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

Gerris related

Kawabata, Y, Nishihara, GN, Yamaguchi, T, Takebe, T, Teruya, K, Sato, T, Soyano, K - The effect of spine postures on the hydrodynamic drag in Epinephelus ongus larvae

Journal of fish biology , 2014
Bibtex

G. Agbaglah, R. D. Deegan - Growth and instability of the liquid rim in the crown splash regime

Journal of Fluid Mechanics 752:485-496, 2014
Bibtex

C. F. Brasz, J. H. Yang, C. B. Arnold - Tilting of adjacent laser-induced liquid jets

Microfluidics and Nanofluidics , 2014
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Pawel A. Wroniszewski, Joris C.G. Verschaeve, Geir K. Pedersen - Benchmarking of Navier–Stokes codes for free surface simulations by means of a solitary wave

Coastal Engineering 91:1-17, 2014
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Cansu Ozhan, Daniel Fuster, Patrick Da Costa - Multi-scale flow simulation of automotive catalytic converters

Chemical Engineering Science 116:161-171, 2014
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Hai-tao Li, Jing Li, Zhi Zong, Zhen Chen - Numerical studies on sloshing in rectangular tanks using a tree-based adaptive solver and experimental validation

Ocean Engineering 82:20-31, 2014
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Shahriar Afkhami, Lou Kondic - On the dewetting of liquefied metal nanostructures

Journal of Engineering Mathematics , 2014
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L. Staron, P.-Y. Lagrée, S. Popinet - Continuum simulation of the discharge of the granular silo

European Physical Journal E 37(5), 2014
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J. D. Fowlkes, N. A. Roberts, Y. Wu, J. A. Diez, A. G. Gonzalez, C. Hartnett, K. Mahady, S. Afkhami, L. Kondic, P. D. Rack - Hierarchical nanoparticle ensembles synthesized by liquid phase directed self-assembly

Nano Letters 14 (2):774-782, 2014
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M. Jalaal, K. Mehravaran - Transient growth of droplet instabilities in a stream

Physics of Fluids 26(012101), 2014
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X.-D. Chen, D.-J. Ma, V. Yang, S. Popinet - High-Fidelity Simulations of Impinging Jet Atomization

Atomization and sprays 23(12):1079-1101, 2013
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D. Fuster, J.P Matas, S. Marty, S. Popinet, J. Hoepffner, A. Cartellier, S. Zaleski - Instability regimes in the primary breakup region of planar coflowing sheets

Journal of Fluid Mechanics , 2013
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K. Mahady, S. Afkhami, J. Diez, L. Kondic - Comparison of Navier-Stokes simulations with long-wave theory: Study of wetting and dewetting

Physics of Fluids 25(11):112103, 2013
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Shahriar Afkhami, Yuriko Renardy - A volume-of-fluid formulation for the study of co-flowing fluids governed by the Hele-Shaw equations

Physics of Fluids 25(8):082001, 2013
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S. Afkhami, L. Kondic - Numerical Simulation of Ejected Molten Metal Nanoparticles Liquified by Laser Irradiation: Interplay of Geometry and Dewetting

Physical Review Letters 111(3):034501, 2013
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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 5:4450−4456, 2013
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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
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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
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L. Staron, P.-Y. Lagrée, P. Ray, S. Popinet - Scaling laws for the slumping of a Bingham plastic fluid

Journal of Rheology , 2013
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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
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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
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D. Fuster - An energy preserving formulation for the simulation of multiphase turbulent flows

Journal of Computational Physics 235:114-128, 2013
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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
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Xiaodong Chen, Vigor Yang - Impinging Jet Dynamics

arXiv , October, 2012
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M.-J. Thoraval, S. T. Thoroddsen, K. Takehara, T. G. Etoh - Bubble Rings Entrapment

arXiv , October, 2012
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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
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M. Jalaal, K. Mehravaran - Fragmentation of falling liquid droplets in bag breakup mode

International Journal of Multiphase Flow 47:115-132, 2012
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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. A. Herrada, J. M. Lopez-Herrera, E. J. Vega, J. M. Montanero, S. Popinet - Numerical simulation of electrospray in the cone-jet mode

Physical Review E. 86(2):026305, 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
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Ruyer-Quil, C., Chakraborty, S., Dandapat, B. S. - Wavy regime of a power-law film flow

Journal of Fluid Mechanics 692:220-256, 2012
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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
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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
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Hyunuk An, Soonyoung Yu - Well-balanced shallow water flow simulation on quadtree cut cell grids

Advances in Water Resources 39:60-70, 2012
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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
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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
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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
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Xiaodong Chen, Prashant Khare, Dongjun Ma, Vigor Yang - Impinging Jets and Droplet Dynamics

arXiv , October, 2011
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M. Jalaal, M. Schwalbach, K. Mehravaran - A falling droplet as it falls apart

Unpublished , 2011
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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
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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
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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
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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
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V. Kolobov, R. Arslanbekov - Towards Adaptive Kinetic-Fluid Simulations of Weakly Ionized Plasmas

Seminar , 2011
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S. Popinet - Quadtree-adaptive tsunami modelling

Ocean Dynamics 61(9):1261-1285, 2011
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Samanta, A., Ruyer-Quil, C., Goyeau, B. - A falling film down a slippery inclined plane

Journal of Fluid Mechanics 684:353-383, 2011
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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
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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
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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
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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
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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
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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
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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
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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
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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
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G. Tomar, D. Fuster, S. Zaleski, S. Popinet - Multiscale simulations of primary atomization

Computers & Fluids 39(10):1864-1874, 2010
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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
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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
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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
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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
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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
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S. Popinet - An accurate adaptive solver for surface-tension-driven interfacial flows

Journal of Computational Physics 228(16):5838–5866, 2009
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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
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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
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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
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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
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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
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S. Popinet, G. Rickard - A tree-based solver for adaptive ocean modelling

Ocean Modelling 16(3-4):224-249, 2007
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S. Mampitiyarachchi - 3D Flow Visualisation of a Micro Air Vehicle with Winglets

Technical report, University of Sydney , October, 2006
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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
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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
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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

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

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

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

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

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

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
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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

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

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

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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