Finite element LES and VMS methods on tetrahedral meshes

John, Volker; Kindl, Adela; Suciu, Carina

doi:10.1016/j.cam.2009.06.005

Cited by 10 publications

(5 citation statements)

References 31 publications

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“…The main difference between LES and VMS is that the latter projects the scales into the function spaces rather than filtering them by spatial averaging. Thus the VMS method avoids the problems of spatial filtering, spatial differentiation in bounded domains as well as with nonconstant filter widths and the choosing the correct boundary conditions for spatially averaging at large scales (John et al, 2010).…”

Section: Variational Multiscale Methodsmentioning

confidence: 99%

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Numerical simulations and observations of the role of katabatic winds in the creation and maintenance of Scharffenbergbotnen blue ice area, Antarctica

et al. 2015

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Abstract. We model the role of katabatic winds in the formation and maintenance of a blue ice area in Scharffenbergbotnen valley, Antarctica, using the finite element code Elmer. The high-horizontal-resolution (50–200 m) numerical simulations of the local wind flow from katabatic wind fronts show high spatial variability in wind-impact patterns and good congruence between places with high near-surface wind speeds and the blue ice area. In addition we perform wind simulations on an altered glacier geometry that resembles the thicker ice cover at the Late Glacial Maximum (LGM). These simulations indicate that the pronounced spatial wind-impact patterns depend on present-day geometry and did not occur during the LGM. This leads to the conclusion that the formation of the inner blue ice area of the Scharffenbergbotnen valley started only after the lowering of the ice surface, i.e. after the LGM. Experiments with smoothed surface topography suggest that detailed positions of the high wind regions, and hence individual blue ice fields, may have varied as the ice sheet lowered. The simulation results obtained with the present-day geometry were fortuitously confirmed by the destruction of a field camp located in a high-wind-speed area and its subsequent redistribution to low-velocity areas. The experiments and the field observations are consistent with localized violent katabatic events rather than synoptic-scale storms, playing the dominant role in the formation and maintenance of this and perhaps many blue ice areas.

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Section: Variational Multiscale Methodsmentioning

confidence: 99%

“…The linearized system is solved using the generalized minimal residual Krylov subspace method (Kelley, 1995) with an incomplete LU (lower upper) factorization of the system matrix deployed as a preconditioning step.…”

Section: Variational Multiscale Methodsmentioning

confidence: 99%

Numerical simulations and observations of the role of katabatic winds in the creation and maintenance of Scharffenbergbotnen blue ice area, Antarctica

et al. 2015

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“…The use of the three-scale projection-based VMS method with adaptive choice of the projection space on tetrahedral grids with the Bernardi-Raugel element [17] is described and studied in [100].…”

Section: Experience In Numerical Simulationsmentioning

confidence: 99%

A Review of Variational Multiscale Methods for the Simulation of Turbulent Incompressible Flows

Ahmed

Rebollo

John

et al. 2015

Arch Computat Methods Eng

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Various realizations of variational multiscale (VMS) methods for simulating turbulent incompressible flows have been proposed in the past fifteen years. All of these realizations obey the basic principles of VMS methods: They are based on the variational formulation of the incompressible Navier-Stokes equations and the scale separation is defined by projections. However, apart from these common basic features, the various VMS methods look quite different. In this review, the derivation of the different VMS methods is presented in some detail and their relation among each other and also to other discretizations is discussed. Another emphasis consists in giving an overview about known results from the numerical analysis of the VMS methods. A few results are presented in detail to highlight the used mathematical tools. Furthermore, the literature presenting numerical studies with the VMS methods is surveyed and the obtained results are summarized.

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“…The main difference between LES and VMS is that the latter projects the scales into the function spaces rather than filtering them by spatial averaging. Thus the VMS-method avoids the problems of spatial filtering, spatial differentiation in bounded domains as well as with non-constant filter widths, and the issue of choosing the correct boundary conditions for spatially averaging at large scales (John et al, 2010).…”

Section: Variational Multiscale Methodsmentioning

confidence: 99%

Interaction of katabatic wind and local surface mass balance at Scharffenbergbotnen Blue Ice Area, Antarctica

Zwinger¹,

Malm²,

Schäfer³

et al. 2015

Preprint

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Abstract. We model the wind causing the formation of a blue ice area in Scharffenbergbotnen valley, Antarctica, using the finite element code Elmer. The high resolution numerical simulations of the local wind flow from katabatic wind fronts show highly spatially variable wind impact patterns and good congruence between places of enhanced wind-impact and the blue ice area. The results were fortuitously confirmed by the destruction of a field camp located in a high wind speed area and its subsequent redistribution to low velocity areas. In addition we perform wind simulations on an altered glacier geometry that resembles the thicker ice cover at the Late Glacial Maximum (LGM). These simulations indicate that the pronounced spatial wind-impact patterns depend on present day geometry and did not occur during the LGM. This leads to the conclusion that the formation of the blue ice area that is situated more inside the valley of Scharffenbergbotnen started only after the lowering of the ice surface, later than the LGM. Experiments with smoothed surface topography suggest that detailed positions of the high wind regions and hence individual blue ice fields, may have varied as the ice sheet lowered. The experiments and the field observations are consistent with localized violent katabatic events, rather than synoptic scale storms, playing the dominant role in the formation and maintenance of this, and perhaps many blue ice areas.

show abstract

Finite element LES and VMS methods on tetrahedral meshes

Cited by 10 publications

References 31 publications

Numerical simulations and observations of the role of katabatic winds in the creation and maintenance of Scharffenbergbotnen blue ice area, Antarctica

Numerical simulations and observations of the role of katabatic winds in the creation and maintenance of Scharffenbergbotnen blue ice area, Antarctica

A Review of Variational Multiscale Methods for the Simulation of Turbulent Incompressible Flows

Interaction of katabatic wind and local surface mass balance at Scharffenbergbotnen Blue Ice Area, Antarctica

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