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Apr 18, 2024
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MEC 6880 - Computational Fluid Mechanics3 lecture hours 0 lab hours 3 credits
Course Description
This course builds a fundamental understanding of the underlying partial differential equations for fluid flow and provides experience with the numerical tools available for solving fluid flow problems. The topics covered include formulation of the Navier-Stokes equations, potential flow, finite volume methods (focusing on spatial discretization and numerical diffusion as well as the SIMPLE algorithm for pressure velocity coupling), and an overview of various RANS turbulence models. Students will have access to commercial software (such as ANSYS FLUENT) to employ and solve certain flow problems. (prereq: MEC 3120 or equivalent, graduate standing)
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
- Demonstrate a fundamental understanding of the underlying PDEs for fluid flow
- Familiarize with various types of boundary conditions and apply appropriately to a flow domain
- Develop programs for solving mass and momentum equations in 2D flows and analyze numerical results
- Articulate the differences and applicability of various turbulence models
- Perform runs and interpret results of various flows in CFD
- Determine good balance between time/computer resources and the output accuracy
Prerequisites by Topic
Course Topics
- The role of computational fluid dynamics in engineering applications and research
- Review of partial differential equations and finite differencing schemes
- Governing equations of fluid flow: equations of motion, Navier-Stokes equations
- Finite volume method for diffusion, finite volume method for convection-diffusion
- Finite volume method for unsteady flows: explicit and implicit
- Pressure-velocity coupling, staggered grids, SIMPLE, SIMPLER, and the related algorithms
- Introduction to turbulence modeling, generalized transport equations, and model equation
- Illustration by worked examples, the variety and the complexity of possible applications of CFD
- Discussions on a course project that solves a fluid flow problem employing a numerical technique and software, with selections of a discretization scheme, a pressure-velocity coupling scheme, a viscous (turbulence) model and boundary conditions. Results must be verified to be insensitive to grid size and time step
Coordinator
Dr. Subha Kumpaty
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