SLMsR – Semi-Lagrangian Multiscale Reconstruction

The SLMsR is a prototypical Julia implementation.

We solve the advection-diffusion problem for passive tracers in heterogenous media, i.e., the advection and/or diffusiosion coefficients are heterogenous and high-constrast.

This indicates that it is possible to reconstruct subgrid-features (that cannot be resolved in coarse-grid simulations) locally into basis functions even when the problem is dominated by advection. Standard multiscale methods for often fail in this case.