Below is a list of courses taught by Dr. Vedula. Please visit the school bulletin for a complete list of courses offered in the Mechanical Engineering Department.
MECE E3100 Introduction to Mechanics of Fluids
This introductory course in fluid mechanics provides a broad introduction to the fundamental concepts in fluid mechanics including fluid properties, fluid statics, control volumes and surfaces, kinematics of fluid motion, conservation of mass, linear momentum, Bernoulli’s equation and applications, dimensional analysis, the Navier-Stokes equations, laminar and turbulent viscous flows, internal and external flows, and lift and drag. Emphasis is on mathematical formulation, engineering applications, and problem-solving, as well as developing physical insights into fluid flow.
MECE E4100 Mechanics of Fluids
This is an intermediate-level fluid dynamics course that introduces and develops the fundamental principles governing the flow of fluids and their applications. Topics include basic continuum mechanics, dimensional analysis, transport theorem and control volume analysis, the Navier-Stokes equations, flows at low and high Reynolds numbers, boundary layers and secondary flows, introduction to transition and turbulence, vorticity dynamics, ideal/potential flows, and additional selected topics (aerodynamics, turbomachinery, biofluids).
MECE E6102 Computational Heat Transfer and Fluid Flow
The main learning objectives of this graduate-level course are, (a) to learn techniques to numerically simulate viscous fluid flows and lay the foundation for performing fluid-structure interaction (FSI), and (b) to gain the requisite knowledge to choose the most suitable approach for developing a solver for a given flow configuration. Topics include solving Navier-Stokes equations for incompressible viscous fluid flows using finite differences and finite element methods. Foundational concepts of CFD, including discretization, stability analysis, error dynamics, and variational principles. Special topics include methods for solving complex fluid flows, including immersed boundary methods and the arbitrary Lagrangian-Eulerian approach for performing fluid-structure interaction.
MECE E6106 Finite Element Method for Fluid Flow and Fluid-Structure Interaction
The main learning objective of this advanced graduate-level course is to learn to apply the finite element method to simulate viscous fluid flows and fluid-structure interaction (FSI). Topics covered include solving convection-dominated phenomena using the finite element method (FEM) including the convection-diffusion equation, the Navier-Stokes equation for incompressible viscous flows, and nonlinear FSI. Foundational concepts of FEM include function spaces, strong and weak forms, Galerkin FEM, isoparametric discretization, stability analysis, and error estimates. Mixed FEM for Stokes flow, incompressibility, and inf-sup conditions. Stabilization approaches including residue-based variational multiscale methods. Arbitrary Lagrangian-Eulerian (ALE) formulation for nonlinear FSI, and selected advanced topics of research interest.