Adaptive Cartesian/prism grid generation and solutions for arbitrary geometries

Deister, Frank; Hirschel, Ernst Heinrich

doi:10.2514/6.1999-782

Cited by 12 publications

(6 citation statements)

References 10 publications

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“…Flow structure-based refinement criteria Secondly, special algorithmic sensors are applied to the fluid to compute criteria for the refinement of a block. In our case, c , the scaled curl of the velocity field, is evaluated to detect shear layers and to control the resolution of high velocity gradients: [63][64][65]…”

Section: 22mentioning

confidence: 99%

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Coupling fully resolved light particles with the lattice Boltzmann method on adaptively refined grids

Werner

Rettinger

Rüde

2021

Numerical Methods in Fluids

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The simulation of geometrically resolved rigid particles in a fluid relies on coupling algorithms to transfer momentum both ways between the particles and the fluid. In this article, the fluid flow is modeled with a parallel lattice Boltzmann method using adaptive grid refinement to improve numerical efficiency. The coupling with the particles is realized with the momentum exchange method.When implemented in plain form, instabilities may arise in the coupling when the particles are lighter than the fluid. The algorithm can be stabilized with a virtual mass correction specifically developed for the lattice Boltzmann method.The method is analyzed for a wide set of physically relevant regimes, varying independently the body-to-fluid density ratio and the relative magnitude of inertial and viscous effects. These studies of a single rising particle exhibit periodic regimes of particle motion as well as chaotic behavior, as previously reported in the literature. The new coupled lattice Boltzmann method is compared with available experimental and numerical results. This serves to validate the presented method and additionally it leads to new physical insight for some of the parameter settings.

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Section: 22mentioning

confidence: 99%

“…The constant r is commonly assigned a value of 2. [63][64][65] A user-defined threshold c enables the adaptive manner of the fluid phase. Refinement is triggered when c > c , while coarsening when c < c c .…”

Section: 22mentioning

confidence: 99%

Coupling fully resolved light particles with the lattice Boltzmann method on adaptively refined grids

Werner

Rettinger

Rüde

2021

Numerical Methods in Fluids

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show abstract

“…Secondly, special algorithmic sensors are applied to the fluid to compute criteria for the refinement of a block. In our case, , the scaled curl of the velocity field, is evaluated to detect shear layers and to control the resolution of high velocity gradients 62,63,64 :…”

Section: Flow Structure-based Refinement Criteriamentioning

confidence: 99%

Coupling fully resolved light particles with the Lattice Boltzmann method on adaptively refined grids

Werner¹,

Rettinger²,

Rüde³

2021

Preprint

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The simulation of geometrically resolved rigid particles in a fluid relies on coupling algorithms to transfer momentum both ways between the particles and the fluid. In this article, the fluid flow is modeled with a parallel Lattice Boltzmann method using adaptive grid refinement to improve numerical efficiency. The coupling with the particles is realized with the momentum exchange method. When implemented in plain form, instabilities may arise in the coupling when the particles are lighter than the fluid. The algorithm can be stabilized with a virtual mass correction specifically developed for the Lattice Boltzmann method. The method is analyzed for a wide set of physically relevant regimes, varying independently the body-to-fluid density ratio and the relative magnitude of inertial and viscous effects. These studies of a single rising particle exhibit periodic regimes of particle motion as well as chaotic behavior, as previously reported in the literature. The new method is carefully compared with available experimental and numerical results. This serves to validate the presented new coupled Lattice Boltzmann method and additionally it leads to new physical insight for some of the parameter settings.

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“…Remark that Combining the above relations with (14) leads to the following additional relation for the interpolation coe cients:…”

Section: ( ) Imentioning

confidence: 99%

“…The Cartesian grid method has been successfully used to perform external ow computation with arbitrarily shaped solid walls, see for instance References [2][3][4][5][6][7][8][9][10] for inviscid ow computation and [11][12][13] for viscous ow computations. More recently, the Cartesian grid method has been used to compute three dimensional ows around complex geometries [14][15][16][17]. A Cartesian grid involves simple cells in interior regions and cutcells near solid walls.…”

Section: Introductionmentioning

confidence: 99%