On sharp-interface dual-grid level-set method for two-phase flow simulation

Shaikh, Javed; Sharma, Atul; Bhardwaj, Rajneesh

doi:10.1080/10407790.2019.1608761

Cited by 12 publications

(6 citation statements)

References 42 publications

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“…Here, for the SI-LSM, a dual-grid methodology [38] is used in which Navier-Stokes equations are solved on a uniform grid size m × n and the level set equations are solved on the double refined uniform grid 2m × 2n . The advection terms in the Eq.…”

Section: Numerical Detailsmentioning

confidence: 99%

“…For a coalescence dynamics in the liquid-air system, the physical properties, dimensional values of characteristic scales, and non-dimensional governing parameters are presented in Table 3. The detailed description of the method along with its performance and computational time for various two-phase problems is presented by Shaikh et al [38]. For the coalescence dynamics of two different liquiddroplets in air, the validation study is demonstrated in Fig.…”

Section: Code Validation and Grid Independence Studymentioning

confidence: 99%

“…The computations are performed using Ghost Fluid Method (GFM) based Sharp-Interface Level Set Method (SI-LSM) in which Sharp Surface-tension Force (SSF) model [26] is implemented for an accurate computation of capillary force along with reduction in spurious currents as well as masserror in the level set method. A dual-grid approach based Sharp-Interface Dual-Grid Level Set Method (SI-DGLSM) [38], proposed originally for a diffuse-interface level set method [39], is used here for studying the physics of droplet coalescence on the planar liquid surface ( Table 2). Using a high-speed camera, our experimental results are used to validate our computational results of isopropanol and glycerol droplets coalescence on the respective liquid pools.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Numerical Detailsmentioning

confidence: 99%

Section: Code Validation and Grid Independence Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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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“…Mesh CMFD Type/Algorithm Methodology Thomas et al [11] Non-uniform grid VOF Richards et al [12] Kobayashi et al [13] Yanke et al [14] Koukouvinis et al [15] Waters et al [16] Sultana et al [17] Jarrahbashi and Sirignano [18] LSM Montazeri and Ward [19] Vilegas et al [20,21] Ferrai et al [22] CLSVOF Popinet [24] AMR VOF Theodorakakos and Bergeles [32] Sussman et al [25] LSM Nourgaliev and Theofanous [26] Antepara et al [33] Hermann [35] RLSG Gada and Sharma [36] and Sheikh et al [37] DGLSM Present work AiMuR SI-LSM are presented in a recent work from our research group; separately for two-phase flow without [9] and with [37] phase change. For two-phase flow without phase change considered here, the various functions used in a LSM and the formulation for sharp as well as diffuse interface LSM are presented in-detail by Sheikh et al [9]; thus, the formulation is presented concisely in separate subsections below.…”

Section: Published Workmentioning

confidence: 99%

“…Using separate grids for flow solver and interface solver, Herrmann [35] proposed a Refined Level Set Grid (RLSG) Method with the purpose of simulating two-phase flows with a highdensity ratio. Using twice the number of grid for the interface as compared to the grid for flow solver, a dual-grid approach was proposed in our research group for DI-LSM [36] that was recently extended for the SI-LSM by Shaikh et al [37].…”

Section: Introductionmentioning

confidence: 99%

Adaptive interface Mesh un-Refinement (AiMuR) based Sharp Interface Level Set Method for Stefan Flows

Patel

Shaikh

Lakdawala

et al. 2019

Proceeding of Proceedings of the 25th National and 3rd International ISHMT-ASTFE Heat and Mass Transfer Conference (IHMTC-2019)

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Adaptive interface-Mesh un-Refinement (AiMuR) based Sharp-Interface Level-Set-Method (SI-LSM) is proposed for both uniform and non-uniform Cartesian-Grid. The AiMuR involves interface location based dynamic un-refinement (with merging of the four control volumes) of the Cartesian grid away from the interface. The un-refinement is proposed for the interface solver only. A detailed numerical methodology is presented for the AiMuR and ghost-fluid method based SI-LSM. Advantage of the novel as compared to the traditional SI-LSM is demonstrated with a detailed qualitative as well as quantitative performance study, involving the SI-LSMs on both coarse grid and fine grid, for three sufficiently different two-phase flow problems: dam break, breakup of a liquid jet and drop coalescence. A superior performance of AiMuR based SI-LSM is demonstrated -the AiMuR on a coarser non-uniform grid (N U AiM uR c ) is almost as accurate as the traditional SI-LSM on a uniform fine grid (U f ) and takes a computational time almost same as that by the traditional SI-LSM on a uniform coarse grid (U c ). The AMuR is different from the existing Adaptive Mesh Refinement (AMR) as the former involves only mesh un-refinement while the later involves both refinement and un-refinement of the mesh. Moreover, the proposed computational development is significant since the present adaptive un-refinement strategy is much simpler to implement as compared to that for the commonly used adaptive refinement strategies. The proposed numerical development can be extended to various other multi-physics, multi-disciplinary and multi-scale problems involving interfaces.

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Adaptive interface-Mesh un-Refinement (AiMuR) based sharp-interface level-set-method for two-phase flow

et al. 2023

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On sharp-interface dual-grid level-set method for two-phase flow simulation

Cited by 12 publications

References 42 publications

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

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

Adaptive interface Mesh un-Refinement (AiMuR) based Sharp Interface Level Set Method for Stefan Flows

Adaptive interface-Mesh un-Refinement (AiMuR) based sharp-interface level-set-method for two-phase flow

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