Bibliography

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A non-exhaustive list of papers using Gerris and/or used when developing Gerris. Other relevant references can also be found on the user page of Stéphane Popinet.

Contents

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Gerris related

Nicholas A. Roberts, Jason D. Fowlkes, Kyle Mahady, Shahriar Afkhami, Lou Kondic, Philip D. Rack - Directed Assembly of One- and Two-Dimensional Nanoparticle Arrays from Pulsed Laser Induced Dewetting of Square Waveforms

ACS Applied Materials & Interfaces , 2013
Bibtex

S. Afkhami, L. Kondic - Numerical simulation of ejected molten metal-nanoparticles liquefied by laser irradiation: Interplay of geometry and dewetting

arXiv , 2013
Bibtex

K. Mehravaran - Direct simulations of primary atomization in moderate speed diesel fuel injection

International Journal of Materials, Mechanics and Manufacturing 1(2):207-209, 2013
Bibtex

C.-C. Tsai, T.-H. Hou, S. Popinet, Y. Y. Chao - Wind wave prediction of tropical cyclones by a quadtree-adaptive model

Coastal Engineering pp. 108-119, 2013
Bibtex

L. Staron, P.-Y. Lagrée, P. Ray, S. Popinet - Scaling laws for the slumping of a Bingham plastic fluid

Journal of Rheology , 2013
Bibtex

C. Ferrera, J. M. Lopez-Herrera, M. A. Herrada, J. M. Montanero, A. J. Acero - Dynamical behavior of electrified pendant drops

Physics of Fluids 25(1):012104, 2013
Bibtex

See also animation of tip streaming.

N. Srinarayana, S.W. Armfield, Wenxian Lin - Behaviour of laminar plane fountains with a parabolic inlet velocity profile in a homogeneous fluid

International Journal of Thermal Sciences , 2013
Bibtex

D. Fuster - An energy preserving formulation for the simulation of multiphase turbulent flows

Journal of Computational Physics 235:114-128, 2013
Bibtex

A. Orazzo, J. Hoepffner - The evolution of a localized nonlinear wave of the Kelvin–Helmholtz instability with gravity

Physics of Fluids 24:112106, 2012
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Y. Tao, S. Rosswog, M. Brüggen - A simulation modeling approach to hydrothermal plumes and its comparison to analytical models

Ocean Modelling 61:68-80, 2013
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J. C. Cano-Lozano, P. Bohorquez, C. Martínez-Bazán - Wake instability of a fixed axisymmetric bubble of realistic shape

International Journal of Multiphase Flow 51:11-21, 2013
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M.-J. Thoraval, K. Takehara, T. G. Etoh, S. T. Thoroddsen - Drop impact entrapment of bubble rings

Journal of Fluid Mechanics 724:234-258, 2013
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Xiaodong Chen, Vigor Yang - Bouncing, Helical and Buckling Instabilities During Droplet Collision: Newtonian and Non-Newtonian Liquids

arXiv , October, 2012
Bibtex

Xiaodong Chen, Vigor Yang - Impinging Jet Dynamics

arXiv , October, 2012
Bibtex

M.-J. Thoraval, S. T. Thoroddsen, K. Takehara, T. G. Etoh - Bubble Rings Entrapment

arXiv , October, 2012
Bibtex

L. Staron, P.-Y. Lagrée, S. Popinet - The granular silo as a continuum plastic flow: The hourglass vs the clepsydra

Physics of Fluids 24:103301, 2012
Bibtex

M. Jalaal, K. Mehravaran - Fragmentation of falling liquid droplets in bag breakup mode

International Journal of Multiphase Flow 47:115-132, 2012
Bibtex

A. M. Leshansky, S. Afkhami, M.-C. Jullien, P. Tabeling - Obstructed breakup of slender drops in a microfluidic T junction

Physical Review Letters 108(26):264502, 2012
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M.-J. Thoraval, K. Takehara, T. G. Etoh, S. Popinet, P. Ray, C. Josserand, S. Zaleski, S. T. Thoroddsen - von Kármán Vortex Street within an Impacting Drop

Physical Review Letters 108(26):264506, 2012
Bibtex

See accompanying Physics Focus.

