Navier-Stokes Calculations with a Coupled Strongly Implicit Method. Part 1. Finite-Difference Solutions.

Abstract

Stone's unconditionally stable, strongly implicit numerical method is extended to the 2x2 coupled vorticity-stream function form of the Navier-Stokes equations. The solution algorithm allows for complete coupling of the boundary conditions. Solutions for arbitrary large time steps, and for cell Reynolds numbers much greater than two have been obtained. The method converges quite rapidly without adding artificial viscosity or the necessity for under relaxation. This technique is used here to solve for a variety of internal and external flow problems. Moderate to large Reynolds numbers are considered for both separated and unseparated flows.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA068768

Entities

People

  • Prem K. Khosla
  • Stanley G. Rubin

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Equations
  • Equations Of State
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Navier Stokes Equations
  • Poisson Equation
  • Reynolds Number
  • Steady Flow
  • Steady State
  • Viscous Flow

Fields of Study

  • Physics

Readers

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