Accuracy Assessment of the Cartesian grid method for compressible inviscid flows using a simplified ghost point treatment
Peer reviewed, Journal article
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Original versionRakenteiden Mekaniikka. 2011, 44 (3), 279-291.
We introduce a new approach to treat ghost points near embedded boundaries tosolve the 2D compressible Euler equations on a Cartesian grid. Solid wall boundary conditionsare imposed by our new approach called simplified ghost pointtreatment for compressible invis-cid flows with embedded boundaries. In the simplified ghost point treatment, we assume the solidboundary to lie in the middle between two grid points in they-direction. Symmetry conditionsare used to determine density, pressure, wall tangential, and wall normal velocity componentsat the ghost points. A cell-vertex finite volume formulationhas been used to calculate transonicinternal flows over a circular arc bump in a channel.