Numerical Behavior of the Discontinuous Galerkin Method in Incompressible Fluid Flow Simulations for Low Reynolds Number

Author(s):  
Francisco Augusto Aparecido Gomes ◽  
Paulo Rogério Novak ◽  
Aureo Quintas Garcia ◽  
Mildred Ballin Hecke ◽  
Fernando José da Silva
Author(s):  
Koen Hillewaert ◽  
Corentin Carton de Wiart ◽  
Guillaume Verheylewegen ◽  
Tony Arts

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.


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