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

Li, Guibo; Lian, Yongsheng; Guo, Yisen; Jemison, Matthew; Sussman, Mark; Helms, Trevor; Arienti, Marco

doi:10.1002/fld.4062

Title: Incompressible multiphase flow and encapsulation simulations using the moment-of-fluid method

Abstract

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 two-dimensional, three-dimensional axisymmetric (R–Z), and three-dimensional (X–Y–Z) coordinate systems.

Authors:

Li, Guibo ^[1]; Lian, Yongsheng ^[1]; Guo, Yisen ^[1]; Jemison, Matthew ^[2]; Sussman, Mark ^[2]; Helms, Trevor ^[2]; Arienti, Marco ^[3]

Univ. of Louisville, KY (United States). Mechanical Engineering Dept.
Florida State Univ., Tallahassee, FL (United States). Dept. of Mathematics
Sandia National Lab. (SNL-CA), Livermore, CA (United States)

Publication Date:: Tue Jul 14 00:00:00 EDT 2015

Research Org.:: Sandia National Lab. (SNL-CA), Livermore, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1496975

Report Number(s):: SAND-2019-1362J
Journal ID: ISSN 0271-2091; 672392

Grant/Contract Number:: AC04-94AL85000

Resource Type:: Accepted Manuscript

Journal Name:: International Journal for Numerical Methods in Fluids

Additional Journal Information:: Journal Volume: 79; Journal Issue: 9; Journal ID: ISSN 0271-2091

Publisher:: Wiley

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; multi-phase flow; Moment of fluid method; Interface

Citation Formats


                    Li, Guibo, Lian, Yongsheng, Guo, Yisen, Jemison, Matthew, Sussman, Mark, Helms, Trevor, and Arienti, Marco. Incompressible multiphase flow and encapsulation simulations using the moment-of-fluid method.  United States: N. p., 2015. 
Web.  doi:10.1002/fld.4062.

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                    Li, Guibo, Lian, Yongsheng, Guo, Yisen, Jemison, Matthew, Sussman, Mark, Helms, Trevor, & Arienti, Marco. Incompressible multiphase flow and encapsulation simulations using the moment-of-fluid method.  United States.  https://doi.org/10.1002/fld.4062

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                    Li, Guibo, Lian, Yongsheng, Guo, Yisen, Jemison, Matthew, Sussman, Mark, Helms, Trevor, and Arienti, Marco. Tue .  
"Incompressible multiphase flow and encapsulation simulations using the moment-of-fluid method".  United States.  https://doi.org/10.1002/fld.4062.  https://www.osti.gov/servlets/purl/1496975.

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@article{osti_1496975,

  title        = {Incompressible multiphase flow and encapsulation simulations using the moment-of-fluid method},

  author       = {Li, Guibo and Lian, Yongsheng and Guo, Yisen and Jemison, Matthew and Sussman, Mark and Helms, Trevor and Arienti, Marco},

  abstractNote = {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 two-dimensional, three-dimensional axisymmetric (R–Z), and three-dimensional (X–Y–Z) coordinate systems.},

  doi          = {10.1002/fld.4062},

  journal      = {International Journal for Numerical Methods in Fluids},

  number       = 9,

  volume       = 79,

  place        = {United States},

  year         = {Tue Jul 14 00:00:00 EDT 2015},

  month        = {Tue Jul 14 00:00:00 EDT 2015}

}

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Title: Incompressible multiphase flow and encapsulation simulations using the moment-of-fluid method

Abstract

Citation Formats

On The Instability Of Jets journal, November 1878

Adaptive moment-of-fluid method journal, May 2009

A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows journal, June 2012

A comparative study of interface reconstruction methods for multi-material ALE simulations journal, April 2010

Breakup of Round Nonturbulent Liquid Jets in Gaseous Crossflow journal, December 2004

A method for avoiding the acoustic time step restriction in compressible flow journal, June 2009

A parallelized, adaptive algorithm for multiphase flows in general geometries journal, February 2005

Newtonian jet stability journal, July 1966

A second-order projection method for the incompressible navier-stokes equations journal, December 1989

Phase field computations for ternary fluid flows journal, September 2007

A 3D unsplit-advection volume tracking algorithm with planarity-preserving interface reconstruction journal, December 2006

Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations journal, November 1988

Coupling level set/VOF/ghost fluid methods: Validation and application to 3D simulation of the primary break-up of a liquid jet journal, May 2007

A coupled level set and volume-of-fluid method for sharp interface simulation of plunging breaking waves journal, March 2009

Multi-material interface reconstruction on generalized polyhedral meshes journal, October 2007