Xiaodong Chen, Dongjun Ma, Vigor Yang - Dynamics and Stability of Impinging Jets

ILASS Americas, 24th Annual Conference on Liquid Atomization and Spray Systems pp. 1-15, May, 2012
Bibtex

Xiaodong Chen, Vigor Yang - A Multi-Scale Study of Droplet Collision Dynamics: From Gas Film Lubrication to Liquid Phase Mixing

ILASS Americas, 24th Annual Conference on Liquid Atomization and Spray Systems pp. 1-18, May, 2012
Bibtex

Ruyer-Quil, C., Chakraborty, S., Dandapat, B. S. - Wavy regime of a power-law film flow

Journal of Fluid Mechanics 692:220-256, 2012
Bibtex

V. V. Aristov, A. A. Frolova, S. A. Zabelok, R. R. Arslanbekov, V. I. Kolobov - Simulations of Pressure-driven flows through Channels and Pipes with unified flow solver

Vacuum 86(11):1717-1724, 2012
Bibtex

S. Popinet - Adaptive modelling of long-distance wave propagation and fine-scale flooding during the Tohoku tsunami

Natural Hazards and Earth System Sciences 12(4):1213-1227, 2012
Bibtex

Hyunuk An, Soonyoung Yu - Well-balanced shallow water flow simulation on quadtree cut cell grids

Advances in Water Resources 39:60-70, 2012
Bibtex

Xiaodong Chen, Dongjun Ma, Vigor Yang - High-Fidelity Numercial Simulations of Impinging Jet Atomization

Proceedings of the 48th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit pp. 1-18, 2012
Bibtex

Xiaodong Chen, Dongjun Ma, Vigor Yang - Collision Outcome and Mass Transfer of Unequal-sized Droplet Collision

Proceedings of the 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition pp. 1-19, 2012
Bibtex

Xiaodong Chen, Dongjun Ma, Vigor Yang - Mechanism Study of Impact Wave in Impinging Jets Atomization

Proceedings of the 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition pp. 1-14, 2012
Bibtex

Xiaodong Chen, Prashant Khare, Dongjun Ma, Vigor Yang - Impinging Jets and Droplet Dynamics

arXiv , October, 2011
Bibtex

M. Jalaal, M. Schwalbach, K. Mehravaran - A falling droplet as it falls apart

Unpublished , 2011
Bibtex

Tim Divett, Ross Vennell, Craig Stevens - Optimisation of Multiple Turbine Arrays in a Channel with Tidally Reversing Flow by Numerical Modelling with Adaptive Mesh

Proceedings of 10th European Wave and Tidal Energy Conference, Southampton, United Kingdom , September, 2011
Bibtex

Dos Santos, F., Le Moyne, L. - Spray Atomization Models in Engine Applications, from Correlations to Direct Numerical Simulations

Oil & Gas Science and Technology--Revue d’IFP Energies nouvelles 66(5):801-822, 2011
Bibtex

P.-Y. Lagrée, L. Staron, S. Popinet - The granular column collapse as a continuum: validity of a Navier-Stokes model with a mu(I)-rheology

Journal of Fluid Mechanics 686:378-408, 2011
Bibtex

D. Fuster, J. Hoepffner, S. Popinet, S. Zaleski - Parallel simulation of multiphase flows using the volume-of-fluid method

Proceedings of ASME-JSME-KSME Joint Fluid Conference 2011, July 24-29, 2011, Hamamatsu, Japan , 2011
Bibtex

V. Kolobov, R. Arslanbekov - Towards Adaptive Kinetic-Fluid Simulations of Weakly Ionized Plasmas

Seminar , 2011
Bibtex

S. Popinet - Quadtree-adaptive tsunami modelling

Ocean Dynamics 61(9):1261-1285, 2011
Bibtex

Samanta, A., Ruyer-Quil, C., Goyeau, B. - A falling film down a slippery inclined plane

Journal of Fluid Mechanics 684:353-383, 2011
Bibtex

Xiaodong Chen, Dongjun Ma, Prashant Khare, Vigor Yang - Energy and Mass Transfer during Binary Droplet Collision

Proceedings of the 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition pp. 1-17, 2011
Bibtex

Dong-Jun Ma, Xiao-Dong Chen, Prashant Khare, Vigor Yang - Atomization patterns and breakup characteristics of liquid sheets formed by two impinging jets

Proceedings of the 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition pp. 1-14, 2011
Bibtex

N. Srinarayana, S.W. Armfield, M. Behnia, W. Lin - Critical Froude number for transition from a steady to an unsteady plane fountain injected into a homogeneous fluid

