An implicit time integration, high-order discontinuous Galerkin method is assessed on the DNS of the flow in the T106C cascade at low Reynolds number. This code, aimed at providing high orders of accuracy on unstructured meshes for DNS and LES simulations on industrial geometries, was previously successfully assessed on fundamental, academic test cases. The computational results are compared to the experimental values and literature, and the obtained flow field characteristics are discussed. Although adequate resolution is supposed to be attained, discrepancies with respect to the experiment are found. These differences were furthermore consistently found by all authors in the workshop on high-order methods for CFD. The origins are therefore conjectured to result from insufficient adequation between computational setup and experiments, as no modeling is assumed. A plan for further investigation is proposed.
The development of a high-order CFD solver for LES of turbomachinery is discussed. It is integrated in a flexible multiphysics platform Argo based on the discontinuous Galerkin Method. The DGM bridges the gap between the flexibility of the industrial solvers and the accuracy of the academic methods, as it is able to reach high order of accuracy on fully unstructured and hybrid meshes. Due to its inherent data locality, it also features high serial and parallel efficiency. The method provides a natural framework for adaptation of mesh size and interpolation order, which can be used later to further reduce computational cost and at the same time increase reliability of industrial DNS and LES. The paper mainly focuses on the physical modelling aspects and their interaction with the discretisation. In particular implicit LES and wall modelling is discussed. The approaches are tested on the wall-resolved and modelled LES of the turbulent channel flow. Finally the approach is applied to resolved LES of the near-transonic transitional flows in a low-pressure turbine cascade at Re = 9.4 × 104 and a compressor cascade at Re = 6.0 × 105. Either cases feature the full span and include end wall effects.
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