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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.


Gerris related

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

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, 2010

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

Environmental Fluid Mechanics , 2010

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

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

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

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

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(9), 2010

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

Ocean Modelling 34:36-49, 2010

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

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

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

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

Journal of Computational Physics 228:5838–5866, 2009

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

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

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

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

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

Proceedings of the New Zealand Acoustic Society Conference 2008, Auckland, November , 2008

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

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

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

Computational Mechanics, Proceedings of ISCM 2007 , 2007

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

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

Ocean Modelling (16):224-249, 2007

R. Msadek - Hydrodynamic tidal model of Cook Strait

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

S. Popinet - Numerical modelling of fluid flow

Marsden Update (28), July, 2004

S. Popinet - Free Computational Fluid Dynamics

ClusterWorld 2(6), June, 2004

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

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

J. Comput. Phys. 190(2):572-600, 2003

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

Unpublished , 2001

Locally refined methods

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

PhD thesis, University of California , Berkeley, 1998

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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