Grid adaptation for the 2-D Euler equations

Dannenhoffer, John F.; Baron, Judson R.

doi:10.2514/6.1985-484

Cited by 42 publications

(20 citation statements)

References 3 publications

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“…At present, new mesh point distributions are generated by combining all previous mesh points with a set of newly generated points. The distribution of these new mesh points is determined according to a criterion developed by Dannenhoffer and Baron [15]. The first undivided difference of the density along a mesh edge is examined.…”

Section: Adaptive Meshing Strategymentioning

confidence: 99%

Accurate multigrid solution of the Euler equations on unstructured and adaptive meshes

Mavriplis

1988

1st National Fluid Dynamics Conference

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A method for accurately solving inviscid compressible flow in the subcritical and supercritical regimes about complex configurations is presented. The method is based on the use of unstructured triangular meshes in two dimensions, and special emphasis is placed on the accuracy and efficiency of the solutions. High accuracy is achieved by careful scaling of the artificial dissipation tenns, and by refonnulating the inner and outer boundary conditions for both the convective and dissipative operators. An adaptive grid refinement strategy is presented which enhances the solution accuracy for complex flows. When coupled with an unstructured multigrid algorithm, this method is shown to produce an efficient solver for flows about arbitrary configurations.

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Section: Adaptive Meshing Strategymentioning

confidence: 99%

Accurate multigrid solution of the Euler equations on unstructured and adaptive meshes

Mavriplis

1988

1st National Fluid Dynamics Conference

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“…So, its no more valid for steady ows because the convergence is not guaranteed. In case of 2D steady ows, Dannenho er and Baron [16] have tried to combine AMR and multigrid methods. In fact, multigrid methods aim at coupling and accelerating di erent grid resolutions for steady ows.…”

Section: Multigrid and Amrmentioning

confidence: 99%

A multigrid adaptive mesh refinement strategy for 3D aerodynamic design

Jouhaud

Montagnac

Tourrette

2005

Int. J. Numer. Meth. Fluids

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SUMMARYPresently, improving the accuracy and reducing computational costs are still two major CFD objectives often considered incompatible. This paper proposes to solve this dilemma by developing an adaptive mesh reÿnement method in order to integrate the 3D Euler and Navier-Stokes equations on structured meshes, where a local multigrid method is used to accelerate convergence for steady compressible ows. The time integration method is a LU-SGS method (AIAA J 1988; 26:1025-1026) associated with a spatial Jameson-type scheme (Numerical solutions of the Euler equations by ÿnite volume methods using Runge-Kutta time-stepping schemes. AIAA Paper, 81-1259Paper, 81- , 1981. Computations of turbulent ows are handled by the standard k-! model of Wilcox (AIAA J 1994; 32:247-255). A coarse grid correction, based on composite residuals, has been devised in order to enforce the coupling between the di erent grid levels and to accelerate the convergence. The e ciency of the method is evaluated on standard 2D and 3D aerodynamic conÿgurations.

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“…A brief summary of the last year's efforts is described in Sections 3,4 and 5, and some details for several tasks are included in attached Appendices.…”

Section: Research Objectives and Tasksmentioning

confidence: 99%

“…Since the fluxes ':hrough the The other boundary condition type is a interface (for example [2][3][4][5] cancel in the far field condition.…”

Section: Berger and Jameson T2j Have Used Localmentioning

confidence: 99%