Proceedings of the 17th Australasian Fluid Mechanics Conference, Auckland, New Zealand , 2010
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S. Afkhami, A. M. Leshansky, Y. Renardy - Numerical investigation of elongated drops in a microfluidic T-junction

Physics of Fluids 23(2):022002, 2011
Bibtex

G. Agbaglah, S. Delaux, D. Fuster, J. Hoepffner, C. Josserand, S. Popinet, P. Ray, R. Scardovelli, S. Zaleski - Parallel simulation of multiphase flows using octree adaptivity and the volume-of-fluid method

Comptes Rendus Mécanique 339(2-3):194-207, 2011
Bibtex

M. A. Herrada, J. M. Lopez-Herrera, E. J. Vega, J. M. Montanero - Numerical simulation of a liquid bridge in a coaxial gas flow

Physics of Fluids 23(1):012101, 2011
Bibtex

J. M. Lopez-Herrera, S. Popinet, M. A. Herrada - A charge-conservative approach for simulating electrohydrodynamic two-phase flows using Volume-Of-Fluid

Journal of Computational Physics 230(5):1939-1955, 2011
Bibtex

S. Delaux, C. L. Stevens, S. Popinet - High-resolution computational fluid dynamics modelling of suspended shellfish structures

Environmental Fluid Mechanics 11(4):405-425, 2010
Bibtex

J. O’Callaghan, G. Rickard, S. Popinet, C. Stevens - Response of buoyant plumes to transient discharges investigated using an adaptive solver

Journal of Geophysical Research 115:C11025, 2010
Bibtex

F. Griessbaum, B. I. Moat, Y. Narita, M. J. Yelland, O. Klemm, M. Uematsu - Uncertainties in wind speed dependent CO2 transfer velocities due to airflow distortion at anemometer sites on ships

Atmospheric Chemistry and Physics 10(11):5123-5133, 2010
Bibtex

G. Tomar, D. Fuster, S. Zaleski, S. Popinet - Multiscale simulations of primary atomization

Computers & Fluids 39(10):1864-1874, 2010
Bibtex

A. Bagué, D. Fuster, S. Popinet, R. Scardovelli, S. Zaleski - Instability growth rate of two-phase mixing layers from a linear eigenvalue problem and an initial value problem

Physics of Fluids 22(092104), 2010
Bibtex

S. Popinet, R. M. Gorman, G. J. Rickard, H. L. Tolman - A quadtree-adaptive spectral wave model

Ocean Modelling 34(1-2):36-49, 2010
Bibtex

D. Fuster, G. Agbaglah, C. Josserand, S. Popinet, S. Zaleski - Numerical simulation of droplets, bubbles and waves: state of the art

Fluid Dynamics Research 41(6):065001, 2009
Bibtex

F. Griessbaum, A. Schmidt - Advanced tilt correction from flow distortion effects on turbulent CO2 fluxes in complex environments using large eddy simulation

Quarterly Journal of the Royal Meteorological Society 135(643):1603-1613, 2009
Bibtex

G. Rickard, J. O'Callaghan, S. Popinet - Numerical simulations of internal solitary waves interacting with uniform slopes using an adaptive model

Ocean Modelling 30(1):16-28, 2009
Bibtex

S. Popinet - An accurate adaptive solver for surface-tension-driven interfacial flows

Journal of Computational Physics 228(16):5838–5866, 2009
Bibtex

D. Fuster, A. Bagué, T. Boeck, L. Le Moyne, A. Leboissetier, S. Popinet, P. Ray, S. Scardovelli, S. Zaleski - Simulation of primary atomization with an octree adaptive mesh refinement and VOF method

International Journal of Multiphase Flows 35(6):550-565, 2009
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S. Afkhami, M. Bussmann - Height functions for applying contact angles to 3D VOF simulations

International Journal for Numerical Methods in Fluids 61(8):827-847, 2009
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S. Afkhami, S. Zaleski, M. Bussmann - A mesh-dependent model for applying dynamic contact angles to VOF simulations

Journal of Computational Physics 228(15):5370–5389, 2009
Bibtex

S. Afkhami, M. Bussmann - Height functions for applying contact angles to 2D VOF simulations

International Journal for Numerical Methods in Fluids 57(4):453–472, 2008
Bibtex

T. Wiens - Sensing of Turbulent Flows Using Real-Time Acoustic Tomography

Proceedings of the XIXth Biennial Conference of the New Zealand Acoustical Society, 2008, Auckland, November pp. 1-6, 2008
Bibtex

