%section="Gerris related" @Article{popinet2006, author = {S. Popinet and G. Rickard}, title = {A tree-based solver for adaptive ocean modelling}, journal = {Ocean Modelling}, year = 2006, number = 16, pages = {224-249}, url = {http://gfs.sf.net/ocean.pdf} } @TechReport{msadek2005, author = {R. Msadek}, title = {Hydrodynamic tidal model of Cook Strait}, institution = {National Institute of Water and Atmospheric research}, year = 2005, month = {June}, url = {http://gfs.sf.net/tides.pdf} } @Article{popinet2004c, author = {S. Popinet}, title = {Numerical modelling of fluid flow}, journal = {Marsden Update}, year = 2004, number = 28, month = {July}, url = {http://www.rsnz.govt.nz/funding/marsden_fund/news28/Mars_28.pdf} } @Article{popinet2004b, author = {S. Popinet}, title = {Free Computational Fluid Dynamics}, journal = {ClusterWorld}, year = 2004, volume = 2, number = 6, month = {June}, url = {http://gfs.sf.net/clusterworld/clusterworld.pdf} } @Article{popinet2004, author = {S. Popinet and M. Smith and C. Stevens}, title = {Experimental and numerical study of the turbulence characteristics of air flow around a research vessel}, journal = {J. Ocean. Atm. Tech.}, year = 2004, volume = 21, number = 10, pages = {1574-1589}, url = {http://gfs.sf.net/tangaroa.pdf} } @Article{popinet2003, author = {S. Popinet}, title = {Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries}, journal = {J. Comput. Phys.}, year = 2003, volume = 190, number = 2, pages = {572-600}, url = {http://gfs.sf.net/gerris.pdf} } @Unpublished{popinet2001, author = {S. Popinet}, title = {Generic and accurate direct numerical simulation of interfacial and free-surface flows}, note = {Marsden Fund research proposal}, year = 2001, url = {marsden.pdf} } %section="Locally refined methods" @PhdThesis{martin98, author = {D. F. Martin}, title = {An adaptive cell-centered projection method for the incompressible Euler equations}, school = {University of California}, year = 1998, address = {Berkeley}, local_url = {martin_thesis98.ps.gz}, url = {http://seesar.lbl.gov/anag/staff/martin/Thesis.html} } @Article{khokhlov98, author = {A. M. Khokhlov}, title = {Fully threaded tree algorithms for adaptive refinement fluid dynamics simulations}, journal = {J. Comput. Phys.}, year = 1998, volume = 143, number = 2, pages = {519-543}, local_url = {khokhlov/ftt.ps.gz} } @Article{howell97, author = {Louis H. Howell and John B. Bell}, title = {An Adaptive Mesh Projection Method for Viscous Incompressible Flow}, journal = {SIAM Journal on Scientific Computing}, year = 1997, volume = 18, number = 4, pages = {996-1013}, url = {http://citeseer.ist.psu.edu/44620.html}, local_url = {howell97.ps.gz} } @Article{minion96, author = {M. L. Minion}, title = {A Projection Method for Locally Refined Grids}, journal = {J. Comput. Phys.}, volume = 127, pages = {158-177}, year = 1996, url = {http://citeseer.ist.psu.edu/minion96projection.html}, local_url = {minion96.ps.gz} } @Article{sidilkover95, author = {D. Sidilkover and U. M. Ascher}, title = {A Multigrid Solver for the Steady State Navier-Stokes Equations Using The Pressure-Poisson Formulation}, journal = {Comp. Appl. Math}, year = 1995, volume = 14, pages = {21-35}, url = {http://citeseer.ist.psu.edu/sidilkover95multigrid.html}, local_url = {sidilkover95.ps.gz} } @PhdThesis{coirier94, author = {W. J. Coirier}, title = {An Adaptively-Refined, Cartesian, Cell-Based Scheme for the Euler and Navier-Stokes Equations}, school = {NASA Lewis Research Center}, year = 1994, address = {Cleveland, OH, USA}, month = {October}, url = {http://citeseer.ist.psu.edu/coirier94adaptivelyrefined.html}, local_url = {coirier94.ps.gz} } @TechReport{quirk94, author = {J. J. Quirk}, title = {A Cartesian Grid Approach with Hierarchical Refinement for Compressible Flows}, institution = {NASA Langley research center}, year = 1994, number = {TR-94-51}, address = {Hampton, VA, USA}, url = {http://citeseer.ist.psu.edu/james94cartesian.html}, local_url = {quirk94.ps.gz} } %section="Approximate projections" @Article{brown2001, author = {D. L. Brown and R. Cortez and M. L. Minion}, title = {Accurate projection methods for the incompressible Navier-Stokes equations}, journal = {J. Comput. Phys.}, year = 2001, volume = 168, pages = {464-499}, url = {http://www.amath.unc.edu/Faculty/minion/pubs/pubs.html}, local_url = {brown2001.ps.gz} } @Article{almgren2000, author = {A. S. Almgren and J. B. Bell and W. Y. Crutchfield}, title = {Approximate Projection Methods: Part I. Inviscid Analysis}, journal = {SIAM Journal on Scientific Computing}, year = 2000, volume = 22, number = 4, pages = {1139-1159}, local_url = {almgren2.ps.gz} } @Article{almgren98, author = {A. S. Almgren and J. B. Bell and P. Colella and L. H. Howell and M. L. Welcome}, title = {A Conservative Adaptive Projection Method for the Variable Density Incompressible Navier-Stokes Equations}, journal = {J. Comput. Phys.}, year = 1998, volume = 142, pages = {1-46}, url = {http://seesar.lbl.gov/ccse/Publications/almgren/abchw96/paper.ps.gz}, local_url = {almgren1.ps.gz} } @Article{almgren96, author = {A. S. Almgren and J. B. Bell and W. G. Szymczak}, title = {A numerical method for the incompressible Navier-Stokes equations based on an approximate projection}, journal = {SIAM J. Sci. Comput.}, year = 1996, volume = 17, number = 2, pages = {358-369} } @TechReport{rider95, author = {W. J. Rider}, title = {Approximate projection methods for incompressible flows: Implementation, variants and robustness}, institution = {Los Alamos National Laboratory}, year = 1995, number = {LA-UR-2000}, local_url = {rider95.ps.gz}, url = {http://www-xdiv.lanl.gov/XHM/personnel/wjr/Web_papers/proj/proj.ps.Z} } %section="Complex solid boundaries" @PhdThesis{calhoun99, author = {D. Calhoun}, title = {A Cartesian grid method for solving the streamfunction-vorticity equations in irregular geometries}, school = {University of Washington}, year = 1999, url = {ftp://amath.washington.edu/pub/rjl/students/calhoun:thesis.ps.gz} } @Article{almgren97, author = {A. S. Almgren and J. B. Bell and P. Colella and T. Marthaler}, title = {A Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex Geometries}, journal = {SIAM J. Sci. Comp.}, year = 1997, volume = 18, number = 5, pages = {1289-1309}, url = {http://seesar.lbl.gov/ccse/Publications/almgren/abcm.sisc/paper.ps.gz}, local_url = {almgren.ps.gz} } @Article{tau94, author = {E. Y. Tau}, title = {A second-order projection method for the incompressible Navier-Stokes equations in arbitrary domain}, journal = {J. Comput. Phys.}, year = 1994, volume = 115, pages = {147-152} } %section="Central schemes" @Article{kurganov2000, author = {A. Kurganov and E. Tadmor}, title = {New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations}, journal = {unknown}, year = 2000, url = {http://citeseer.ist.psu.edu/136349.html}, local_url = {kurganov2000.ps.gz} } @Article{kupferman97, author = {R. Kupferman and E. Tadmor}, title = {A fast high-resolution second-order central scheme for incompressible flows}, journal = {Proc. Nat. Acad. Sci.