A discontinuous Galerkin method with Hancock-type time integration for hyperbolic systems with stiff relaxation source terms

2009 ◽  
pp. 59-64
Author(s):  
Yoshifumi Suzuki ◽  
Bram van Leer
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Hyperbolic Systems ◽  
Time Integration ◽  
Source Terms ◽  
Stiff Relaxation

Assessment of a High-Order Discontinuous Galerkin Method for the Direct Numerical Simulation of Transition at Low-Reynolds Number in the T106C High-Lift Low Pressure Turbine Cascade

2014 ◽  
Author(s):  
Koen Hillewaert ◽  
Corentin Carton de Wiart ◽  
Guillaume Verheylewegen ◽  
Tony Arts
Keyword(s):  
Reynolds Number ◽  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Low Reynolds Number ◽  
Time Integration ◽  
High Order ◽  
Implicit Time ◽  
Flow Field Characteristics ◽  
Low Reynolds

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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