Numerical simulation of inviscid compressible flow by higher order numerical schemes

TL;DRAbstract

We deal with a numerical simulation of inviscid compressible flow by higher order methods. We present a semi-implicit scheme which is based on the discontinuous Galerkin method for the space discretization and the backward difference formula for the time discretization. Further, we discuss and compare a use of two types of nonreflecting boundary conditions at inflow/outflow parts of boundary. Finally, an example of nonstationary subsonic flow simulation demonstrating an efficiency of the scheme is presented.

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