Computational Methods for Problems in Fluid Dynamics

Abstract

The research reported herein addresses the reduced basis method, which is based on the combination of a basic iteractive method and a projection method. The convergence is analyzed and some error bounds are established. The relationship between the reduced basis method and the preconditioned conjugate gradient method is discussed. Also included is a practical implementation of the reduced basis method when a pseudoresidual-based Krylov space is chosen. The final section of this report dwells on the weight selection procedures of hybrid difference methods for the linear convective equation. The procedures are based on the ability of hybrid difference methods to conserve the discrete weighted energy. Keywords: Reduced basis; Linear solver; Contraction number; Projection method; Sparse symmetric linear systems; Hybrid difference methods.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1989
Accession Number
ADA221946

Entities

People

  • So-hsiang Chou

Organizations

  • Bowling Green State University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Chebyshev Polynomials
  • Computational Fluid Dynamics
  • Computational Science
  • Convergence
  • Difference Equations
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Identities
  • Inequalities
  • Linear Systems
  • Mathematics
  • Numbers
  • Partial Differential Equations
  • Scientific Research
  • Symbols

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Linear Algebra
  • Systems Analysis and Design

Technology Areas

  • Space