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Title: Nonstaggered boundary-fitted coordinate method for free surface flows

Abstract

A new approach based on the finite-difference technique has been developed to study the steady incompressible Navier-Stokes equations in the laminar region, where the domain is partially bounded by a free surface. The nonstaggered fractional step method is used to solve the flow equations written in terms of primitive variables. The physical domain is transformed to a rectangle by means of a numerical mapping technique. The location of the phase boundary is accomplished by means of two methods depending on the surface tension effect: the normal-stress boundary condition or the kinematic boundary conditions. The authors have tested the accuracy and efficiency of the numerical method by solving their different test problems: lid-driven flow in an inclined cavity, film in the absence of gravity, the stick-slip problem, and the Newtonian jet swell problem.

Authors:
;
Publication Date:
Research Org.:
Arizona State Univ., Tempe, AZ (US)
OSTI Identifier:
20067733
Alternate Identifier(s):
OSTI ID: 20067733
Resource Type:
Journal Article
Journal Name:
Numerical Heat Transfer. Part B, Fundamentals
Additional Journal Information:
Journal Volume: 37; Journal Issue: 3; Other Information: PBD: Apr-May 2000; Journal ID: ISSN 1040-7790
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; NUMERICAL SOLUTION; LAMINAR FLOW; SURFACE TENSION; BOUNDARY CONDITIONS; SURFACES

Citation Formats

Pacheco, J.R., and Peck, R.E. Nonstaggered boundary-fitted coordinate method for free surface flows. United States: N. p., 2000. Web.
Pacheco, J.R., & Peck, R.E. Nonstaggered boundary-fitted coordinate method for free surface flows. United States.
Pacheco, J.R., and Peck, R.E. Mon . "Nonstaggered boundary-fitted coordinate method for free surface flows". United States.
@article{osti_20067733,
title = {Nonstaggered boundary-fitted coordinate method for free surface flows},
author = {Pacheco, J.R. and Peck, R.E.},
abstractNote = {A new approach based on the finite-difference technique has been developed to study the steady incompressible Navier-Stokes equations in the laminar region, where the domain is partially bounded by a free surface. The nonstaggered fractional step method is used to solve the flow equations written in terms of primitive variables. The physical domain is transformed to a rectangle by means of a numerical mapping technique. The location of the phase boundary is accomplished by means of two methods depending on the surface tension effect: the normal-stress boundary condition or the kinematic boundary conditions. The authors have tested the accuracy and efficiency of the numerical method by solving their different test problems: lid-driven flow in an inclined cavity, film in the absence of gravity, the stick-slip problem, and the Newtonian jet swell problem.},
doi = {},
journal = {Numerical Heat Transfer. Part B, Fundamentals},
issn = {1040-7790},
number = 3,
volume = 37,
place = {United States},
year = {2000},
month = {5}
}