Y. Zhou, D. McLaughlin, D. Entekhabi, G.H.C. Ng - An Ensemble Multiscale Filter for Large Nonlinear Data Assimilation Problems

Monthly Weather Review 136(2):678–698, 2008
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L. J. Gordillo-Zavaleta - Self-similar and travelling wave solutions in surface-tension-driven thin planar films

Technical report, Universite Pierre et Marie Curie , June, 2007
Bibtex

C. J. Wu, L. Wang - Direct numerical simulation of self-propelled swimming of 3D bionic fish school

Computational Mechanics, Proceedings of ISCM 2007 pp. 1-17, 2007
Bibtex

See also the corresponding fish tandem animation.

N. Srinarayana, S. W. Armfield, W. X. Lin - Numerical simulation of free-fountains in a homogeneous fluid

Proceedings of the 16th Australasian Fluid Mechanics Conference pp. 856-861, 2007
Bibtex

S. Popinet, G. Rickard - A tree-based solver for adaptive ocean modelling

Ocean Modelling 16(3-4):224-249, 2007
Bibtex

S. Mampitiyarachchi - 3D Flow Visualisation of a Micro Air Vehicle with Winglets

Technical report, University of Sydney , October, 2006
Bibtex

R. Msadek - Hydrodynamic tidal model of Cook Strait

Technical report, National Institute of Water and Atmospheric research , June, 2005
Bibtex

S. Popinet - Numerical modelling of fluid flow

Marsden Update 28:4-5, July, 2004
Bibtex

S. Popinet - Free Computational Fluid Dynamics

ClusterWorld 2(6), June, 2004
Bibtex

S. Popinet, M. Smith, C. Stevens - Experimental and numerical study of the turbulence characteristics of air flow around a research vessel

Journal of Atmospheric and Oceanic Technology 21(10):1575-1589, 2004
Bibtex

S. Popinet - Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries

Journal of Computational Physics 190(2):572-600, 2003
Bibtex

S. Popinet - Generic and accurate direct numerical simulation of interfacial and free-surface flows

Unpublished , 2001
Bibtex

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Locally refined methods

D. F. Martin - An adaptive cell-centered projection method for the incompressible Euler equations

PhD thesis, University of California , Berkeley, 1998
Bibtex

A. M. Khokhlov - Fully threaded tree algorithms for adaptive refinement fluid dynamics simulations

J. Comput. Phys. 143(2):519-543, 1998
Bibtex

Louis H. Howell, John B. Bell - An Adaptive Mesh Projection Method for Viscous Incompressible Flow

SIAM Journal on Scientific Computing 18(4):996-1013, 1997
Bibtex

M. L. Minion - A Projection Method for Locally Refined Grids

J. Comput. Phys. 127:158-177, 1996
Bibtex

D. Sidilkover, U. M. Ascher - A Multigrid Solver for the Steady State Navier-Stokes Equations Using The Pressure-Poisson Formulation

Comp. Appl. Math 14:21-35, 1995
Bibtex

W. J. Coirier - An Adaptively-Refined, Cartesian, Cell-Based Scheme for the Euler and Navier-Stokes Equations

PhD thesis, NASA Lewis Research Center , Cleveland, OH, USA, October, 1994
Bibtex

J. J. Quirk - A Cartesian Grid Approach with Hierarchical Refinement for Compressible Flows

Technical report, NASA Langley research center (TR-94-51), Hampton, VA, USA, 1994
Bibtex

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Approximate projections

D. L. Brown, R. Cortez, M. L. Minion - Accurate projection methods for the incompressible Navier-Stokes equations

J. Comput. Phys. 168:464-499, 2001
Postscript Bibtex

A. S. Almgren, J. B. Bell, W. Y. Crutchfield - Approximate Projection Methods: Part I. Inviscid Analysis

SIAM Journal on Scientific Computing 22(4):1139-1159, 2000
Postscript Bibtex

A. S. Almgren, J. B. Bell, P. Colella, L. H. Howell, M. L. Welcome - A Conservative Adaptive Projection Method for the Variable Density Incompressible Navier-Stokes Equations

