Multigrid based aerodynamical simulations for the NACA 0012 airfoil

Bortoli, Álvaro Luiz De

doi:10.1016/s0168-9274(01)00081-2

Cited by 8 publications

(12 citation statements)

References 7 publications

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“…To show capabilities of the above scheme and to compare it with other schemes, solution of the compressible transonic flow around 2 and 3D bodies are considered [15]. To assess quality of the agglomeration scheme and its coarsening ratio, a few regular and nonregular boundary shapes are used.…”

Section: Resultsmentioning

confidence: 99%

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Multigrid convergence acceleration for implicit and explicit solution of Euler equations on unstructured grids

Ramezani

Mazaheri

2009

Numerical Methods in Fluids

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SUMMARYThe multigrid method is one of the most efficient techniques for convergence acceleration of iterative methods. In this method, a grid coarsening algorithm is required. Here, an agglomeration scheme is introduced, which is applicable in both cell-center and cell-vertex 2 and 3D discretizations. A new implicit formulation is presented, which results in better computation efficiency, when added to the multigrid scheme. A few simple procedures are also proposed and applied to provide even higher convergence acceleration. The Euler equations are solved on an unstructured grid around standard transonic configurations to validate the algorithm and to assess its superiority to conventional explicit agglomeration schemes. The scheme is applied to 2 and 3D test cases using both cell-center and cell-vertex discretizations.

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Section: Resultsmentioning

confidence: 99%

“…The angle of attack is 1 • and M = 0.85. Results of this test case are reported in many references, as [15]. To investigate grid independency, the original method is first used on two unstructured grids with, respectively, 21 824 and 4731 cells, and results are compared with [16] and Fluent.…”

Section: Verificationmentioning

confidence: 99%

Multigrid convergence acceleration for implicit and explicit solution of Euler equations on unstructured grids

Ramezani

Mazaheri

2009

Numerical Methods in Fluids

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“…The code has been calibrated when computing subsonic and transonic flows around airfoils (De Bortoli, 2002); the structural deflections were compared with analytical values. Since explicit time-stepping schemes are used, the solution algorithm is obviously easily vectorizable and parallelizable.…”

Section: Discussionmentioning

confidence: 99%

Aeroelastic analysis of panels in compressible flows

Bortoli

2005

Journal of Fluids and Structures

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“…For the spatial discretization with preconditioning, the 2nd order central differencing is adopted by Choi and Merkle [23,27] and De Bortoli [28]. The Roe-type flux-difference splitting (FDS) is used by Weiss and Smith [24,[29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Low diffusion E-CUSP scheme with implicit high order WENO scheme for preconditioned Navier–Stokes equations

Shen

Zha

2012

Computers & Fluids

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a b s t r a c tA low diffusion E-CUSP (LDE) scheme for preconditioned Navier-Stokes equations is developed. The LDE scheme with high-order WENO reconstruction and high order difference scheme for viscous terms is used to simulate several flows at various speed from low speed natural convection to supersonic flows. The unfactored implicit Gauss-Seidel relaxation scheme, in which the preconditioned Roe's matrices are used, is used for time integration. Numerical results are presented to show efficiency, accuracy and robustness of the new preconditioning scheme.

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Multigrid based aerodynamical simulations for the NACA 0012 airfoil

Cited by 8 publications

References 7 publications

Multigrid convergence acceleration for implicit and explicit solution of Euler equations on unstructured grids

Multigrid convergence acceleration for implicit and explicit solution of Euler equations on unstructured grids

Aeroelastic analysis of panels in compressible flows

Low diffusion E-CUSP scheme with implicit high order WENO scheme for preconditioned Navier–Stokes equations

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