Status update EV + DG project

Florian Atteneder

October 2020

Done

  • WIP - Started notes on DG + EV formulation.

  • WIP - Started to prepare implementation in bamps.

  • Revisted basic scheme for parabolic equations using heat equation as model
    problem.

    • Extensively discussed in Hesthaven, Warburton (2007).
    • Found inconsistencies in above reference.
    • Could (partly) clarify on issue with boundary conditions.

Convergence rate heat equation with central fluxes

Convergence rate heat equation with LDG fluxes

Planned

  • Revisit EV method with better understanding of parabolic equations.

  • Read up on alternative formulations

    • Biswas and Kumar (2020)
    • Miller and Schmetter (2016)
    • Hagstrom et al. -- Energy DG and Galerkin Finite Differencing

- There might a remaing issue regarding flux consistency

I have had overlooked before.