#### Fluid flow in a temperature-stratified, parametrically forced regime

This project is a synthesis of the author's learning over the semesters in working with the CFD Group at Arizona State University. The incompressible Navier-Stokes equations are overviewed, starting with…

This project is a synthesis of the author's learning over the semesters in working with the CFD Group at Arizona State University. The incompressible Navier-Stokes equations are overviewed, starting with the derivation from the continuity equation, then non-dimensionalization, methods of solving and computing quantities of interest. The rest of this document is expository analysis of solutions in a confined fluid flow, building toward a parametrically forced regime that generates complex flow patterns including Faraday waves. The solutions come from recently published studies Dynamics in a stably stratified tilted square cavity (Grayer et al.) and Parametric instabilities of a stratified shear layer (Buchta et al).

**Contributors**

- Buchta, Matthew Ryan (Author)
- Welfert, Bruno (Thesis director)
- Yalim, Jason (Committee member)
- Lopez, Juan (Committee member)
- School of Mathematical and Statistical Sciences (Contributor, Contributor)
- Barrett, The Honors College (Contributor)

**Created**

- 2021-05