Numerical PDE Techniques for Scientists and Engineers

by: Prof. Dinshaw S. Balsara

Chapter 5: The Hydrodynamical Riemann Problem

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Slides with Voice-Over

The following slides with voice-overs (i.e. light-weight videos) are available for this chapter. Please use Chrome or Firefox to download the movies to your disk. Then play the movies with VLC.

• 5.1) Introduction
  • 5.1.1) General Introduction to the Riemann Problem
  • 5.1.2) Introducing The Riemann Problem as a Building Block for Numerical Schemes
• 5.2) Hydrodynamical Shock Waves
  • 5.2.1) Hydrodynamical Discontinuities and Shock Jump Conditions
  • 5.2.2) The Hugoniot Adiabat
  • 5.2.3) Normal Shocks in Polytropic Gases
  • 5.2.4) Shocks in the Lab Frame
• 5.3) Rarefaction Fans (Slides 1, Slides 2)
  • 5.3.1) Right-going Rarefaction Fans
  • 5.3.2) Left-going Rarefaction Fans
• 5.4) The Riemann Problem
  • 5.4.1) Intuitive Introduction to the Riemann Problem
  • 5.4.2) Iterative Solution of the Riemann Problem

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