COURSE
ANNOUNCEMENT FALL 2014
ATMS 502, CSE 566: Numerical Fluid Dynamics 34 students from 10 departments registered so far |
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Right: Visualization of final course problems from recent years. |
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FOR: This course is for those interested in numerically
solving partial differential equations that describe
compressible fluid flow,
utilizing a high performance production XSEDE
supercomputer,
likely
Stampede.
KEY OBJECTIVES: that those taking the course leave it with -
Fluid flow | Coding, data, visualization | Numerical methods |
---|---|---|
Fluids: Concepts | Coding: old vs. new; IDEs | Classes of solution methods |
Flow kinematics |
Languages, compilers |
Multi-dimensional problems |
Fluid flow equations |
Precision and accuracy |
Boundary conditions, symmetry |
Dimensions, units |
(Super)computers, XSEDE |
Nonlinear PDEs are fun |
Compressibility |
Data and the 4th paradigm |
Theory vs. practice:
Stability |
Stability vs. shear |
Visualization: idioms, tools |
Systems of equations |
Simplifications, scaling |
Debugging efficiently |
Handling discontinuities |
Some classic solutions |
Code optimization basics |
Initialization; Intro. to data
assimilation |
COMPUTER PROBLEMS: We will use the XSEDE Stampede supercomputer to solve fluid flow problems in one, two and three dimensions, using regular and nested grid approaches. I will emphasize writing clear and effective programs, as well as (a bit of) structuring codes for efficient use of parallel computers. Course assignments may be programmed in either Fortran 90 or C, and introductory codes and plotting programs in both languages will be provided. The behavior of the numerical solutions will be compared to known solutions when they are available.
The computing objectives are (a) getting everyone comfortable and familiar with our programming environment on a production supercomputer, (b) getting started with 1-D codes before we add complexity, and (c) working up to 3-D nonhydrostatic nonlinear problems by the end of class. Each class computer problem will be designed to build on the last to make understanding and completing the assignments more straightforward for all.
PROGRAMMING EXPERIENCE: You should be comfortable with a programming language, or ready to learn. This class could be abrupt if you have no programming experience at all, as we get going fairly quickly. To help everyone get started and to begin at a common starting point, I will pass out an introduction (sample) program at the start of class (in Fortran 90 and also in C) which will serve as a basis upon which you will build your later programs. For those rusty in F90 or C (or Linux), there will be review sessions early in the semester. However, you might want to consider taking one of the many classes offered by the University's Computer Science and/or CSE departments to strengthen your programming skills. The goal here is using a programming language, rather than learning one.
If you feel your programming experience is not very strong and you want to do some preparation before class starts, I recommend the following:
TEXT: There is no single textbook now. I will use books (there are many) whose material is available free as PDFs online from the UI library.
INTRO: Welcome; I am Dr. Brian Jewett. I teach and carry out research in the Atmospheric Sciences Dept. My specialty is 3d numerical modeling of a variety of atmospheric phenomena - severe thunderstorms and squall lines, hurricanes, and snowstorms.
If you have any questions about the class, please feel free to contact me.
And remember, fluid modeling and visualization is fun! (here's another one).