Reconstruction of multi-material interfaces from moment data journal, May 2008

Production of secondary drops during the single water drop impact onto a plane water surface journal, October 2006

An Improved Sharp Interface Method for Viscoelastic and Viscous Two-Phase Flows journal, December 2007

Second-order accurate volume-of-fluid algorithms for tracking material interfaces journal, September 2004

A volume-tracking method for incompressible multifluid flows with large density variations journal, August 1998

A continuum method for modeling surface tension journal, June 1992

Level Set Methods: An Overview and Some Recent Results journal, May 2001

Experiments on droplet collisions, bounce, coalescence and disruption journal, January 1997

Conservative Volume-of-Fluid method for free-surface simulations on Cartesian-grids journal, April 2010

Breakup of Liquid Sheets and Jets book, January 2003

The impact of a single drop on a wetted solid surface journal, April 1997

Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry journal, August 2007

A Stable and Efficient Method for Treating Surface Tension in Incompressible Two-Phase Flow journal, January 2009

Coalescence and separation in binary collisions of liquid drops journal, December 1990

The recoiling of liquid droplets upon collision with solid surfaces journal, March 2001

An accurate conservative level set/ghost fluid method for simulating turbulent atomization journal, September 2008

A Coupled Level set and Volume-Of-Fluid Method for the Buoyancy-Driven Motion of Fluid Particles journal, December 2002

The moment-of-fluid method in action journal, October 2009

Collision between immiscible drops with large surface tension difference: diesel oil and water journal, July 2006

A numerical study on the mechanism of splashing journal, October 1999

Volume of fluid (VOF) method for the dynamics of free boundaries journal, January 1981

DROP IMPACT DYNAMICS: Splashing, Spreading, Receding, Bouncing… journal, January 2006

An improved level set method for incompressible two-phase flows journal, June 1998

A numerical method for interface reconstruction of triple points within a volume tracking algorithm journal, December 2008

An embedded level set method for sharp-interface multiphase simulations of Diesel injectors journal, February 2014

A 3D Unsplit Forward/Backward Volume-of-Fluid Approach and Coupling to the Level Set Method journal, January 2013

A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles journal, May 2003

A Numerical Method for the Incompressible Navier-Stokes Equations Based on an Approximate Projection journal, March 1996

An Adaptive Level Set Approach for Incompressible Two-Phase Flows journal, January 1999

Application of a level set method for simulation of droplet collisions journal, September 2005

Compressible, multiphase semi-implicit method with moment of fluid interface representation journal, December 2014

Filament capturing with the Multimaterial Moment-of-Fluid method journal, March 2015

A second-order accurate material-order-independent interface reconstruction technique for multi-material flow simulations journal, February 2009

Volume-of-fluid algorithm with different modified dynamic material ordering methods and their comparisons journal, May 2010

Interface reconstruction with least-square fit and split Eulerian-Lagrangian advection journal, January 2003

Drop formation at the surface of plane turbulent liquid jets in still gases journal, September 1999

A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows journal, August 2000

Material order-independent interface reconstruction using power diagrams journal, January 2008

Thickness-based adaptive mesh refinement methods for multi-phase flow simulations with thin regions journal, July 2014

A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow journal, September 1994

A hybrid level set-volume constraint method for incompressible two-phase flow journal, August 2012

A numerical investigation of central binary collision of droplets journal, June 2009

Towards an Efficient, High-Fidelity Methodology for Liquid Jet Atomization Computations conference, June 2012

A control volume finite element method for three‐dimensional three‐phase flows journal, January 2020

A Hierarchical Space-Time Spectral Element and Moment-of-Fluid Method for Improved Capturing of Vortical Structures in Incompressible Multi-phase/Multi-material Flows journal, November 2019

Numerical simulatim of rainwater accumulation and flow characteristics over windshield of high-speed trains journal, January 2020

Investigation of drop impact on dry and wet surfaces with consideration of surrounding air journal, July 2016

High-speed oblique drop impact on thin liquid films journal, August 2017

On The Instability Of Jets
journal, November 1878

Adaptive moment-of-fluid method
journal, May 2009

A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows
journal, June 2012

A comparative study of interface reconstruction methods for multi-material ALE simulations
journal, April 2010

Breakup of Round Nonturbulent Liquid Jets in Gaseous Crossflow
journal, December 2004

A method for avoiding the acoustic time step restriction in compressible flow
journal, June 2009

A parallelized, adaptive algorithm for multiphase flows in general geometries
journal, February 2005

Newtonian jet stability
journal, July 1966

A second-order projection method for the incompressible navier-stokes equations
journal, December 1989

