Summary:

This course introduces advanced concepts of theoretical and computational fluid mechanics in the framework of engineering sciences.

Prerequisites:

  1. Linear algebra and matrix calculus
  2. Differential and integral calculus
  3. Introductory fluid or solid (continuum) mechanics
  4. Elementary programming skills

Topics:

The course covers the following main topics:
  1. Flow kinematics
  2. Stresses and the equation of motion
  3. Exact solutions
  4. Vorticity transport
  5. Numerical methods

Instructor:

Prof C Pozrikidis

Teaching Assistants:

Sreekumar Kuriyedath ( skuriyed@ecs.umass.edu )

Lectures:

(31771) Mondays and Wednesdays, 12:20-1:35, Eng Lab 325

Office hours:

C. Pozrikidis: after each lecture.

Sreekumar Kuriyedath: Thursdays 11:00-12:00 (214 Goessmann).

Required textbook:

Pozrikidis, C., Introduction to Theoretical and Computational Fluid Dynamics.
Oxford University Press (1997).

Recommended textbook:

Pozrikidis, C., Fluid Dynamics: Theory, Computation, and Numerical Simulation.
Second Edition, Springer (2009).

Homework:

A number of problem sets consisting of a combination of theoretical and computational projects will be assigned during the course. Unless specified otherwise, a solution can be done either by hand or by computer. Developing experience on which way is more appropriate and expedient is part of the students' training in this course.

Rules:

While general discussion of the homework problems is allowed, cooperation is strictly prohibited. When you sit down to write the problem solutions and programs please make sure you are alone. Each student is expected to write his/her own computer programs and produce her/his own solutions. Duplicate solutions and slightly different computer codes will be discarded with no regard to original authorship. If one problem of a homework set is found to be duplicate, the whole set will be given zero credit.

Course grade and exams:

The course grade will be based on homework problem solutions (60%), and two midterm exams (20% each).

The midterm exams will be open-book and open-notes. The exams will cover material discussed in the classroom, which may not necessarily be included in the required textbook.

The use of a laptop computer is strictly prohibited during the exams. A programmable calculator can be used, but only for additions, multiplications, and divisions. Make sure to bring the class notes, a calculator, and scratch paper. If you missed a lecture, please make sure that you obtain a copy of the lecture notes.

Course plan, reading and problem assignment:

Reading
assignment 		Problem
assignment 		Lecture plan
Week 1 Wed Sept 09 Appendix A First
Solutions		 -
Week 2 Mon Sept 14 - - -
Wed Sept 16 - - -
Week 3 Mon Sept 21 - - -
Wed Sept 23 - - -
Week 4 Mon Sept 28 - Second First set due
Wed Sept 31 - - -
Week 5 Mon Oct 05 - - -
Wed Oct 07 - - -
Week 6 Mon Oct 12 - - University holiday
Tue Oct 13 - -
Wed Oct 14 - Third Second set due
Week 7 Mon Oct 19 - - -
Wed Oct 21 - - First mid-term exam
Week 8 Mon Oct 26 - - -
Wed Oct 28 - - -
Week 9 Mon Nov 02 - Fourth Third set due
Wed Nov 04 - - -
Week 10 Mon Nov 09 - - -
Wed Nov 11 - - University holiday
Week 11 Mon Nov 16 - Fifth Fourth set due
Wed Nov 15 - - -
Week 12 Mon Nov 23 - - Second mid-term exam
Wed Nov 25 - - -
Week 13 Mon Nov 31 - - Fifth set due
Wed Dec 02 - - -
Week 14 Mon Dec 07 - - -
Wed Dec 09 - - Sixth set due

Class messages

(in reverse chronological order)

| Please pay attention to the following class policy:

Duplicate solutions and slightly different computer codes will be discarded with no regard to original authorship. If one problem of a homework set is found to be duplicate, the whole set will be given zero credit. If you cannot find your graded homework, this means that it was kept as a duplicate solution.