# 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}

}