Development of a Unified-LES methodology for high-speed turbulent flows with shocks
Location : CORIA Laboratory, Rouen, France – www.coria-cfd.fr
Duration : 36 months
Contact : firstname.lastname@example.org
High speed flows in which turbulence and shock waves mutually interact remain a
challenging task for numerical methods. This is especially true in the case of largeeddy
simulation (LES), in which the spatial and temporal resolutions are selected
such as to provide a direct representation of the energy-containing flow structures
and where models for unresolved scales of different nature have to coexist.
In the case of high-speed flows, the development of efficient and accurate models for the unresolved sub-grid interactions can be extremely challenging due to the very different flow phenomena that can be involved. Typically, different models are adopted for turbulence and discontinuities, a segregated approach which leads to model interference and may produce unpredictable effects on the accuracy of the solution.
The research group has extensive experience in the context of high-order discontinuous finite elements (DFE) methods for unstructured meshes, with particular emphasis in the development of an MPI parallelized fortran 90 solver for compressible flows, based on the high-order spectral difference (SD) scheme for unstructured hexahedral elements. Recently efforts, in particular, have been focusing in developing robust and efficient shock-capturing and sub-grid scale modeling approaches which are specifically conceived to be used with DFE schemes. Both approaches make intensive use of modal detection techniques, which are particularly well suited for high-order DFE methods.
The objective of the proposed PhD Thesis is to develop a unified-LES methodology to enable high-fidelity numerical simulations of high-speed turbulent flows. Extensions of such approach are also envisaged to deal with material interfaces for applications to detonations. The project will focus on the generalization of state-of-theart modeling techniques for DFE schemes to fully compressible flows and on the development of a unified modal detection approach for DFE methods which is able to detect and recognize under-resolved turbulence and shock waves, and to provide the most correct blend of dissipation to allow a physically consistent representation of the relevant mutual interactions.
The candidate should hold a MSc degree in Engineering (Aeronautical, Mechanical),
Physics, Applied Mathematics or other related fields showing evidence of deep
knowledge of continuum transport models and numerical methods.
Knowledge in computer language and algorithm development is required. An experience in numerical simulation, high-performance computing, high-order schemes for computational fluid dynamics is a major plus.
Applicants must have good English communications and writing skills as demonstrated through sufficiently high TOEFL/TOEIC scores (or equivalent). Knowledge of French language is a plus, but not mandatory.
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