# Bibliography

### From Gerris

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= Gerris related = | = Gerris related = | ||

+ | |||

+ | <bibtex> | ||

+ | @Article{tao2012, | ||

+ | author = {Y. Tao and S. Rosswog and M. Brüggen}, | ||

+ | title = {A simulation modeling approach to hydrothermal plumes and its comparison to analytical models}, | ||

+ | journal = {Ocean Modelling}, | ||

+ | year = {2012}, | ||

+ | doi = {10.1016/j.ocemod.2012.10.00110.1063/1.4757390}, | ||

+ | url = {http://dx.doi.org/10.1016/j.ocemod.2012.10.00110.1063/1.4757390} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @Article{staron2012, | ||

+ | author = {L. Staron, P.-Y. Lagrée and S. Popinet}, | ||

+ | title = {The granular silo as a continuum plastic flow: the hourglass vs the clepsydra}, | ||

+ | journal = {Physics of Fluids}, | ||

+ | year = {2012}, | ||

+ | volume = {24}, | ||

+ | pages = {103301}, | ||

+ | doi = {10.1063/1.4757390} | ||

+ | url = {http://gfs.sf.net/papers/staron2012.pdf} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @Article{jalaal2012, | ||

+ | author = {M. Jalaal and K. Mehravaran}, | ||

+ | title = {Fragmentation of falling liquid droplets in bag breakup mode}, | ||

+ | journal = {International Journal of Multiphase Flow}, | ||

+ | year = {2012}, | ||

+ | url = {http://dx.doi.org/10.1016/j.ijmultiphaseflow.2012.07.011} | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @Article{afkhami2012a, | ||

+ | author = {A. M. Leshansky and S. Afkhami and M.-C. Jullien and P. Tabeling}, | ||

+ | title = {Obstructed breakup of slender drops in a microfluidic T junction}, | ||

+ | journal = {Physical Review Letters}, | ||

+ | year = {2012}, | ||

+ | volume = {108}, | ||

+ | number = {26}, | ||

+ | pages = {264502}, | ||

+ | doi = {10.1103/PhysRevLett.108.264502}, | ||

+ | url = {http://link.aps.org/doi/10.1103/PhysRevLett.108.264502} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @Article{thoraval2012, | ||

+ | author = {M.-J. Thoraval and K. Takehara and T. G. Etoh and S. Popinet and P. Ray and C. Josserand and S. Zaleski and S. T. Thoroddsen}, | ||

+ | title = {von Kármán Vortex Street within an Impacting Drop}, | ||

+ | journal = {Physical Review Letters}, | ||

+ | year = {2012}, | ||

+ | volume = {108}, | ||

+ | number = {26}, | ||

+ | pages = {264506}, | ||

+ | doi = {10.1103/PhysRevLett.108.264506}, | ||

+ | url = {http://link.aps.org/doi/10.1103/PhysRevLett.108.264506} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @article{ruyer2012wavy, | ||

+ | title={Wavy regime of a power-law film flow}, | ||

+ | author={Ruyer-Quil, C. and Chakraborty, S. and Dandapat, B. S.}, | ||

+ | journal={Journal of Fluid Mechanics}, | ||

+ | volume={692}, | ||

+ | pages={220--256}, | ||

+ | year={2012}, | ||

+ | publisher={Cambridge Univ Press}, | ||

+ | url = {http://dx.doi.org/10.1017/jfm.2011.508} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @article{aristov2012simulations, | ||

+ | title={Simulations of Pressure-driven flows through Channels and Pipes with unified flow solver}, | ||

+ | author={V. V. Aristov and A. A. Frolova and S. A. Zabelok and R. R. Arslanbekov and V. I. Kolobov}, | ||

+ | journal={Vacuum}, | ||

+ | year={2012}, | ||

+ | publisher={Elsevier}, | ||

+ | url={http://dx.doi.org/10.1016/j.vacuum.2012.02.043} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @Article{popinet2012, | ||

+ | author = {S. Popinet}, | ||

+ | title = {Adaptive modelling of long-distance wave propagation and fine-scale flooding during the Tohoku tsunami}, | ||

+ | journal = {Natural Hazards and Earth System Sciences}, | ||

+ | year = {2012}, | ||

+ | volume = {12}, | ||

+ | number = {4}, | ||

+ | pages = {1213-1227}, | ||

+ | doi = {10.5194/nhess-12-1213-2012}, | ||

+ | url = {http://gfs.sf.net/papers/popinet2012.pdf} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @Article{an2012, | ||

