The implementation of computational methods and deep understandings of physical nature of the transonic flow are always needed [6,7]. The above analysis for subsonic-transonic flow and supersonic-transonic flow allows drawing the following conclusions.…”

Section: Discussionmentioning

confidence: 99%

Calculation of transonic flows around profiles with blunt and angled leading edges

Ngoc

Hùng

2016

Vietnam J. Mech.

View full text Add to dashboard Cite

Transonic flow is a mixed flow of subsonic and supersonic regions. Because of this mixture, the solution of transonic flow problems is obtained only when solving the differential equations of motion with special treatments for the transition from subsonic region to supersonic region and vice versa. We built codes solving the full potential equation and Euler equations by applying the finite difference method and finite volume method, and also associated with software Fluent to consider the viscous effects. The analysis of results calculated for cases of transonic flow over profiles with blunt and angled leading edges shows more clearly the physical nature of the gas - solid interaction at leading edges in the mixed flow and the optimal application of each profile in transonic flows.

show abstract

Section: Discussionmentioning

confidence: 99%

Calculation of transonic flows around profiles with blunt and angled leading edges

Ngoc

Hùng

2016

Vietnam J. Mech.

View full text Add to dashboard Cite

show abstract

“…In [121] an adjointfree approach is introduced based on specific entropy variables. In [122], an extension of error estimates for elliptic problems was derived for Navier-Stokes equations. In [72,123,41], an approach coupling isotropic adjoint-based estimates and interpolation error is proposed.…”

Section: Mesh Adaptation For Turbulent Navier-stokes Equationsmentioning

confidence: 99%

“…In particular, handling high Reynolds number (several millions) compressible flow simulations require suitable adaptation of the boundary layer mesh which remains a crucial open problem as it influences all the downstream flow. Indeed, most of the previous approaches keep a frozen boundary layer mesh while adapting only the far field [122,123]. Other approaches rely on a completely unstructured boundary layer [54,73,94,76].…”

Section: Mesh Adaptation For Turbulent Navier-stokes Equationsmentioning

confidence: 99%

A decade of progress on anisotropic mesh adaptation for computational fluid dynamics

Alauzet

Loseille

2016

Computer-Aided Design

156

View full text Add to dashboard Cite

Please cite this article as: Alauzet F, Loseille A. A decade of progress on anisotropic mesh adaptation for computational fluid dynamics. Computer-Aided Design (2015), http://dx. AbstractIn the context of scientific computing, the mesh is used as a discrete support for the considered numerical methods. As a consequence, the mesh greatly impacts the e ciency, the stability and the accuracy of numerical methods. The goal of anisotropic mesh adaptation is to generate a mesh which fits the application and the numerical scheme in order to achieve the best possible solution. It is thus an active field of research which is progressing continuously. This review article proposes a synthesis of the research activity of the INRIA Gamma3 team in the field of anisotropic mesh adaptation applied to inviscid flows in computational fluid dynamics since 2000. It shows the evolution of the theoretical and numerical results during this period. Finally, challenges for the next decade are discussed.

show abstract

“…Different strategies can be found in the literature. Most of them are related to high order elements (see [2,3,4]), parallel computing (see [5,6,7,8]) or, in particular, adaptive methods (see [9,10,11,12]). …”

Section: Introductionmentioning

confidence: 99%

Variational Multiscale error estimator for anisotropic adaptive fluid mechanic simulations: Application to convection–diffusion problems

Bazile

Hachem

Larroya-Huguet

et al. 2018

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

In this work, we present a new a posteriori error estimator based on the Variational Multiscale method for anisotropic adaptive fluid mechanics problems. The general idea is to combine the large scale error based on the solved part of the solution with the sub-mesh scale error based on the unresolved part of the solution. We compute the latter with two different methods: one using the stabilizing parameters and the other using bubble functions. We propose two different metric tensors H iso and H new aniso . They are both defined by the recovered Hessian matrix of the solution and rely on the sub-grid scale error estimator. Thus, we develop a new anisotropic local error indicator and we test it for mesh adaptation on convection-dominated benchmarks in 2D and 3D. The results show that the proposed error indicator leads to enhanced and accurate solutions while using a drastically reduced number of elements.

show abstract

An anisotropic adaptive finite element algorithm for transonic viscous flows around a wing

Cited by 5 publications

References 36 publications

Calculation of transonic flows around profiles with blunt and angled leading edges

Calculation of transonic flows around profiles with blunt and angled leading edges

A decade of progress on anisotropic mesh adaptation for computational fluid dynamics

Variational Multiscale error estimator for anisotropic adaptive fluid mechanic simulations: Application to convection–diffusion problems

Contact Info

Product

Resources

About