An arbitrary order Mixed Virtual Element formulation for coupled multi-dimensional flow problems

Discrete Fracture and Matrix (DFM) models describe fractured porous media as complex sets of 2D planar polygons embedded in a 3D matrix representing the surrounding medium. The numerical simulation flow DFM requires discretization partial differential equations on three dimensional matrix, fractures one fracture intersections, suitable coupling conditions between entities different dimensionality need to be added at various interfaces close problem. present work proposes an arbitrary order implementation Virtual Element method mixed formulation for such multidimensional problems. Details effective strategies mesh generation are discussed aspects addressed. Several results contexts provided, which showcase applicability simulations domains.