A numerical simulation of two-dimensional separated flow in a symmetric open-channel expansion using the depth-integrated two-equation (K-E) turbulence closure model

Many of the free surface flow problems encountered by hydraulic engineers can be suitably analyzed by means of the depth-integrated equations of motion. A consequence of adopting a depth-integrated modeling approach is that closure approximations must be implemented to represent the so-called effective stresses. The effective stresses consist of the depth-integrated viscous stresses, which are usually small and neglected, the depth-integrated turbulent Reynold's stresses, and additional stresses resulting from the depth-integration of the nonlinear convective accelerations (here after called momentum dispersion). Existing closure schemes for momentum dispersion lack sufficient numerical and experimental verification to warrant consideration at this time, so consequently, attention is focused on examining closure for the depth-integrated turbulent Reynold's stresses. In the present study, an application at the depth-integrated (k-ε) turbulence model is presented for separated flow in a wide, shallow, rectangular channel with an abrupt expansion in width. The well-known numerical problems associated with the use of upwind and central finite differences for convection is overcome by the adoption of the spatially third-order accurate QUICK finite difference technique. Results presented show that modification of the depth-integrated (k-ε) turbulence closure model for streamline curvature leads to significant improvement in the agreement between model predictions and experimental measurements.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Civil Engineering

Department dc:contributor.department

Civil Engineering

Grantor dc:publisher

Virginia Polytechnic Institute and State University

Year dc:date.issued

1982

Author dc:creator

• Chapman, Raymond Scott

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en_US

Handle dc:identifier.uri

http://hdl.handle.net/10919/77764

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/77764