High-Fidelity Real-Time Simulation on Deployed Platforms

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Aug 26, 2010
Accession Number
ADA557527

Entities

People

  • A. T. Patera
  • D. B. Huynh
  • D. J. Knezevic
  • J. W. Peterson

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Acoustics
  • Algorithms
  • Computational Science
  • Computer Programming
  • Computer Programs
  • Computers
  • Deployment
  • Differential Equations
  • Equations
  • Navier Stokes Equations
  • Partial Differential Equations
  • Platforms
  • Reliability
  • Simulations
  • Smartphones
  • Standards
  • Visualizations

Fields of Study

  • Computer science

Readers

  • Computational Fluid Dynamics (CFD)
  • Distributed Systems and Data Platform Development
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)