Development of a Three-Dimensional Unstructured Euler Solver for High-Speed Flows

Journal Title: INCAS BULLETIN - Year 2015, Vol 7, Issue 4

Abstract

This paper addresses the solution of the compressible Euler equations on hexahedral meshes for supersonic and hypersonic flows. Spatial discretization is accomplished by a cell-centered finite-volume formulation which employs two different upwind schemes for the computation of convective fluxes. Second-order solutions are attained through a linear state reconstruction technique that yields highly resolved flows in smooth regions while providing a sharp and clean resolution of shocks. The solution gradients required for the higher-order spatial discretization are estimated by a least-square method while Venkatakrishnan limiter is employed to preserve monotonicity and avoid oscillations in the presence of shocks. Furthermore, solutions are advanced in time by an explicit third-order Runge-Kutta scheme and convergence to steady state is accelerated using implicit residual smoothing. Flow around a circular arc in a channel and flow past a circular cylinder are studied and results are presented for various Mach numbers together with comparisons to theoretical and experimental data where possible.

Authors and Affiliations

Tudorel AFILIPOAE, Marius STOIA-DJESKA

Keywords

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  • EP ID EP159101
  • DOI 10.13111/2066-8201.2015.7.4.1
  • Views 111
  • Downloads 0

How To Cite

Tudorel AFILIPOAE, Marius STOIA-DJESKA (2015). Development of a Three-Dimensional Unstructured Euler Solver for High-Speed Flows. INCAS BULLETIN, 7(4), 3-18. https://europub.co.uk/articles/-A-159101