A sharp interface model for deterministic simulation of dendrite growth

Ramanuj, Vimal; Sankaran, Ramanan; Radhakrishnan, Balasubramaniam

doi:10.1016/j.commatsci.2019.109097

Cited by 11 publications

(6 citation statements)

References 42 publications

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“…In the present DNS, only a one‐step chemical kinetic model was assumed. Extensive research 11–17 has established the importance of accounting for both homogeneous and heterogeneous reaction timescales. The continuum first‐principle DNS formulation here can readily be extended to include both convective effects and multistep kinetics, developments that will be made in future work.…”

Section: Discussionmentioning

confidence: 99%

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Microstructural and infiltration properties of woven preforms during chemical vapor infiltration

et al. 2022

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Interface‐resolved direct numerical simulations (DNSs) of chemical vapor infiltration (CVI) have been performed over a range of furnace‐operating conditions (Thiele moduli) and for practical woven preform geometries. A level‐set method is used to resolve the geometry of the initial preform at tow scale. The interface between the vapor and solid phase is then evolved in time through the entire CVI densification cycle, fully resolving the time‐varying topology between the two phases. In contrast to previous level‐set methods for CVI simulation, the physical reaction and diffusion processes govern the level‐set movement in the current approach. The surface deposition kinetics is described by the usual one‐step model. In this paper, the DNS data are used to study the evolving porosity, surface‐to‐volume ratio, and flow infiltration properties (permeability and effective diffusivities). Comparisons are made to popularly‐assumed structure functions and the standard, Kozeny–Carmen porous media model commonly employed in modeled CFD simulations of CVI. The virtual DNS experiments reveal a Thiele modulus and preform geometry (fabric layup) dependence which the existing microstructural and infiltration models are not able to describe throughout the entire densification process. The DNS‐based, woven geometry‐specific correlations can be applied directly to mean‐field, furnace‐scale CFD simulations.

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Section: Discussionmentioning

confidence: 99%

“…A ghost fluid‐based immersed boundary method outlined in Ref. [26] is used to populate the grid points across the front. The transport equation is solved using an underrelaxed Jacobi iterative solver.…”

Section: Methodsmentioning

confidence: 99%

Microstructural and infiltration properties of woven preforms during chemical vapor infiltration

et al. 2022

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“…Several propositions were made in the literature [33]. Kobayashi [10] choose to use p φ (φ) = φ 2 (32φ) and g φ (φ) = φ 2 (1φ) 2 for the ice/liquid water system. In this case, the second derivative of the density function f (φ, T ) according to φ (14) is positive only if the parameter a (see ( 2)) fulfills the additional condition (| 12aL(T m T )…”

Section: Choice Of Polynomials P φ (φ) and G φ (φ)mentioning

confidence: 99%

“…The first and second approaches are not completely satisfactory. The major issue of the sharp interface treatment is about the numerical problems due to the discontinuity at the interface which has to be tracked by introducing a scalar function [1,2,3,4]. The Stefan model is also only representative of stable solidification with a plane interface [5].…”

Section: Introductionmentioning

confidence: 99%

“…The Stefan model is also only representative of stable solidification with a plane interface [5]. However, some sharp interface models of solidification are able to provide dendritic structures [6,2]. In the mushy zone representation, a two-phase mixed region appears between the solid and liquid region that is considered as a porous medium.…”

Section: Introductionmentioning

confidence: 99%

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