Lecture Notes on Intermediate Fluid Mechanics by AME
Lecture Notes on Intermediate Fluid Mechanics by AME
Lecture Notes on Intermediate Fluid Mechanics by AME
The course
provides a survey of continuum fluid mechanics. Part I gives an extensive
development of the compressible Navier-Stokes equations. Part II focuses on
their solution in various limits: vorticity dynamics, compressible flow,
potential flow, and viscous laminar flow. The emphasis is on fluid physics and
the mathematics necessary to efficiently describe the physics.
Author(s): Joseph M. Powers, Department of
Aerospace and Mechanical Engineering, University of Notre Dame
This
note covers Derivation of mathematical models, Simplified models, Euler
equations, Vorticity, A dip on analysis and Biot Savarts law, Local in time well
posedness, Two dimensional case and one dimensional isentropic compressible
Euler equations.
The course
provides a survey of continuum fluid mechanics. Part I gives an extensive
development of the compressible Navier-Stokes equations. Part II focuses on
their solution in various limits: vorticity dynamics, compressible flow,
potential flow, and viscous laminar flow. The emphasis is on fluid physics and
the mathematics necessary to efficiently describe the physics.
Author(s): Joseph M. Powers, Department of
Aerospace and Mechanical Engineering, University of Notre Dame