+ | title = {Well-balanced shallow water flow simulation on quadtree cut cell grids}, | ||

+ | author = {Hyunuk An and Soonyoung Yu}, | ||

+ | journal = {Advances in Water Resources}, | ||

+ | year = {2012}, | ||

+ | volume = {39}, | ||

+ | pages = {60-70}, | ||

+ | url = {http://dx.doi.org/10.1016/j.advwatres.2012.01.003} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @Unpublished{jalaal2011, | ||

+ | author = {M. Jalaal and M.Schwalbach and K. Mehravaran}, | ||

+ | title = {A falling droplet as it falls apart}, | ||

+ | year = {2011}, | ||

+ | journal = {arXiv}, | ||

+ | url = {http://arxiv.org/abs/1110.3374} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @InProceedings{divett2011, | ||

+ | author = {Tim Divett and Ross Vennell and Craig Stevens}, | ||

+ | title = {Optimisation of Multiple Turbine Arrays in a Channel with Tidally Reversing Flow by Numerical Modelling with Adaptive Mesh}, | ||

+ | booktitle = {Proceedings of 10th European Wave and Tidal Energy Conference, Southampton, United Kingdom}, | ||

+ | year = {2011}, | ||

+ | month = {September}, | ||

+ | url = {http://otago.academia.edu/TimDivett/Papers/1002354/Optimisation_of_Multiple_Turbine_Arrays_in_a_Channel_with_Tidally_Reversing_Flow_by_Numerical_Modelling_with_Adaptive_Mesh} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @Article{dos2011, | ||

+ | title = {Spray Atomization Models in Engine Applications, from Correlations to Direct Numerical Simulations}, | ||

+ | author = {Dos Santos, F. and Le Moyne, L.}, | ||

+ | journal = {Oil & Gas Science and Technology--Revue d’IFP Energies nouvelles}, | ||

+ | year = {2011}, | ||

+ | publisher = {Technip}, | ||

+ | url = {http://ogst.ifpenergiesnouvelles.fr/articles/ogst/pdf/first/ogst100079.pdf} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @Article{lagree2011, | ||

+ | author = {P.-Y. Lagrée, L. Staron and S. Popinet}, | ||

+ | title = {The granular column collapse as a continuum: validity of a Navier-Stokes model with a mu(I)-rheology}, | ||

+ | journal = {Journal of Fluid Mechanics}, | ||

+ | year = {2011}, | ||

+ | volume = {686}, | ||

+ | pages = {378-408}, | ||

+ | url = {http://gfs.sf.net/papers/lagree2011.pdf}, | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @InProceedings{fuster2011, | ||

+ | author = {D. Fuster and J. Hoepffner and S. Popinet and S. Zaleski}, | ||

+ | title = {Parallel simulation of multiphase flows using the volume-of-fluid method}, | ||

+ | year = {2011}, | ||

+ | booktitle = {Proceedings of ASME-JSME-KSME Joint Fluid Conference 2011, July 24-29, 2011, Hamamatsu, Japan}, | ||

+ | url = {http://www.lmm.jussieu.fr/~zaleski/Papers/11KSME.pdf} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @InProceedings{kolobov2011, | ||

+ | author = {V. Kolobov and R. Arslanbekov}, | ||

+ | title = {Towards Adaptive Kinetic-Fluid Simulations of Weakly Ionized Plasmas}, | ||

+ | booktitle = {Seminar} | ||

+ | year = {2011}, | ||

+ | url = {http://www.avsusergroups.org/pag_pdfs/2011_7kolobov.pdf} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @Article{popinet2011, | ||

+ | author = {S. Popinet}, | ||

+ | title = {Quadtree-adaptive tsunami modelling}, | ||

+ | journal = {Ocean Dynamics}, | ||

+ | year = {2011}, | ||

+ | url = {http://gfs.sf.net/papers/tsunami.pdf}, | ||

+ | volume = {61}, | ||

+ | number = {9}, | ||

+ | pages = {1261-1285} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @article{samanta2011falling, | ||

+ | title={A falling film down a slippery inclined plane}, | ||

+ | author={Samanta, A. and Ruyer-Quil, C. and Goyeau, B.}, | ||

+ | journal={Journal of Fluid Mechanics}, | ||

+ | volume={684}, | ||

+ | pages={353--383}, | ||

+ | year={2011}, | ||

+ | publisher={Cambridge Univ Press}, | ||

+ | url={http://dx.doi.org/10.1017/jfm.2011.304} | ||

+ | } | ||

+ | </bibtex> | ||

+ | |||

+ | <bibtex> | ||

+ | @InProceedings{srinarayana2010, | ||

+ | author = {N. Srinarayana and S.W. Armfield and M. Behnia and W. Lin}, | ||

+ | title = {Critical Froude number for transition from a steady to an unsteady plane fountain injected into a homogeneous fluid}, | ||

