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Three dimensional compressible viscous flow computation based on HLLC Riemann solver and overset grids

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Abstract

The study of high resolution method on accurate capture of shock and vortex wake remains one of the most challenging tasks in the computational fluid dynamics field. A numerical method is developed to simulate three dimensional compressible viscous transonic flow fields based on HLLC approximate Riemann solver. Convective terms of the Reynolds averaged Navier-Stokes equations are solved by HLLC solver. To improve accuracy, fifth-order weighted essentially non-oscillatory scheme is adopted. The scheme is carried out to compute flows around three dimensional fixed wings, and then successfully extended to the hovering rotor by combining the static overset grids where fifth-order interpolation directly performed in hole boundary conditions and artificial boundary conditions. Results obtained reveal that the developed method not only can well capture shock but also has high resolution for tip vortices.

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