Abstract
We present an unsplit method for the time-dependent compressible Navier–Stokes equations in two and three dimensions. We use a conservative, second-order Godunov algorithm. We use a Cartesian grid, embedded boundary method to resolve complex boundaries. We solve for viscous and conductive terms with a second-order semiimplicit algorithm. We demonstrate second-order accuracy in solutions of smooth problems in smooth geometries and demonstrate robust behavior for strongly discontinuous initial conditions in complex geometries.
Citation
Daniel Graves. Phillip Colella. David Modiano. Jeffrey Johnson. Bjorn Sjogreen. Xinfeng Gao. "A cartesian grid embedded boundary method for the compressible Navier–Stokes equations." Commun. Appl. Math. Comput. Sci. 8 (1) 99 - 122, 2013. https://doi.org/10.2140/camcos.2013.8.99
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