The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility

The development of an explicit unstructured grid finite-volume scheme for solving the full incompressible Navier-Stokes equations along with the energy equation in a strongly coupled manner is presented. The Boussinesq approximation is utilized to account for thermal buoyancy. The method of artificial compressibilty is used to solve the resulting equations in a time marching fashion. Roe's approximate Riemann solver is used for the construction of the numerical flux. An eigensystem is derived for the flux Jacobian matrix, which is used in the evaluation of the numerical flux and the characteristic variable boundary conditions. The resulting algorithm is validated by simulating canonical test cases from the three regimes of convective heat transfer. The computed solutions are in close agreement with analytical solutions and other benchmark computations.

Grantor dc:publisher

University of Tennessee at Chattanooga

Author dc:creator

• Kress, Jessica Elaine

Contributors dc:contributor

• Taylor, Lafayette
• Hyams, Daniel; Swafford, Timothy
• College of Engineering and Computer Science

• Navier-Stokes equations

Licence

• https://rightsstatements.org/page/InC/1.0/?language=en

Language dc:language

English, eng

Repository record dc:identifier

https://scholar.utc.edu/theses/44

OAI identifier oai:identifier

oai:scholar.utc.edu:theses-1043