Chapter

A Cartesian Cut-Cell Solver for Compressible Flows

DOI: 10.1007/978-3-642-17770-5_27

ABSTRACT A Cartesian cut-cell solver is presented to simulate two- and three-dimensional viscous, compressible flows on arbitrarily
refined graded meshes. The finite-volume method uses cut cells at the boundaries rendering the method strictly conservative
and is flexible in terms of shape and size of embedded boundaries. A linear least-squares method is used to reconstruct the
cell center gradients in irregular regions of the mesh such that the surface flux can be formulated. The accuracy of the method
is demonstrated for the three-dimensional laminar flow past a sphere.

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