Abstract

An adaptive finite element method for solving compressible turbulent flows up to transonic regime is presented. Pressure-based methods previously developed for laminar compressible flows and turbulent incompressible flows are combined to solve compressible turbulent flows. Turbulence is incorporated via the κ-e model. The algorithm uses the logarithms of κ and e as computational variables to preserve positivity. Solutions are obtained in primitive variables using quadratic finite elements on unstructured grids. The error is estimated by a local projection method. The solution algorithm and error estimation are validated on problems with known analytical solutions. The method is then applied to compressible subsonic and transonic flows and predictions are compared with experimental measurements

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