A Coupled Level Set and Volume-of-Fluid Method for the Buoyancy-Driven Motion of Fluid Particles

Son, Gihun; Hur, Nahmkeon

doi:10.1080/10407790260444804

Cited by 143 publications

(64 citation statements)

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“…The MAC algorithm 75 is employed to solve the single set of governing equations on a staggered grid with scalars (p,/, and a) located at the cell centers and velocity components (Ṽ ) at the center of the cell faces. The convection and the viscous terms are discretized by a second-order ENO method 63 and central differencing, respectively. In the present work, the time stepping procedure is based on the explicit method to maintain the stability of the solution.…”

Section: Rementioning

confidence: 99%

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Bubble formation and dynamics in a quiescent high‐density liquid

et al. 2015

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Gas bubble formation from a submerged orifice under constant-flow conditions in a quiescent high-density liquid metal, lead-bismuth eutectic (LBE), at high Reynolds numbers was investigated numerically. The numerical simulation was carried out using a coupled level-set and volume-of-fluid method governed by axisymmetric Navier-Stokes equations. The ratio of liquid density to gas density for the system of interest was about 15,261. The bubble formation regimes varied from quasi-static to inertia-dominated and the different bubbling regimes such as period-1 and period-2 with pairing and coalescence were described. The volume of the detached bubble was evaluated for various Weber numbers, We, at a given Bond number, Bo, with Reynolds number Re ) 1. It was found that at high values of the Weber number, the computed detached bubble volumes approached a 3/5 power law. The different bubbling regimes were identified quantitatively from the time evolution of the growing bubble volume at the orifice. It was shown that the growing volume of two consecutive bubbles in the period-2 bubbling regime was not the same whereas it was the same for the period-1 bubbling regime. The influence of grid resolution on the transition from period-1 to period-2 with pairing and coalescence bubbling regimes was investigated. It was observed that the transition is extremely sensitive to the grid size. The transition of period-1 and period-2 with pairing and coalescence is shown on a Weber-Bond numbers map. The critical value of Weber number signalling the transition from period-1 to period-2 with pairing and coalescence decreases with Bond number as We $ Bo 21 , which is shown to be consistent with the scaling arguments. Furthermore, comparisons of the dynamics of bubble formation and bubble coalescence in LBE and water systems are discussed. It was found that in a high Reynolds number bubble formation regime, a difference exists in the transition from period-1 to period-2 with pairing and coalescence between the bubbles formed in water and the bubbles formed in LBE. V C 2015 American Institute of Chemical Engineers AIChE J, 61: 3996-4012, 2015

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Section: Rementioning

confidence: 99%

“…The combined level-set and volume-of-fluid (CLSVOF) method 57,58,[62][63][64] was used to perform the numerical simulations. First, we validate our computational results with the benchmark scaling laws from very low to high flowrate regimes of bubble formation.…”

Section: Introductionmentioning

confidence: 99%

Bubble formation and dynamics in a quiescent high‐density liquid

et al. 2015

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“…The level set method is good for calculating interfacial curvature accurately but mass conservation is not satisfied. Combining with VOF method this error is eliminated as reported by Son and Hur (2002). In the level set method it is easy to handle breaking and merging of the interface.…”

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confidence: 95%

Propulsion and Power Rapid Response Research and Development (R&D) Support. Delivery Order 0010: Propulsion and Power Student and Faculty Research and Technical Report

Hanson¹

2009

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The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Department of Defense, Washington Headquarters Services, Directorate for Information , 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. REPORT DATE (DD-MM-YY)2. REPORT TYPE 3. DATES COVERED (From -To) PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) 8. PERFORMING ORGANIZATION REPORT NUMBERUniversal Technology Corporation 1270 N. Fairfield Road Dayton, OH 45432-2600 SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSORING/MONITORING AGENCY ACRONYM(S)Air SPONSORING/MONITORING AGENCY REPORT NUMBER(S) AFRL-RZ-WP-TR-2009-2089 DISTRIBUTION/AVAILABILITY STATEMENTApproved for public release; distribution unlimited. SUPPLEMENTARY NOTESPAO ABSTRACTResearch was conducted for the Propulsion Directorate's research and development efforts. A variety of technical tasks and operating procedures involving assembly, installation, and operation of test articles and equipment were performed. Proper maintenance and functioning of R&D instrumentation and equipment were accomplished and experiments in a variety of technical areas including turbine engines, hypersonics, and aerospace power were observed/conducted. Basic practical engineering and scientific principles were applied and routine analyses of standard data and other information using formulas and data acquisition systems were performed. The information was transferred/reported via reports, graphs, diagrams, charts, and tables, as appropriate. 1.1 REQUIREMENTS The Statement of Work specified that the contractor shall conduct research for the Propulsion Directorate's research and development efforts. The contractor shall perform a variety of technical tasks and operating procedures involving assembly, installation, and operation of test articles and equipment. The contractor shall ensure proper maintenance and functioning of R&D instrumentation and equipment and observe/conduct experiments in a variety of technical areas including turbine engines, hypersonics, and aerospace power. The contractor shall apply basic practical engineering and scientific principles, and perform routine analyses of standard data and other information using formulas and data acquisition systems. The contractor shall transfer/report the information via reports, graphs, diagrams, charts, and tables, as appropriate. The ov...

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“…On the one hand, the level set method is amenable to computing flows with surface tension effects since the distance function is smooth across the interface, on the other hand, volume conservation for the level set method is not guaranteed, even if the level set advection equation is discretized in conservation form. The coupled level set and volume-of-fluid (CLSVOF) method (Sussman and Puckett, 2000;Son and Hur, 2002;Sussman, 2003;Ménard et al, 2007;Wang et al, 2009) has also been developed. Even though the specific implementations of CLSVOF methods vary, the overriding theme of CLSVOF methods is that they maintain the advantages of both the level set method and the VOF method in simultaneously conserving volume and accurately capturing the interface (Sussman and Puckett, 2000;Wang et al, 2009).…”

Section: Introductionmentioning

confidence: 99%

Incompressible multiphase flow and encapsulation simulations using the moment‐of‐fluid method

Lian

Guo

et al. 2015

Numerical Methods in Fluids

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A moment of fluid method is presented for computing solutions to incompressible multiphase flows in which the number of materials can be greater than two. In this work, the multimaterial moment-of-fluid interface representation technique is applied to simulating surface tension effects at points where three materials meet. The advection terms are solved using a directionally split cell integrated semi-Lagrangian algorithm and the projection method is used to evaluate the pressure gradient force term. The underlying computational grid is a dynamic block structured adaptive grid. The new method is applied to multiphase problems illustrating contact line dynamics, triple junctions, and encapsulation in order to demonstrate its capabilities. Examples are given in 2D, 3D axisymmetric (R-Z), and 3D (X-Y-Z) coordinate systems.

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A Coupled Level Set and Volume-of-Fluid Method for the Buoyancy-Driven Motion of Fluid Particles

Cited by 143 publications

References 20 publications

Bubble formation and dynamics in a quiescent high‐density liquid

Bubble formation and dynamics in a quiescent high‐density liquid

Propulsion and Power Rapid Response Research and Development (R&D) Support. Delivery Order 0010: Propulsion and Power Student and Faculty Research and Technical Report

Incompressible multiphase flow and encapsulation simulations using the moment‐of‐fluid method

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