Alternative patch boundary conditions for the heterogeneous multiscale simulation of hyperbolic homogenization problems

For problems where a macroscopic conservation law is known to exist, but only a microscopic model is available, E and Engquist proposed a so-called heterogeneous multiscale method (HMM). In this method, the macroscopic flux (for which no explicit formula is available) is estimated from appropriately initialized microscopic simulations, which are performed… (More)