}, year = 1997, url = {http://citeseer.ist.psu.edu/kupferman97fast.html}, local_url = {kupferman97.ps.gz} } %section="Godunov methods" @Article{leveque98, author = {Randall J. LeVeque}, title = {Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods: The Quasi-Steady Wave-Propagation Algorithm}, journal = {J. Comput. Phys.}, year = 1998, volume = 146, number = 1, pages = {346-365}, url = {http://citeseer.ist.psu.edu/leveque98balancing.html}, local_url = {leveque98.ps.gz} } @Article{minion96-2, author = {M. L. Minion}, title = {On the stability of Godunov-projection methods for incompressible flow}, journal = {J. Comput. Phys.}, year = {1996}, url = {http://citeseer.ist.psu.edu/minion96stability.html}, local_url = {minion96-2.ps.gz} } @Article{bell92, author = {J. B. Bell and D. L. Marcus}, title = {A second-order projection method for variable density flows}, journal = {J. Comput. Phys.}, year = 1992, volume = 101, pages = {334-348} } @Article{colella90, author = {P. Colella}, title = {A multidimensional second order Godunov scheme for conservation laws}, journal = {J. Comput. Phys.}, year = 1990, volume = 87, pages = {171-200} } @Article{bell89, author = {J. B. Bell and P. Colella and H. M. Glaz}, title = {A second-order projection method for the incompressible Navier-Stokes equations}, journal = {J. Comput. Phys.}, year = 1989, volume = 85, pages = {257-283} } %section="Interfacial flows" @InBook{kothe99, author = {D. Kothe}, editor = {H. Kuhlmann and H. Rath}, title = {Perspective on Eulerian finite volume methods for incompressible interfacial flows}, chapter = {Free Surface Flows}, publisher = {Springer-Verlag}, year = 1999, address = {New York}, pages = {267-331}, url = {http://citeseer.ist.psu.edu/kothe99perspective.html}, local_url = {kothe99.ps.gz} } @Article{puckett97, author = {E. Puckett and A. Almgren and J. Bell and D. Marcus and W. Rider}, title = {A high-order projection method for tracking fluid interfaces in variable density incompressible flows}, journal = {J. Comput. Phys.}, year = 1997, volume = 130, pages = {269-282}, url = {http://citeseer.ist.psu.edu/293459.html}, local_url = {puckett97.ps.gz} } @InProceedings{rider94, author = {W. Rider and D. Kothe and S. Mosso and J. Cerutti and J. Hochstein}, title = {Accurate solution algorithms for incompressible multiphase flows}, booktitle = {Proceedings of the 33rd AIAA Aerospace Science Meeting and Exhibit}, year = 1995, url = {http://citeseer.ist.psu.edu/rider94accurate.html}, local_url = {rider94.ps.gz} } @Article{gueyffier98, author = {D. Gueyffier and A. Nadim and J. Li and R. Scardovelli and S. Zaleski}, title = {Volume of fluid interface tracking with smoothed surface stress methods for three-dimensional flows}, year = 1998, volume = 152, pages = {423-456}, journal = {J. Comput. Phys.}, url = {http://www.math.vt.edu/people/jie/Publications/plic3d.pdf} } %section="Mesh generation" @TechReport{aftosmis, author = {M. J. Aftosmis and M. J. Berger and J. E. Melton}, title = {Robust and efficient cartesian mesh generation for component-based geometry}, institution = {U.S. Air Force Wright Laboratory}, number = {AIAA-97-0196}, year = 1997, url = {http://www.nas.nasa.gov/~aftosmis/publications/AIAA-97-0196.pdf}, local_url = {aftosmis.pdf} } %section="Graph partitioning @Article{diekmann00, author = {R. Diekmann and R. Preis and F. Schlimbach and C. Walshaw}, title = {Shape-optimized mesh partitioning and load balancing for parallel adaptive FEM}, journal = {Parallel Computing}, year = 2000, volume = 26, pages = {1555-1581}, url = {http://www.uni-paderborn.de/cs/ag-monien/PUBLICATIONS/POSTSCRIPTS/DPSW99.parco.ps.gz}, local_url = {diekmann00shapeoptimized.ps.gz} }