Efficient Finite Element Solution of Navier-Stokes Equations and Related Topics

Abstract

Research efforts were directed towards a number of different topics connected with numerical methods for incompressible fluid flows. The subject groupings were as follows: 1. Finite element techniques (7 Papers) Stability of discretizations, Stream function methods and pressure recovery, Nonconforming schemes. 2. Vortex techniques (3 Papers) Higher order vortex algorithms, Analysis and computation. 3. Solution algorithms (5 Papers) Deflated conjugate gradients, Iterative methods for arbitrary meshes, Domain decomposition methods. 4. Fluid mechanics and phase transitions (3 Papers) Cahn-Hilliard equation analysis and algorithms, Stationary and evolutionary cases. 5. Complementary volume methods (2 Papers) Vorticity-velocity methods, Primitive variable methods. 6. Control theory (1 Paper).

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1989
Accession Number
ADA211647

Entities

People

  • R. A. Nicolaides

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Control Theory
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Flow
  • Fluid Flow
  • Fluid Mechanics
  • Mechanics
  • Navier Stokes Equations
  • Numerical Analysis
  • Partial Differential Equations
  • Phase Transformations
  • Recovery
  • Viscous Flow

Fields of Study

  • Engineering

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)