We propose a framework for the nonconforming generalized multiscale methods with explicit steps concretely given to illustrate our methodology.

Our approach is simple and noble in the sense that it is free of parameters which are essential in other existing discontinuous Galerkin methods.

Oversampling ideas enhance approximation quality of our approach.

Our method performs well to resolve highly heterogeneous media.

We provide several numerical examples to confirm the efficiency of the proposed method.