A volume-of-fluid method for three-dimensional hexagonal solidification processes

Reitzle, Martin; Kieffer-Roth, Corine; Garcke, Harald

doi:10.1016/j.jcp.2017.03.001

Cited by 20 publications

(8 citation statements)

References 41 publications

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“…Main focus from the numerical side is put on the three types of phase change: solidification, sublimation, and evaporation. The introduced new developed methods and approaches are based on works of Reitzle et al [44,45] (solidification and sublimation) as well as Reutzsch et al [49] (evaporation).…”

Section: Methodsmentioning

confidence: 99%

“…Note that terms of higher order were neglected in this formulation. For the precise modelling of the local thermodynamic equilibrium at the interface, the anisotropic surface energy density, and a detailed derivation of all boundary conditions the reader is referred to already mentioned studies [44,45,49].…”

Section: Conservation Equationsmentioning

confidence: 99%

“…The most promising approaches, which are also able to deal with complex three-dimensional structures as well as extreme conditions, are conducted using the Volume-of-Fluid (VOF) method [49,58,78]. The same accounts for investigations of solidification and melting processes, where auspicious results were obtained with this method in [32] and within the SFB-TRR 75 [42,44]. Nevertheless, various other approaches exist, particularly for investigating crystal growth of water [1,8,10,59,67,74].…”

Section: Introductionmentioning

confidence: 99%

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Investigation of the Behaviour of Supercooled Droplets Concerning Evaporation, Sublimation and Freezing Under Different Boundary Conditions

Reutzsch

Kunberger

Reitzle

et al. 2022

Fluid Mechanics and Its Applications

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Phase change processes of supercooled droplets at different boundary conditions are presented. This study is a summary of the current developments within subproject B1 of the SFB-TRR 75 with the focus on evaporation, sublimation, and freezing of supercooled droplets. To this end, new numerical methods to describe the phase transition were developed and novel strategies dealing with the challenges of droplets under extreme conditions are presented. The numerical solution procedure of all phase changes are summarized in a compact way within this work. In order to validate the numerical models, experiments were conducted. For this, new experimental setups and approaches were developed. These comprise a test chamber for optical levitation of supercooled droplets, which is able to trap a droplet by means of a laser beam at subzero temperatures and variable ambient humidity. Comparisons of the numerical simulations and the conducted experiments are presented for several phase change processes. The results are in very good agreement and proof the capability of the methods.

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Section: Methodsmentioning

confidence: 99%

Section: Conservation Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Investigation of the Behaviour of Supercooled Droplets Concerning Evaporation, Sublimation and Freezing Under Different Boundary Conditions

Reutzsch

Kunberger

Reitzle

et al. 2022

Fluid Mechanics and Its Applications

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“…The focus in SP-B1 (see Reutzsch et al in this volume) was therefore on studying evaporation, sublimation and freezing of supercooled water droplets. On the one hand, physically consistent numerical models, capable of calculating all three phase transitions, were developed [43,45]. On the other hand, the numerical work within the program FS3D was validated and compared with different experimental results [44,47].…”

Section: Phase Transition Of Supercooled Dropletsmentioning

confidence: 99%

Collaborative Research on Droplet Dynamics Under Extreme Ambient Conditions

Schulte

Dreizler

Munz

et al. 2022

Fluid Mechanics and Its Applications

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A fundamental understanding of droplet dynamics is important for the prediction and optimization of technical systems involving drops and sprays. The Collaborative Research Center (CRC) SFB-TRR 75 was established in January 2010 to focus on the dynamics of basic drop processes, and in particular on processes involving extreme ambient conditions, for example near thermodynamic critical conditions, at very low temperatures, under the influence of strong electric fields, or in situations involving extreme gradients of the boundary conditions. The goal of the CRC was to gain a profound physical understanding of the essential processes, which is the basis for new analytical and numerical descriptions as well as for improved predictive capabilities. This joint initiative involved scientists at the University of Stuttgart, the TU Darmstadt, the TU Berlin, and the German Aerospace Center (DLR) in Lampoldshausen. This first chapter provides a brief overview of the overall structure of this CRC as well as a summary of some selected scientific achievements of the subprojects involved. For further details the reader is referred to the subsequent chapters of this book related to the individual subprojects.

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“…In this method a general, six-faced polyhedron is constructed for a more realistic approximation of the volume fluxes. More details regarding the new method can be found in Reitzle et al [28]. To compute the surface tension several models are available: the conservative continuous surface stress (CSS) model by Lafaurie et al [16], the continuum surface force model (CSF) by Brackbill et al [2], and the balanced force approach by Popinet [23].…”

Section: Numerical Approachmentioning

confidence: 99%

Towards the Implementation of a New Multigrid Solver in the DNS Code FS3D for Simulations of Shear-Thinning Jet Break-Up at Higher Reynolds Numbers

Ertl

Reutzsch

Nägel

et al. 2018

High Performance Computing in Science and Engineering ' 17

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Liquid jet break-up appears in many technical applications, as well as in nature. It consists of complex physical processes, which happen on very small scales in space and time. This makes them hard to capture by experimental methods; and therefore a prime subject for numerical investigations. The state-of-the-art approach combines the Volume of Fluid (VOF) method with Direct Numerical Simulations (DNS) as employed in the ITLR in-house code Free Surface 3D (FS3D). The simulation of these jets is dependent on very fine grids, with most of the computational costs incurred by solving the Pressure Poisson Equation. In order to simulate larger computational domains, we tried to improve the performance of FS3D by the implementation of a new multigrid solver. For this we selected the solver contained in the UG4 package developed by the Goethe Center for Scientific Computing at the University of Frankfurt. We will show simulations of the primary break-up of shear-thinning liquid jets and explain why larger computational domains are necessary. Results are preliminary. We demonstrate that the implementation of UG4 into FS3D provides a noticeable increase in weak scaling performance, while the change in strong scaling is yet detrimental. We will then discuss ways to further improve these results.

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A volume-of-fluid method for three-dimensional hexagonal solidification processes

Cited by 20 publications

References 41 publications

Investigation of the Behaviour of Supercooled Droplets Concerning Evaporation, Sublimation and Freezing Under Different Boundary Conditions

Investigation of the Behaviour of Supercooled Droplets Concerning Evaporation, Sublimation and Freezing Under Different Boundary Conditions

Collaborative Research on Droplet Dynamics Under Extreme Ambient Conditions

Towards the Implementation of a New Multigrid Solver in the DNS Code FS3D for Simulations of Shear-Thinning Jet Break-Up at Higher Reynolds Numbers

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