Journal
COMMUNICATIONS IN APPLIED MATHEMATICS AND COMPUTATIONAL SCIENCE
Volume 8, Issue 1, Pages 99-122Publisher
MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/camcos.2013.8.99
Keywords
Cartesian grid embedded boundaries; compressible Navier-Stokes; block-structured adaptive mesh refinement
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Funding
- Office of Advanced Scientific Computing Research of the US Department of Energy [DE-AC02-05CH11231]
- U.S. Department of Energy by LBNL [DE-AC52-07NA27344]
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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.
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