UW AMath Conservation Laws and Finite Volume Methods
 
Applied Math 574
 
Winter Quarter, 2015

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Lectures and slides

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Outline and reading assignments

There is a lot of material to cover (see Course information for an overview of topics and goals). Since there are only two 50-minute lectures per week (and two Monday holidays), it will not be possible to cover everything in detail in lectures.

The textbook covers many details that will be omitted from lectures. You should read the relevant sections before lecture and come with any questions you have about the material.

There will also be assignments related to the Friday lab sessions, see Material to accompany lab sessions, or the links below.

See Homework and project for Homework schedule and assignments.

Schedule (tentative)

  • Week 1: Overview of course, advection and acoustics equations
    • For Monday, January 5: Sections 1.0–2.3.
    • For Wednesday, January 7: Sections 2.4-2.13, 3.0-3.9.
    • Lab 1: Friday, Jan. 9, 2015. Also please complete this survey on your background before Friday.
  • Week 2: Finite Volume methods, Godunov’s method for advection and linear systems
  • Week 3: High resolution methods, limiters
  • Week 4: Scalar nonlinear problems
    • For Monday, January 26: Sections 11.0 - 11.7.
    • For Wednesday, January 28: Sections 11.8 - 11.15, 12.1 - 12.9.
    • Lab 4: Friday, Jan. 30, 2015.
  • Week 5: Nonlinear problems, Riemann solutions
  • Week 6: Nonlinear systems, finite volume methods
    • For Monday, February 9: See Lectures and slides
    • For Wednesday, February 11: Sections 15.1, 12.0 - 12.8.
    • Lab 6: Groups and projects
  • Week 7: Approximate Riemann solvers, gas dynamics
  • Week 8: Two-dimensional hyperbolic problems
  • Week 9: Two-dimensional algorithms, mapped grids
  • Week 10: Adaptive mesh refinement