High-fidelity real-time simulation on deployed platforms

  • Huynh D
  • Knezevic D
  • Peterson J
 et al. 
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We present a certified reduced basis method for high-fidelity real-time solution of parametrized partial differential equations on deployed platforms. Applications include in situ parameter estimation, adaptive design and control, interactive synthesis and visualization, and individuated product specification. We emphasize a new hierarchical architecture particularly well suited to the reduced basis computational paradigm: the expensive Offline stage is conducted pre-deployment on a parallel supercomputer (in our examples, the TeraGrid machine Ranger); the inexpensive Online stage is conducted "in the field" on ubiquitous thin/inexpensive platforms such as laptops, tablets, smartphones (in our examples, the Nexus One Android-based phone), or embedded chips. We illustrate our approach with three examples: a two-dimensional Helmholtz acoustics "horn" problem; a three-dimensional transient heat conduction "Swiss Cheese" problem; and a three-dimensional unsteady incompressible Navier-Stokes low-Reynolds-number "eddy-promoter" problem. © 2011.

Author-supplied keywords

  • A posteriori error bounds
  • Deployed platforms
  • High-performance computing
  • Parametrized partial differential equations
  • Real-time computing
  • Reduced basis method

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  • D. B.P. Huynh

  • D. J. Knezevic

  • J. W. Peterson

  • A. T. Patera

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