## An Adaptively-Refined, Cartesian, Cell-Based Scheme for the Euler and Navier-Stokes Equations (1994)

Citations: | 11 - 0 self |

### BibTeX

@TECHREPORT{Coirier94anadaptively-refined,,

author = {William John Coirier},

title = {An Adaptively-Refined, Cartesian, Cell-Based Scheme for the Euler and Navier-Stokes Equations},

institution = {},

year = {1994}

}

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### Abstract

A Cartesian, cell-based scheme for solving the Euler and Navier-Stokes equations in two dimensions is developed and tested. Grids about geometrically complicated bodies are generated automatically, by recursive subdivision of a single Cartesian cell encompassing the entire flow domain. Where the resulting cells intersect bodies, polygonal "cut" cells are created. The geometry of the cut cells is computed using polygon-clipping algorithms. The grid is stored in a binarytree data structure which provides a natural means of obtaining cell-to-cell connectivity and of carrying out solution-adaptive refinement. The Euler and Navier-Stokes equations are solved on the resulting grids using a finite-volume formulation. The convective terms are upwinded, with a limited linear reconstruction of the primitive variables used to provide input states to...