An Implicit Pressure Correction Method for Incompressible Navier-Stokes Equations on Unstructured Cartesian Grids

Abstract

An implicit pressure correction method on unstructured Cartesian grid is developed for the incompressible Navier-Stokes equations. An immersed boundary method is also incorporated to treat the body geometry. The pressure Poisson equation is solved by a multi-grid method. A fourth order artificial dissipation is added to the pressure field to suppress the even-odd decoupling. Tests show that with an appropriate amount of dissipation, the method is second order accurate both in time and space. The driven cavity flows with and without immersed bodies are computed to demonstrate the capability of the present scheme.

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Document Details

Document Type
Technical Report
Publication Date
Apr 14, 2005
Accession Number
ADA447107

Entities

People

  • Dartzi Pan

Organizations

  • National Cheng Kung University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Boundaries
  • Computational Fluid Dynamics
  • Decoupling
  • Dissipation
  • Dynamics
  • Equations
  • Flow Fields
  • Fluid Dynamics
  • Iterations
  • Momentum
  • Navier Stokes Equations
  • Poisson Equation
  • Pressure Distribution
  • Pressure Gradients
  • Reynolds Number

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space