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This abstract presents the study of compressible flow around a cylinder with heat transfer. The numerical simulations are carried out using a high-order finite volume solver using moving least squares (MLS) reconstruction for unstructured grids. It focuses on the determination of the global and local heat transfer coefficients and their dependances with Reynolds number, Mach number and the temperature ratio. An isothermal no-slip boundary condition is imposed on the cylinder surface. The simulations and post processing procedures are first validated using adiabatic conditions and compared with the available results of drag and lift coefficients. Then, Nusselt number is computed for several Reynolds numbers. The results are in good agreement with experimental correlations. Furthermore, the influence of Mach number on the heat transfer around the cylinder is compared with the existing literature results and analyzed with regards to viscosity and fluid thermal conductivity variations.

modeling, simulation, numerical methods