Phase field computations for ternary fluid flows
journal, September 2007

A 3D unsplit-advection volume tracking algorithm with planarity-preserving interface reconstruction
journal, December 2006

Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
journal, November 1988

Coupling level set/VOF/ghost fluid methods: Validation and application to 3D simulation of the primary break-up of a liquid jet
journal, May 2007

A coupled level set and volume-of-fluid method for sharp interface simulation of plunging breaking waves
journal, March 2009

Multi-material interface reconstruction on generalized polyhedral meshes
journal, October 2007

Reconstruction of multi-material interfaces from moment data
journal, May 2008

Production of secondary drops during the single water drop impact onto a plane water surface
journal, October 2006

An Improved Sharp Interface Method for Viscoelastic and Viscous Two-Phase Flows
journal, December 2007

Second-order accurate volume-of-fluid algorithms for tracking material interfaces
journal, September 2004

A volume-tracking method for incompressible multifluid flows with large density variations
journal, August 1998

A continuum method for modeling surface tension
journal, June 1992

Level Set Methods: An Overview and Some Recent Results
journal, May 2001

Experiments on droplet collisions, bounce, coalescence and disruption
journal, January 1997

Conservative Volume-of-Fluid method for free-surface simulations on Cartesian-grids
journal, April 2010

Breakup of Liquid Sheets and Jets
book, January 2003

The impact of a single drop on a wetted solid surface
journal, April 1997

Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry
journal, August 2007

A Stable and Efficient Method for Treating Surface Tension in Incompressible Two-Phase Flow
journal, January 2009

Coalescence and separation in binary collisions of liquid drops
journal, December 1990

The recoiling of liquid droplets upon collision with solid surfaces
journal, March 2001

An accurate conservative level set/ghost fluid method for simulating turbulent atomization
journal, September 2008

A Coupled Level set and Volume-Of-Fluid Method for the Buoyancy-Driven Motion of Fluid Particles
journal, December 2002

The moment-of-fluid method in action
journal, October 2009

Collision between immiscible drops with large surface tension difference: diesel oil and water
journal, July 2006

A numerical study on the mechanism of splashing
journal, October 1999

Volume of fluid (VOF) method for the dynamics of free boundaries
journal, January 1981

DROP IMPACT DYNAMICS: Splashing, Spreading, Receding, Bouncing…
journal, January 2006

An improved level set method for incompressible two-phase flows
journal, June 1998

A numerical method for interface reconstruction of triple points within a volume tracking algorithm
journal, December 2008

An embedded level set method for sharp-interface multiphase simulations of Diesel injectors
journal, February 2014

A 3D Unsplit Forward/Backward Volume-of-Fluid Approach and Coupling to the Level Set Method
journal, January 2013

A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles
journal, May 2003

A Numerical Method for the Incompressible Navier-Stokes Equations Based on an Approximate Projection
journal, March 1996

An Adaptive Level Set Approach for Incompressible Two-Phase Flows
journal, January 1999

Application of a level set method for simulation of droplet collisions
journal, September 2005

Compressible, multiphase semi-implicit method with moment of fluid interface representation
journal, December 2014

Filament capturing with the Multimaterial Moment-of-Fluid method
journal, March 2015

A second-order accurate material-order-independent interface reconstruction technique for multi-material flow simulations
journal, February 2009

Volume-of-fluid algorithm with different modified dynamic material ordering methods and their comparisons
journal, May 2010

Interface reconstruction with least-square fit and split Eulerian-Lagrangian advection
journal, January 2003

Drop formation at the surface of plane turbulent liquid jets in still gases
journal, September 1999

A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows
journal, August 2000

Material order-independent interface reconstruction using power diagrams
journal, January 2008

Thickness-based adaptive mesh refinement methods for multi-phase flow simulations with thin regions
journal, July 2014

A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow
journal, September 1994

A hybrid level set-volume constraint method for incompressible two-phase flow
journal, August 2012

A numerical investigation of central binary collision of droplets
journal, June 2009

Towards an Efficient, High-Fidelity Methodology for Liquid Jet Atomization Computations
conference, June 2012

A control volume finite element method for three‐dimensional three‐phase flows
journal, January 2020

A Hierarchical Space-Time Spectral Element and Moment-of-Fluid Method for Improved Capturing of Vortical Structures in Incompressible Multi-phase/Multi-material Flows
journal, November 2019

Numerical simulatim of rainwater accumulation and flow characteristics over windshield of high-speed trains
journal, January 2020

Investigation of drop impact on dry and wet surfaces with consideration of surrounding air
journal, July 2016

High-speed oblique drop impact on thin liquid films
journal, August 2017