Graves, Daniel T.; Colella, Phillip; Modiano, David; Johnson, Jeffrey; Sjogreen, Bjorn; Gao, Xinfeng A Cartesian grid embedded boundary method for the compressible Navier-Stokes equations. (English) Zbl 1282.76006 Commun. Appl. Math. Comput. Sci. 8, No. 1, 99-122 (2013). Summary: 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. Cited in 6 Documents MSC: 76-04 Software, source code, etc. for problems pertaining to fluid mechanics 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76D05 Navier-Stokes equations for incompressible viscous fluids Keywords:Cartesian grid embedded boundaries; compressible; Navier-Stokes; block-structured adaptive mesh refinement PDFBibTeX XMLCite \textit{D. T. Graves} et al., Commun. Appl. Math. Comput. Sci. 8, No. 1, 99--122 (2013; Zbl 1282.76006) Full Text: DOI