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Suitable Formulations of Lagrange Remap Finite Volume Schemes for Manycore/GPU Architectures

  • Thibault Gasc
  • Florian De Vuyst
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 78)

Abstract

This paper is dedicated to Lagrange-Remap schemes (also referred to as Lagrange-Euler schemes) and their suitable formulations for manycore/GPU architectures. High performance computing efficiency requires a suitable balance between floating point operations and memory accesses, uniform compactly supported stencils, memory alignment, SIMD-based instructions and minimal dereferencing into memory. We provide various formulations, from the basis geometrical remapping to remap by flux balances and operator splitting variant approach. We present numerical experiments of two-dimensional Euler hydrodynamics on Cartesian grids up to \(2048^2\) cells and provide performance results.

Keywords

Riemann Solver Pressure Wave Propagation Implicit Discretization Finite Volume Formalism Gradient Reconstruction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Maison de la Simulation, USR 3441, CEA - CNRS - INRIA - University Paris - Sud - University VersaillesGif-sur-YvetteFrance
  2. 2.CEA DIF Bruyère-le-ChâtelArpajonFrance
  3. 3.Centre de Mathématiques et de Leurs ApplicationsCMLA UMR 8536, ÉNS CACHANCachanFrance

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