Fictitious Domain Methods for Viscous Flow Simulation

Abstract

We discuss the fictitious domain solution of the Navier-Stokes equations modelling unsteady incompressible viscous flow. The method is based on a Lagrange multiplier treatment of the boundary conditions to be satisfied and is particularly well suited to the treatment of no-slip boundary conditions. This approach allows the use of structured meshes and fast specialized solvers for problems on complicated geometries. Another interesting feature of the fictitious domain approach is that it allows the solution of optimal shape problems without regriding. The resulting methodology is applied to the solution of flow problems including external viscous flow past oscillating rigid body and vortex dynamics of two-dimensional flow modelled by the incompressible Navier-Stokes equations and then to an optimal shape problem for Stokes and Navier-Stokes flows.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1995
Accession Number
ADA445628

Entities

People

  • Anthony J. Kearsley
  • Jacques Periaux
  • Roland Glowinsky
  • Tsorng-whay Pan

Organizations

  • Rice University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Boundaries
  • Equations
  • Flow
  • Geometry
  • Information Operations
  • Mathematics
  • Navier Stokes Equations
  • Simulations
  • Two Dimensional
  • Two Dimensional Flow
  • Viscous Flow

Readers

  • Computational Fluid Dynamics (CFD)
  • Fluid Dynamics.