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Below is a list of classes taught by Prof. Pierre Lermusiaux

Term Subject Class Title Description

Spring 2019,
Spring 2018,
Spring 2017,
Spring 2016,
Spring 2015,
Spring 2013,
Fall 2011,
Fall 2009,
Spring 2008


Numerical Fluid Mechanics

Introduction to numerical methods and MATLAB: errors, condition numbers and roots of equations. Navier-Stokes. Direct and iterative methods for linear systems. Finite differences for elliptic, parabolic and hyperbolic equations. Fourier decomposition, error analysis and stability. High-order and compact finite-differences. Finite volume methods. Time marching methods. Navier-Stokes solvers. Grid generation. Finite volumes on complex geometries. Finite element methods. Spectral methods. Boundary element and panel methods. Turbulent flows. Boundary layers. Lagrangian Coherent Structures. Subject includes a final research project

Visit the subject’s webpage

Fall 2017,
Fall 2015,
Fall 2014,
Fall 2012,
Fall 2010,
Spring 2010,
Spring 2009,
Fall 2008,
Fall 2007


Thermal-Fluids Engineering I

Integrated development of the fundamental principles of thermodynamics, fluid mechanics, and heat transfer with applications. Focuses on the development of the first and second laws of thermodynamics with special consideration of the rate processes associated with heat transfer and work transfer. Entropy generation and its influence on the performance of engineering systems. Conduction heat transfer in solids including steady-state and transient situations. Finned surfaces. Coupled and uncoupled fluid models. Hydrostatics. Inviscid flow analysis and Bernoulli equation. Internal and external laminar viscous flows. Turbulence. Boundary layers. Head loss in pipes.

Spring 2012,
Spring 2007


Thermal-Fluids Engineering II

Focuses on the application of the principles of thermodynamics, heat transfer, and fluid mechanics to the design and analysis of engineering systems. Laminar and turbulent flow. Heat transfer associated with laminar and turbulent flow of fluids in free and forced convection in channels and over surfaces. Pure substance model. Heat transfer in boiling and condensation. Thermodynamics and fluid mechanics of steady flow components of thermodynamic plants. Heat exchanger design. Power cycles and refrigeration plants. Design of thermodynamic plants. Radiation heat transfer. Multi-mode heat transfer and fluid flow in thermodynamic plants.

Fall 2016



Provides an introduction to thermodynamics, including first law (coupled and uncoupled systems, incompressible liquid, ideal gas) and second law (equilibrium, reversibility and irreversibility). Explores systems in communication with heat reservoirs; quasi-static processes; and heat engines and refrigeration. Properties of open systems, including mass, energy and entropy transfer.

For undergraduates that are interested, we have UROP projects that they could work on. Please contact us. For more information, see the Undergraduate Research Opportunity Program (UROP) in Mechanical Engineering.