The Gerris Flow Solver
Gerris Lacustris (Linnaeus, 1758)

Introduction

Getting Gerris
    Packages
        Download Gerris 0.9.2
        Download GfsView 0.4.2
        Debian packages
    Developmental
        Source code repository
        Gerris snapshot
        GfsView snapshot
        Gerris ChangeLog
        GfsView ChangeLog

Mailing Lists
Sourceforge page

Screenshots
    Gerris in action

Documentation
    Tutorial
    FAQ
    Examples
    Object hierarchy
    Developer reference manual
    GTS Reference
    GLib Reference
    Installation instructions
    Bibliography

Test suite

Links

Gerris is hosted by
Bibliography

A small collection of articles found on the web relevant to the design of Gerris. This list is also available as a BibTeX file.


Gerris related

A tree-based solver for adaptive ocean modelling. S. Popinet and G. Rickard. Ocean Modelling:224-249, 2006.

Hydrodynamic tidal model of Cook Strait. R. Msadek. Technical Report, National Institute of Water and Atmospheric research, June 2005.

Numerical modelling of fluid flow. S. Popinet. Marsden Update, July 2004.

Free Computational Fluid Dynamics. S. Popinet. ClusterWorld, 2, June 2004.

Experimental and numerical study of the turbulence characteristics of air flow around a research vessel. S. Popinet, M. Smith and C. Stevens. J. Ocean. Atm. Tech., 21:1574-1589, 2004.

Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries. S. Popinet. J. Comput. Phys., 190:572-600, 2003.

Generic and accurate direct numerical simulation of interfacial and free-surface flows. S. Popinet. Marsden Fund research proposal, 2001.

Locally refined methods

An adaptive cell-centered projection method for the incompressible Euler equations. D. F. Martin. PhD Thesis, University of California, 1998.

Fully threaded tree algorithms for adaptive refinement fluid dynamics simulations. A. M. Khokhlov. J. Comput. Phys., 143:519-543, 1998.

An Adaptive Mesh Projection Method for Viscous Incompressible Flow. Louis H. Howell and John B. Bell. SIAM Journal on Scientific Computing, 18:996-1013, 1997.

A Projection Method for Locally Refined Grids. M. L. Minion. J. Comput. Phys., 127:158-177, 1996.

A Multigrid Solver for the Steady State Navier-Stokes Equations Using The Pressure-Poisson Formulation. D. Sidilkover and U. M. Ascher. Comp. Appl. Math, 14:21-35, 1995.

An Adaptively-Refined, Cartesian, Cell-Based Scheme for the Euler and Navier-Stokes Equations. W. J. Coirier. PhD Thesis, NASA Lewis Research Center, October 1994.

A Cartesian Grid Approach with Hierarchical Refinement for Compressible Flows. J. J. Quirk. Technical Report, NASA Langley research center, 1994.

Approximate projections

Accurate projection methods for the incompressible Navier-Stokes equations. D. L. Brown, R. Cortez and M. L. Minion. J. Comput. Phys., 168:464-499, 2001.

Approximate Projection Methods: Part I. Inviscid Analysis. A. S. Almgren, J. B. Bell and W. Y. Crutchfield. SIAM Journal on Scientific Computing, 22:1139-1159, 2000.

A Conservative Adaptive Projection Method for the Variable Density Incompressible Navier-Stokes Equations. A. S. Almgren, J. B. Bell, P. Colella, L. H. Howell and M. L. Welcome. J. Comput. Phys., 142:1-46, 1998.

A numerical method for the incompressible Navier-Stokes equations based on an approximate projection. A. S. Almgren, J. B. Bell and W. G. Szymczak. SIAM J. Sci. Comput., 17:358-369, 1996.

Approximate projection methods for incompressible flows: Implementation, variants and robustness. W. J. Rider. Technical Report, Los Alamos National Laboratory, 1995.

Complex solid boundaries

A Cartesian grid method for solving the streamfunction-vorticity equations in irregular geometries. D. Calhoun. PhD Thesis, University of Washington, 1999.

A Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex Geometries. A. S. Almgren, J. B. Bell, P. Colella and T. Marthaler. SIAM J. Sci. Comp., 18:1289-1309, 1997.

A second-order projection method for the incompressible Navier-Stokes equations in arbitrary domain. E. Y. Tau. J. Comput. Phys., 115:147-152, 1994.

Central schemes

New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. A. Kurganov and E. Tadmor. unknown, 2000.

A fast high-resolution second-order central scheme for incompressible flows. R. Kupferman and E. Tadmor. Proc. Nat. Acad. Sci., 1997.

Godunov methods

Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods: The Quasi-Steady Wave-Propagation Algorithm. Randall J. LeVeque. J. Comput. Phys., 146:346-365, 1998.

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

A second-order projection method for variable density flows. J. B. Bell and D. L. Marcus. J. Comput. Phys., 101:334-348, 1992.

A multidimensional second order Godunov scheme for conservation laws. P. Colella. J. Comput. Phys., 87:171-200, 1990.

A second-order projection method for the incompressible Navier-Stokes equations. J. B. Bell, P. Colella and H. M. Glaz. J. Comput. Phys., 85:257-283, 1989.

Interfacial flows

Perspective on Eulerian finite volume methods for incompressible interfacial flows. D. Kothe, 1999.

A high-order projection method for tracking fluid interfaces in variable density incompressible flows. E. Puckett, A. Almgren, J. Bell, D. Marcus and W. Rider. J. Comput. Phys., 130:269-282, 1997.

Accurate solution algorithms for incompressible multiphase flows. W. Rider, D. Kothe, S. Mosso, J. Cerutti and J. Hochstein. Proceedings of the 33rd AIAA Aerospace Science Meeting and Exhibit, 1995.

Volume of fluid interface tracking with smoothed surface stress methods for three-dimensional flows. D. Gueyffier, A. Nadim, J. Li and. J. Comput. Phys., 152:423-456, 1998.

Mesh generation

Robust and efficient cartesian mesh generation for component-based geometry. M. J. Aftosmis, M. J. Berger and J. E. Melton. Technical Report, U.S. Air Force Wright Laboratory, 1997.

Graph partitioning

Shape-optimized mesh partitioning and load balancing for parallel adaptive FEM. R. Diekmann, R. Preis, F. Schlimbach and C. Walshaw. Parallel Computing, 26:1555-1581, 2000.