High-Order Methods Including Discontinuous Galerkin by Reconstructions on Triangular Meshes

2011 ◽  
Author(s):  
HT Huynh
Keyword(s):  
Discontinuous Galerkin ◽  
High Order ◽  
Triangular Meshes ◽  
High Order Methods

scholarly journals Asynchronous communication in spectral-element and discontinuous Galerkin methods for atmospheric dynamics – a case study using the High-Order Methods Modeling Environment (HOMME-homme_dg_branch)

2016 ◽  
Vol 9 (8) ◽  
pp. 2881-2892 ◽  
Author(s):  
Benjamin F. Jamroz ◽  
Robert Klöfkorn
Keyword(s):  
Discontinuous Galerkin ◽  
Large Scale ◽  
Discontinuous Galerkin Methods ◽  
Spectral Element ◽  
Asynchronous Communication ◽  
High Order ◽  
Galerkin Methods ◽  
High Order Methods ◽  
Data Movement ◽  
Modeling Environment

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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