Computational Tools for Distributed Parameter Control Systems

Abstract

The first phase of the design and development of a Computer Aided Design (CAD) tool for distributed parameter control systems has been finished. The kernel of the design tool has been designed and implemented for the two dimensional situation. It is capable of modeling and simulating arbitrary systems described by partial differential equations. The implementation is based on a finite element method using fictitious domains and is written in C++. As such, the kernel can employ a regular grid for all problem geometries and simulate moving and/or deforming bodies without regridding. We pay particular attention to the application of viscous, fluid flow control. The design of an incompressible, viscous, fluid flow simulator using the CAD kernel equations is presented in detail. Analytical work on the control flow problem is also presented. The work is based upon perturbation and asymptotic methods as well as analysis using differential geometry and Mathematica. The objective here is to determine analytic principles on which to base a feedback controller for flow control. The simulator would then be used to test the designs.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1998
Accession Number
ADA342583

Entities

People

  • Christopher K. Allen
  • Gilmer Blankenship

Tags

Communities of Interest

  • Autonomy
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programming
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Differential Equations
  • Differential Geometry
  • Finite Element Analysis
  • Fluid Flow
  • Geometry
  • Partial Differential Equations
  • Simulators
  • Three Dimensional
  • Topology
  • Two Dimensional

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Software Engineering.