J. Comput. Phys. 142:1-46, 1998
Postscript Bibtex

A. S. Almgren, J. B. Bell, W. G. Szymczak - A numerical method for the incompressible Navier-Stokes equations based on an approximate projection

SIAM J. Sci. Comput. 17(2):358-369, 1996
Bibtex

W. J. Rider - Approximate projection methods for incompressible flows: Implementation, variants and robustness

Technical report, Los Alamos National Laboratory (LA-UR-2000), 1995
Postscript Bibtex

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Complex solid boundaries

D. Calhoun - A Cartesian grid method for solving the streamfunction-vorticity equations in irregular geometries

PhD thesis, University of Washington , 1999
Bibtex

A. S. Almgren, J. B. Bell, P. Colella, T. Marthaler - A Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex Geometries

SIAM J. Sci. Comp. 18(5):1289-1309, 1997
Postscript Bibtex

E. Y. Tau - A second-order projection method for the incompressible Navier-Stokes equations in arbitrary domain

J. Comput. Phys. 115:147-152, 1994
Bibtex

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Central schemes

A. Kurganov, E. Tadmor - New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations

unknown , 2000
Postscript Bibtex

R. Kupferman, E. Tadmor - A fast high-resolution second-order central scheme for incompressible flows

Proc. Nat. Acad. Sci. , 1997
Postscript Bibtex

[edit]

Godunov methods

Randall J. LeVeque - Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods: The Quasi-Steady Wave-Propagation Algorithm

J. Comput. Phys. 146(1):346-365, 1998
Postscript Bibtex

M. L. Minion - On the stability of Godunov-projection methods for incompressible flow

J. Comput. Phys. , 1996
Postscript Bibtex

J. B. Bell, D. L. Marcus - A second-order projection method for variable density flows

J. Comput. Phys. 101:334-348, 1992
Bibtex

P. Colella - A multidimensional second order Godunov scheme for conservation laws

J. Comput. Phys. 87:171-200, 1990
Bibtex

J. B. Bell, P. Colella, H. M. Glaz - A second-order projection method for the incompressible Navier-Stokes equations

J. Comput. Phys. 85:257-283, 1989
Bibtex

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Interfacial flows

D. Kothe - Perspective on Eulerian finite volume methods for incompressible interfacial flows

Free Surface Flows pp. 267-331, New York, 1999
Postscript Bibtex

E. Puckett, A. Almgren, J. Bell, D. Marcus, W. Rider - A high-order projection method for tracking fluid interfaces in variable density incompressible flows

J. Comput. Phys. 130:269-282, 1997
Postscript Bibtex

W. Rider, D. Kothe, S. Mosso, J. Cerutti, J. Hochstein - Accurate solution algorithms for incompressible multiphase flows

Proceedings of the 33rd AIAA Aerospace Science Meeting and Exhibit , 1995
Postscript Bibtex

D. Gueyffier, A. Nadim, J. Li, R. Scardovelli, S. Zaleski - Volume of fluid interface tracking with smoothed surface stress methods for three-dimensional flows

J. Comput. Phys. 152:423-456, 1998
Bibtex

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Mesh generation

M. J. Aftosmis, M. J. Berger, J. E. Melton - Robust and efficient cartesian mesh generation for component-based geometry

Technical report, U.S. Air Force Wright Laboratory (AIAA-97-0196), 1997
Pdf Bibtex

Bertram, M., Tricoche, X., Hagen, H. - Adaptive smooth scattered-data approximation for large-scale terrain visualization

Proceedings of the symposium on Data visualisation pp. 177-184, 2003
Bibtex

[edit]

Graph partitioning

R. Diekmann, R. Preis, F. Schlimbach, C. Walshaw - Shape-optimized mesh partitioning and load balancing for parallel adaptive FEM

Parallel Computing 26:1555-1581, 2000
Postscript Bibtex
Image:Brown2001.ps.gzImage:Almgren2.ps.gzImage:Almgren1.ps.gzImage:Rider95.ps.gzImage:Almgren.ps.gzImage:Kurganov2000.ps.gzImage:Kupferman97.ps.gzImage:Leveque98.ps.gzImage:Minion96-2.ps.gzImage:Kothe99.ps.gzImage:Puckett97.ps.gzImage:Rider94.ps.gzImage:Aftosmis.pdfImage:Diekmann00shapeoptimized.ps.gz

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