refs.bib

@ARTICLE{colella:1990,
   author = {{Colella}, P.},
    title = "{Multidimensional upwind methods for hyperbolic conservation laws}",
  journal = {Journal of Computational Physics},
 keywords = {ADVECTION, BOUNDARY VALUE PROBLEMS, COMPUTATIONAL GRIDS, CONSERVATION LAWS, FINITE DIFFERENCE THEORY, HYPERBOLIC FUNCTIONS, ALGORITHMS, CAUCHY PROBLEM, PREDICTOR-CORRECTOR METHODS},
     year = 1990,
    month = mar,
   volume = 87,
    pages = {171-200},
      doi = {10.1016/0021-9991(90)90233-Q},
   adsurl = {http://adsabs.harvard.edu/abs/1990JCoPh..87..171C},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{colella:1984,
  title = {The Piecewise Parabolic Method (PPM) for gas-dynamical simulations},
  journal = {Journal of Computational Physics},
  volume = {54},
  number = {1},
  pages = {174-201},
  year = {1984},
  issn = {0021-9991},
  doi = {https://doi.org/10.1016/0021-9991(84)90143-8},
  url = {https://www.sciencedirect.com/science/article/pii/0021999184901438},
  author = {Phillip Colella and Paul R Woodward},
}

@ARTICLE{mccorquodalecolella,
   author = {{McCorquodale}, P. and {Colella}, P.},
  title = "{A high-order finite-volume method for conservation laws on
                  locally refined grids}",
   journal = {Communication in Applied Mathematics and Computational Science},
    year = {2011},
   volume = {6},
  number = {1},
  pages = {1--25}
}

@article{ZALESAK1979335,
title = "Fully multidimensional flux-corrected transport algorithms for fluids",
journal = "Journal of Computational Physics",
volume = "31",
number = "3",
pages = "335 - 362",
year = "1979",
issn = "0021-9991",
doi = "https://doi.org/10.1016/0021-9991(79)90051-2",
url = "http://www.sciencedirect.com/science/article/pii/0021999179900512",
author = "Steven T Zalesak",
abstract = "The theory of flux-corrected transport (FCT) developed by Boris and Book [J. Comput. Phys. 11 (1973) 38; 18 (1975) 248; 20 (1976) 397] is placed in a simple, generalized format, and a new algorithm for implementing the critical flux limiting stage' in multidimensions without resort to time splitting is presented. The new flux limiting algorithm allows the use of FCT techniques in multidimensional fluid problems for which time splitting would produce unacceptable numerical results, such as those involving incompressible or nearly incompressible flow fields. The “clipping” problem associated with the original one dimensional flux limiter is also eliminated or alleviated. Test results and applications to a two dimensional fluid plasma problem are presented."
}

@article{stoker:1958,
  author = {Stoker,J. J.  and Lindsay,R. Bruce },
  title = {Water Waves},
  journal = {Physics Today},
  volume = {11},
  number = {8},
  pages = {28-30},
  year = {1958},
  URL = {https://pubs.aip.org/physicstoday/article/11/8/28/927415/Water-Waves}
}

@article{chao:1999,
  author = {Chao Wu  and Guofu Huang  and Yonghong Zheng },
  title = {Theoretical Solution of Dam-Break Shock Wave},
  journal = {Journal of Hydraulic Engineering},
  volume = {125},
  number = {11},
  pages = {1210-1215},
  year = {1999}
}

@ARTICLE{bellcolellaglaz:1989,
       author = {{Bell}, John B. and {Colella}, Phillip and {Glaz}, Harland M.},
        title = "{A Second Order Projection Method for the Incompressible Navier-Stokes Equations}",
      journal = {Journal of Computational Physics},
         year = 1989,
        month = dec,
       volume = {85},
       number = {2},
        pages = {257-283},
          doi = {10.1016/0021-9991(89)90151-4},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1989JCoPh..85..257B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{martincolella:2000,
       author = {{Martin}, Daniel F. and {Colella}, Phillip},
        title = "{A Cell-Centered Adaptive Projection Method for the Incompressible Euler Equations}",
      journal = {Journal of Computational Physics},
     keywords = {adaptive mesh refinement},
         year = 2000,
        month = sep,
       volume = {163},
       number = {2},
        pages = {271-312},
          doi = {10.1006/jcph.2000.6575},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2000JCoPh.163..271M},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{minion:1996,
       author = {{Minion}, Michael L.},
        title = "{A Projection Method for Locally Refined Grids}",
      journal = {Journal of Computational Physics},
         year = 1996,
        month = aug,
       volume = {127},
       number = {1},
        pages = {158-178},
          doi = {10.1006/jcph.1996.0166},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1996JCoPh.127..158M},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{ghia1982,
       author = {{Ghia}, U. and {Ghia}, K.~N. and {Shin}, C.~T.},
        title = "{High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method}",
      journal = {Journal of Computational Physics},
     keywords = {Computational Fluid Dynamics, Computational Grids, High Reynolds Number, Incompressible Flow, Navier-Stokes Equation, Algorithms, Computer Programs, Partial Differential Equations, Velocity Distribution, Fluid Mechanics and Heat Transfer},
         year = 1982,
        month = dec,
       volume = {48},
       number = {3},
        pages = {387-411},
          doi = {10.1016/0021-9991(82)90058-4},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1982JCoPh..48..387G},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@Inbook{Kuhlmann2019,
  author="Kuhlmann, Hendrik C.
  and Roman{\`o}, Francesco",
  editor="Gelfgat, Alexander",
  title="The Lid-Driven Cavity",
  bookTitle="Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics",
  year="2019",
  publisher="Springer International Publishing",
  address="Cham",
  pages="233--309",
  isbn="978-3-319-91494-7",
  doi="10.1007/978-3-319-91494-7_8",
}