On sharp-interface level-set method for heat and/or mass transfer induced Stefan problem

Shaikh, Javed; Sharma, Atul; Bhardwaj, Rajneesh

doi:10.1016/j.ijheatmasstransfer.2015.12.074

Cited by 31 publications

(11 citation statements)

References 52 publications

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“…It is more convenient for certain applications [1,7,8] to use front normal speed, S , for propagating the interface rather than a continuum velocity. In such problems, the level set function can be advected using Eq.…”

Section: Level Set Methodsmentioning

confidence: 99%

Level-set Modeling Simulations of Chemical Vapor Infiltration for Ceramic Matrix Composites Manufacturing

Sankaran

Ramanuj

Chong

et al. 2019

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Silicon-carbide (SiC) reinforced ceramic matrix composites (CMCs) are a key enabling technology to reduce fuel consumption and emissions of gas turbine engines. In one manufacturing approach, chemical vapor infiltration (CVI) is limited to only coating SiC fibers. The preform is then fabricated using a lay-up of basic plys or 2-D woven sheets composed of the precoated fibers. At the other extreme, CVI is used to completely densify a 3-D woven preform shaped almost like the gas turbine component itself. The latter approach is more suitable for highly engineered components which sit directly in the gas path of the engine, for example, a high pressure turbine blade. In this case, the geometry is necessarily complex for aerodynamic, stress, and lifing (multi-physics) requirements. Presently, optimizing the CVI-dominated manufacturing approach is largely by trial-and-error. In this work, a first-principles modeling of CVI is performed to realize optimization of SiC/SiC CMC manufacturing. The modeling is based on a level-set framework to describe the interface between the vapor and solid phases. A finite-difference numerical scheme using an immersed boundary method is developed for fixed, structured meshes. Massively parallel direct numerical simulations (DNS) of CVI through fiber-woven geometries are performed using one-step chemistry, and over a range of Thiele moduli. Illustrative applications of the resulting large DNS data sets are given, including the development of fiber-weave specific infiltration models and structure functions for mean-field (porous media) Computational Fluid Dynamics (CFD) simulations of CVI.

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Section: Level Set Methodsmentioning

confidence: 99%

Level-set Modeling Simulations of Chemical Vapor Infiltration for Ceramic Matrix Composites Manufacturing

Sankaran

Ramanuj

Chong

et al. 2019

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“…Capturing approaches use a fixed mesh. This is the case for the level set approach Chen et al [1997], Shaikh et al [2016] and the extended finite element method Merle and Dolbow [2002], Ji et al [2002], He et al [2021].…”

Section: Introductionmentioning

confidence: 99%

The eXtreme Mesh deformation approach (X-MESH) for the Stefan phase-change model

Moës¹,

Remacle²,

Lambrechts³

et al. 2021

Preprint

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The eXtreme MESH deformation approach is a new method to follow sharp interfaces without remeshing and without changing the mesh topology. Moreover, the interface may change topology (nucleation, coalescence, splitting). The key idea is to allow elements to reach zero measure. This permits interface relaying, annihilation and seeding in a time continuous manner. The paper targets the Stefan phase-change model. Several examples demonstrate the capability of the approach.

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“…Martin and Blanchette [29] performed numerical simulations to study the partial coalescence in presence of surfactant. Ghost Fluid Method (GFM), proposed by Fedkiw et al [25,26], models the surface tension more realistically as surface force (used as an interfacial jump conditions while solving the pressure Poisson equation) that leads to a reduction in spurious currents near the interface; reported for the other methods that models the surface tension as a volumetric force [27,28]. Along with the fixed grid methods such are LS, VOF and CLSVOF for the multiphase flow, there are certain methods on moving grids such as arbitrary Lagrangian-Eulerian (ALE) (Kamran et al [30]), purely Lagrangian (Saksono and Peric [31]), and embedded Eulerian-Lagrangian (Jarauta et al [32]).…”

Section: Introductionmentioning

confidence: 99%

Numerical simulations and experiments on droplet coalescence dynamics over a liquid–air interface: mechanism and effect of droplet-size/surface-tension

et al. 2021

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Present study is on partial/complete coalescence dynamics of a droplet (surrounded by air) over a horizontal pool of the same liquid. Experimental and numerical studies are presented for both isopropanol and glycerol droplet of a constant diameter. Numerical study is presented in more detail for the isopropanol droplet to study the effect of diameter ($$D=0.035-6.7 mm$$ D = 0.035 - 6.7 m m ) and surface tension coefficient ($$\gamma =2-200 mN/m$$ γ = 2 - 200 m N / m ) on the coalescence dynamics. For partial coalescence of an isopropanol droplet and complete coalescence of a glycerol droplet, excellent agreement is demonstrated between our numerically and experimentally obtained interface dynamics; and a qualitative discussion on the mechanism of the partial and complete coalescence is presented. Three regimes of partial coalescence − viscous, inertio-capillary and gravity − proposed in the literature for a liquid-liquid system are presented here for the present liquid-air system while studying the effect of diameter of the isopropanol droplet. Probably for the first time in the literature, our numerical study presents a flow and vorticity dynamics based quantitativeevidence of the coalescence-mechanism, analogy with a freely vibrating Spring-Mass-Damper System, the gravity regime for a liquid-gas system, and the effect of surface tension coefficient $$\gamma$$ γ based coalescence dynamics study. The associated novel $$\gamma$$ γ based droplet coalescence regime map presents a critical Ohnesorge number $$Oh_{c}$$ O h c and critical Bond number $$Bo_{c}$$ B o c for a transition from partial to full coalescence; and such critical values are also presented for the transition under effect of the droplet diameter. The critical values based transition boundaries, obtained separately for the varying D and varying $$\gamma$$ γ , are demonstrated to be in excellent agreement with a correlation reported in the literature.

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On sharp-interface level-set method for heat and/or mass transfer induced Stefan problem

Cited by 31 publications

References 52 publications

Level-set Modeling Simulations of Chemical Vapor Infiltration for Ceramic Matrix Composites Manufacturing

Level-set Modeling Simulations of Chemical Vapor Infiltration for Ceramic Matrix Composites Manufacturing

The eXtreme Mesh deformation approach (X-MESH) for the Stefan phase-change model

Numerical simulations and experiments on droplet coalescence dynamics over a liquid–air interface: mechanism and effect of droplet-size/surface-tension

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