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Analysis and Application of Advanced Algorithm for Aeronautical Flows

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Advanced high order methods using Spectral/hp element discretization including Galerkin, Discontinuous Galerkin (DG) and Flux Reconstruction (FR) formulations are gaining notable interest in both the academic and industrial sectors. The compact nature of the approach is not only attractive from the perspective of implementation on modern computational hardware but also provides a consistent geometric and spatially localized accuracy unlike many high order finite volume methods. These features make the methodology attractive in complex geometry flows involving transitional and turbulent boundary layers demanding a high level of accuracy for high end engineering applications that commonly arise in the aeronautical sector.

In this presentation, we will present our current work on developing a spectral/hp element implicit compressible flow solver for aeronautically related application. The demands of handling “industrial strength” complex geometries at high Reynolds numbers necessarily leads to severe time step restrictions when using explicit time stepping approaches. We have therefore developed a Jacobian-Free-Newton-Krylov (JFNK) implicit solver which makes use of the explicit technique but still require the suitable preconditioners that can be demanding from a memory footprint perspective. After motivating the need for this type of solver we will outline the implementation challenges behind the scheme and demonstrate the suitability of the approach for a number of representative examples.

Spencer Sherwin is the Professor of Computational Fluid Mechanics and Head of the Aerodynamics Section in the Department of Aeronautics at Imperial College London. He is a Fellow of the Royal Academy of Engineering, the American Physical Society and the Royal Aeronautical Society. Over the past 25 years he has specialised in the development and application of advanced parallel spectral/hp element methods for flow around complex geometries with a particular emphasis on transitional, vortical and bluff body flows, biomedical modelling of the cardiovascular system as well as the application of these methods to industrial practice through partnership with McLaren Racing/Automotive and Rolls Royce.

This talk is part of the Fluid Mechanics (CUED) series.

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