Feature-driven Cartesian adaptive mesh refinement for vortex-dominated flows

Kamkar, Sean; Wissink, Andrew M.; Sankaran, Venkateswaran; Jameson, Antony

doi:10.1016/j.jcp.2011.04.024

Cited by 70 publications

(34 citation statements)

References 29 publications

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“…In additions, adaptive framework have been introduced (see e.g. [138,15,3,14,143,76,51,19,137,10,92,4,111,41,25,58,128,66] and the references therein).…”

Section: Improvement On Mass Conservationmentioning

confidence: 99%

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries

2012

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We present a review of some of the state-of-the-art numerical methods for solving the Stefan problem and the Poisson and the diffusion equations on irregular domains using (i) the level-set method for representing the (possibly moving) irregular domain's boundary, (ii) the ghost-fluid method for imposing the Dirichlet boundary condition at the irregular domain's boundary and (iii) a quadtree/octree nodebased adaptive mesh refinement for capturing small length scales while significantly reducing the memory and CPU footprint. In addition, we highlight common misconceptions and describe how to properly implement these methods. Numerical experiments illustrate quantitative and qualitative results.

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“…In additions, adaptive framework have been introduced (see e.g. [138,15,3,14,143,76,51,19,137,10,92,4,111,41,25,58,128,66] and the references therein).…”

Section: Improvement On Mass Conservationmentioning

confidence: 99%

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries

2012

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“…The parallel processing of our hybrid model is also realized on modern GPU for efficient simulations. In the future work, we will investigate adaptive mesh refinement [Kamkar et al 2011] in hybrid vertex model to improve the discretization of vorticity especially when the vorticity is intense. (a) (b) (c) (d) Figure 9: Comparison with hairpin removal and reconnection [Chorin 1993].…”

Section: Discussionmentioning

confidence: 99%

“…But it leads to too large number of triangles which slows down the simulation. Rather than using smaller, high-resolution mesh for bringing back the details, Kamkar [Kamkar et al 2011] exploited the feature information extracted from the gradient of velocity to adaptively refine the grid. However, constantly computing the eigenvalue, eigenvector to identify the appearance of vortex is time-consuming.…”

Section: Related Workmentioning

confidence: 99%

Hybrid vortex model for efficiently simulating turbulent smoke

Meng

Liu

Sun

et al. 2014

Proceedings of the 13th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and Its Applications in Industry

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Simulating fluids based on vortex methods can produce attractive visual effects for movies, games and virtual reality systems. However, for any vortex method, such as vortex filament, vortex sheet and vortex particle, it is still a challenging task to efficiently and stably simulate the high-quality smoke, as the motion of each fluid element is influenced by all the vortex elements in the simulation domain and different method has its certain advantages or limitations. In this paper, we introduce the vortex filaments in grids scheme, in which the uniform grids dynamically bridge the vortex filaments and smoke particles for efficient smoke simulation with fine visual effects. We present the novel hybrid vortex model that employs Vortex-in-Cell for efficient smoke simulation with turbulent visual effects. Our model can sensibly estimate the turbulence status of fluid and base on that to utilize the hybrid model that describes the vortex motion for more efficiency. We further break down the overly stretched filaments into vortex particles, with which we obtain the stable smoke simulation with diffusion of vorticity. Our experimental results have showed that the hybrid vortex model are enabled to produce the visual plausibility with effective and stable performance.

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“…Moreover, the use of this field requires continual tuning depending on the flow problem, as studied by S.J. Kamkar [11] The residual velocity criteria presents a better behavior and the thresh- …”

Section: Refinement Criteriamentioning

confidence: 99%

“…Although the large number of numerical studies available, most of them are based on error control technique, applied on a finite element framework. Only few studies have been performed using solution-directed mesh-refinement methods or applied to finite volume framework for different applications [8,9,10,11].…”

Section: Introductionmentioning

confidence: 99%