Resumen de An adaptive wavelet viscosity method for systems of hyperbolic conservation laws

Michael Heindl, Angela Kunoth

• For the Burgers equation as an example of a hyperbolic conservation law, we have considered in our previous paper Castaño Díez et al. (2008) [8] a weak formulation with a stabilization for handling discontinuities, commonly called a viscosity approach.

  Numerically, this was realized by locally introducing degrees of freedom around the discontinuities by means of an adaptive wavelet method in an a posteriori fashion.

  In the present paper, we apply this method to systems of conservation laws, specifically, Euler�s equations for gas dynamics. Moreover, as the viscosity stabilization produces some Gibbs phenomena, we discuss different post-processing techniques known from data and image processing together with a number of numerical comparisons.