4 papers
A non-conforming finite difference discrete fracture model based on an energy principle
Ziyao Xu
We propose a finite difference discrete fracture model for single-phase flow in fractured porous media. The method is derived from a unified energy principle and is implemented on…
An unfitted finite element discrete fracture model for low-permeability barriers via local stiffness matrix modification
Ziyao Xu
Finite element methods are among the most widely used discretizations for flow in porous media, and their discrete fracture models (DFMs) for highly conductive fractures are well-e…
An Interior Penalty Discontinuous Galerkin Method for an Interface Model of Flow in Fractured Porous Media
Yong Liu, Ziyao Xu
Discrete fracture models with reduced-dimensional treatment of conductive and blocking fractures are widely used to simulate fluid flow in fractured porous media. Among these, nume…
An extension of the box method discrete fracture model (Box-DFM) to include low-permeable barriers with minimal additional degrees of freedom
Ziyao Xu, Dennis Gläser
The box method discrete fracture model (Box-DFM) is an important finite volume-based discrete fracture model (DFM) to simulate flows in fractured porous media. In this paper, we in…