Euler Equations

This is a collection of setups for the Euler equations of inviscid compressible flows.

See the atl_eqn_euler_module for details.

The Euler equations are implemented in one (equation.name = 'euler_1d'), two (equation.name = 'euler_2d') and three (equation.name = 'euler') space dimensions. See these subdirectories for complete examples of the respective equation systems.

In the gasdynamics modeled by this equation system, discontinuities can arise, leading to oscillations in high-order discretizations. These oscillations can result in unphysical states that abort the simulation. To counter this problem, it may be necessary to employ some stabilization as provided by the atl_stabilization_module. A simple example for a minimal spectral filter and covolume is provided in the shock stabilization parallel setup.

A template configuration that illustrates the various options to use in Euler simulations is given in the 3D overview example.