Trust-Region Proper Orthogonal Decomposition for Flow Control

Abstract

The proper orthogonal decomposition (POD) is a model reduction technique for the simulation of physical processes governed by partial differential equations, e.g., fluid flows. It can also be used to develop reduced order control models. Fundamental is the computation of POD basis functions that represent the influence of the control action on the system in order to get a suitable control model. We present an approach where suitable reduced order models are derived successively and give global convergence results.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 2000
Accession Number
ADA377382

Entities

People

  • E. Arian
  • E. W. Sachs
  • M. Fahl

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Computations
  • Convergence
  • Decomposition
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of State
  • Flow
  • Fluid Flow
  • Guarantees
  • Hypervelocity Flow
  • Iterations
  • Navier Stokes Equations
  • Partial Differential Equations
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Information Retrieval
  • Operations Research