Numerical Modeling of Two-Dimensional Width-Averaged Flows using Boundary-Fitted Coordinate Systems.

Abstract

Finite-difference solution of two-dimensional, time-dependent width-averaged Navier-Stokes equations, including an algebraic turbulence model, based on a numerically generated boundary-fitted coordinate system, is discussed. This solution, implemented by the WESSEL computer code, is applicable to 2D regions of arbitrary shape, with multiple inlets and outlets, and with obstacles in the interior. A choice of central, upwind, or ZIP differencing of the convective terms is provided. One-sided differencing is used for the continuity equation. The density is taken to be a function of the temperature, and the system of equations forming the model consists of the continuity equation, the two momentum equations, and the energy equation. Arbitrary distribution of velocity and temperature (or density) can be specified on the inlets and outlets. The solution is implicit in time, with the difference equations being solved simultaneously by SOR (successive over-relaxation) iteration at each time step. Pressure is calculated via Chorin's method. Keywords: Boundary-fitted coordinates; Hydrodynamics; Numerical-modeling; Reservoirs; Selective withdrawal; Stratified flow.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1985
Accession Number
ADA160991

Entities

People

  • Joe F. Thompson
  • Robert S. Bernard

Organizations

  • Mississippi State University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Coordinate Systems
  • Difference Equations
  • Differential Equations
  • Equations Of Motion
  • Fluid Dynamics
  • Fluid Flow
  • Heat Transfer
  • Hydrodynamics
  • Hydrostatic Pressure
  • Incompressible Flow
  • Measurement
  • Mechanical Properties
  • Partial Differential Equations
  • Physics Laboratories
  • Two Dimensional

Readers

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