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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

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 , 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 , 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, 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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