Solution-adaptive Cartesian cell approach for viscous and inviscid flows

Coirier, William J.; Powell, Kenneth G.

doi:10.2514/3.13171

Cited by 131 publications

(62 citation statements)

References 27 publications

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“…Cartesian cut-cell methods have been very successful for Euler simulations [31][32][33][34] and some viscous simulations. 35,36 This cut cell method has also been applied to simplex meshes. 13,14,37,38 When the constraint of providing a body-fitted grid is removed, the grid generation and adaptation task becomes much simpler.…”

Section: -14mentioning

confidence: 99%

Parallel Anisotropic Tetrahedral Adaptation

Park¹,

Darmofal

2008

46th AIAA Aerospace Sciences Meeting and Exhibit

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An adaptive method that robustly produces high aspect ratio tetrahedra to a general 3D metric specification without introducing hybrid semi-structured regions is presented. The elemental operators and higher-level logic is described with their respective domaindecomposed parallelizations. An anisotropic tetrahedral grid adaptation scheme is demonstrated for 1000-1 stretching for a simple cube geometry. This form of adaptation is applicable to more complex domain boundaries via a cut-cell approach as demonstrated by a parallel 3D supersonic simulation of a complex fighter aircraft. To avoid the assumptions and approximations required to form a metric to specify adaptation, an approach is introduced that directly evaluates interpolation error. The grid is adapted to reduce and equidistribute this interpolation error calculation without the use of an intervening anisotropic metric. Direct interpolation error adaptation is illustrated for 1D and 3D domains.

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Section: -14mentioning

confidence: 99%

Parallel Anisotropic Tetrahedral Adaptation

Park¹,

Darmofal

2008

46th AIAA Aerospace Sciences Meeting and Exhibit

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“…A partial solution to the viscous boundary layer problem is the introduction of anisotropic refinement of the Cartesian cells. Courier has already experimented with this technique in the context of viscous flows, although found that the resulting meshes were sometimes too irregular to compute an accurate solution [5]. As Berger and Aftosmis correctly point out [6], the asymptotic limit of anisotropic refinement of Cartesian cells is not sufficient to produce boundary-layer zoning.…”

Section: Introductionmentioning

confidence: 99%

A Cartesian Grid Method with Transient Anisotropic Adaptation

Ham¹,

Lien²,

Strong³

2002

Journal of Computational Physics

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“…A disadvantage of tetrahedral meshes for high-Reynolds number viscous simulations, such as our wind turbine application, is the relatively low accuracy in boundary layers. A few papers have appeared on adaptive algorithms for fully Cartesian meshes [12,13]. With these meshes special attention should be paid to the cut cells that intersect the bodies.…”

Section: Introductionmentioning

confidence: 99%

Validation of adaptive unstructured hexahedral mesh computations of flow around a wind turbine airfoil

Bijl

Zuijlen

Mameren

2005

Numerical Methods in Fluids

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SUMMARYIn this paper we investigate local adaptive reÿnement of unstructured hexahedral meshes for computations of the ow around the DU91 wind turbine airfoil. This is a 25% thick airfoil, found at the mid-span section of a wind turbine blade. Wind turbine applications typically involve unsteady ows due to changes in the angle of attack and to unsteady ow separation at high angles of attack. In order to obtain reasonably accurate results for all these conditions one should use a mesh which is reÿned in many regions, which is not computationally e cient. Our solution is to apply an automated mesh adaptation technique.In this paper we test an adaptive reÿnement strategy developed for unstructured hexahedral meshes for steady ow conditions. The automated mesh adaptation is based on local ow sensors for pressure, velocity, density or a combination of these ow variables. This way the mesh is reÿned only in those regions necessary for high accuracy, retaining computational e ciency. A validation study is performed for two cases: attached ow at an angle of 6• and separated ow at 12• . The results obtained using our adaptive mesh strategy are compared with experimental data and with results obtained with an equally sized non-adapted mesh. From these computations it can be concluded that for a given computing time, adapted meshes result in solutions closer to the experimental data compared to non-adapted meshes for attached ow. Finally, we show results for unsteady computations.

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Solution-adaptive Cartesian cell approach for viscous and inviscid flows

Cited by 131 publications

References 27 publications

Parallel Anisotropic Tetrahedral Adaptation

Parallel Anisotropic Tetrahedral Adaptation

A Cartesian Grid Method with Transient Anisotropic Adaptation

Validation of adaptive unstructured hexahedral mesh computations of flow around a wind turbine airfoil

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