Time integration for extended discontinuous Galerkin methods with moving domains

2017 ◽  
Vol 113 (5) ◽  
pp. 767-788 ◽  
Author(s):  
Florian Kummer ◽  
Björn Müller ◽  
Thomas Utz
Keyword(s):  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Methods ◽  
Time Integration ◽  
Galerkin Methods ◽  
Moving Domains

scholarly journals Asynchronous Communication in Spectral Element and Discontinuous Galerkin Methods for Atmospheric Dynamics

2016 ◽  
Author(s):  
Benjamin F. Jamroz ◽  
Robert Klöfkorn
Keyword(s):  
Discontinuous Galerkin ◽  
Large Scale ◽  
Discontinuous Galerkin Methods ◽  
Time Integration ◽  
Spectral Element ◽  
Asynchronous Communication ◽  
Galerkin Methods ◽  
Data Movement ◽  
Significant Performance ◽  
The Cost

Abstract. The scalability of computational applications on current and next generation supercomputers is increasingly limited by the cost of inter-process communication. We implement non-blocking asynchronous communication in the High-Order Methods Modeling Environment for the time-integration of the hydrostatic fluid equations using both the Spectral Element and Discontinuous Galerkin methods. This allows the overlap of computation with communication effectively hiding some of the costs of communication. A novel detail about our approach is that it provides some data movement to be performed during the asynchronous communication even in the absence of other computations. This method produces significant performance and scalability gains in large-scale simulations.

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