TVB Method of Shu on Advection

Example [book/chap10/tvb] to accompany the book Finite Volume Methods for Hyperbolic Problems by R. J. LeVeque.

Converted to Clawpack 5.0 form in 2013.

This directory contains a modified limiter.f function which implements the TVB method of Shu as an extension of the second-order minmod method.

The value of phiM, set in, should be chosen as an approximation to qxx at the extrema to be captured. The grid should be fine enough that phiM*dx is small or the method will be dispersive.

For the wave-packet problem used here, you might experiment with:
  1. phiM = 6500 or other values
  2. different resolutions, such as 400 or 800 points
  3. different limiters besides minmod (which may work poorly!)