+ | booktitle = {Proceedings of the 17th Australasian Fluid Mechanics Conference, Auckland, New Zealand}, | ||

+ | year = {2010}, | ||

+ | url = {http://www.mech.unimelb.edu.au/people/staffresearch/AFMS%20site/17/267_Paper.pdf} | ||

+ | } | ||

+ | </bibtex> | ||

<bibtex> | <bibtex> | ||

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volume = {23}, | volume = {23}, | ||

pages = {022002} | pages = {022002} | ||

+ | url = {http://web.njit.edu/~shahriar/Publication/PoF2.pdf} | ||

} | } | ||

</bibtex> | </bibtex> | ||

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journal = {Compte-rendus de l'Académie des Sciences, Paris}, | journal = {Compte-rendus de l'Académie des Sciences, Paris}, | ||

year = {2011}, | year = {2011}, | ||

- | url = {http://gfs.sf.net/papers/agbaglah2011.pdf} | + | url = {http://gfs.sf.net/papers/agbaglah2011.pdf}, |

+ | volume = {339}, | ||

+ | pages = {194-207} | ||

} | } | ||

</bibtex> | </bibtex> | ||

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journal = {Environmental Fluid Mechanics}, | journal = {Environmental Fluid Mechanics}, | ||

year = {2010}, | year = {2010}, | ||

+ | volume = {11}, | ||

+ | number = {4}, | ||

+ | pages = {405-425}, | ||

url = {http://gfs.sf.net/papers/delaux2010.pdf} | url = {http://gfs.sf.net/papers/delaux2010.pdf} | ||

} | } | ||

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year = {2010}, | year = {2010}, | ||

volume = {22}, | volume = {22}, | ||

- | number = {9}, | + | number = {092104}, |

url = {http://gfs.sf.net/papers/bague2010.pdf} | url = {http://gfs.sf.net/papers/bague2010.pdf} | ||

} | } | ||

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number = {6}, | number = {6}, | ||

pages = {550-565}, | pages = {550-565}, | ||

- | year = {2009} | + | year = {2009}, |

+ | url = {http://danielfuster.com/galerias/atomization/publications/paperIJMF.pdf} | ||

} | } | ||

</bibtex> | </bibtex> |

## Revision as of 03:52, 12 November 2012

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

*Y. Tao, S. Rosswog, M. Brüggen* - **A simulation modeling approach to hydrothermal plumes and its comparison to analytical models**

- Ocean Modelling , 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 , 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
- Bibtex

*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

*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 , 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

*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 , 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

*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
- Bibtex

*S. Afkhami, A. M. Leshansky, Y. Renardy* - **Numerical investigation of elongated drops in a microfluidic T-junction**

- Physics of Fluids 23:022002, 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**

- Compte-rendus de l'Académie des Sciences, Paris 339:194-207, 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 23:012101, 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 230:1939-1955, 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* - **The 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**

- Atmos. Chem. Phys. (10):5123-5133, 2010
- Bibtex

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

- Computers and 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 34:36-49, 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 41:065001, 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 135:1603-1613, 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 30:16-28, 2009
- Bibtex

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

- Journal of Computational Physics 228:5838–5866, 2009
- Bibtex

*D. Fuster, A. Bague, 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
- Bibtex

*S. Afkhami, M. Bussmann* - **Height functions for applying contact angles to 3D VOF simulations**

- International Journal for Numerical Methods in Fluids 61:827-847, 2009
- Bibtex

*S. Afkhami, S. Zaleski, M. Bussmann* - **A mesh-dependent model for applying dynamic contact angles to VOF simulations**

- Journal of Computational Physics 228:5370–5389, 2009
- Bibtex

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

- International Journal for Numerical Methods in Fluids 57:453–472, 2008
- Bibtex

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

- Proceedings of the New Zealand Acoustic Society Conference 2008, Auckland, November , 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):678–698, 2008
- Bibtex

*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 , 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 , 2007
- Bibtex

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

- Ocean Modelling (16):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), 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**

- J. Ocean. Atm. Tech. 21(10):1574-1589, 2004
- Bibtex

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

- J. Comput. Phys. 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
- 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

# 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
- 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

# 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**

*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