A state redistribution algorithm for finite volume schemes on cut cell meshes

In this paper we develop a new technique, called \textit{state redistribution}, that allows the use of explicit time stepping when approximating solutions to hyperbolic conservation laws on embedded boundary grids. State redistribution is postprocessing technique applied after each step or stage base finite volume scheme, using proportional full cells. The idea stabilize cut cells by temporarily merging them into larger, possibly overlapping neighborhoods, then replacing cell values with stabilized value maintains and accuracy. We present examples state two schemes: MUSCL second order Method Lines scheme. used compute several standard test problems in gas dynamics meshes, both smooth discontinuous solutions. show our method does not reduce accuracy scheme it successfully captures shocks non-oscillatory manner.