This paper proposes a domain decomposed finite element method (DDFEM) for groundwater flow velocity simulation, which can effectively and efficiently deal with arbitrarily oriented or intersected material interfaces in heterogeneous porous media.
For (i, j ) ∈ C Γ, we collect the indices of those basis functions in Ω (i ) whose support intersects the interface Γ (i, j ) : (11) B (i, j ) = { k ∈ R (i ) : supp R ^ k (i ) ∩ Γ (i, j ) ≠ ∅ }.
In this paper, we consider the complex interface problems such as interfaces intersecting with each other.
Direct generalization of MBO-type methods to the wetting problem with interfaces intersecting the solid boundary is not easy because solving the heat equation in a general domain with a wetting boundary condition is not as efficient as it is with the original MBO method.
Thus in this paper, a new curved failure mechanism constructed with two continuous lines intersecting at the interface, namely progressive failure mechanism, is employed to derive the analytic solutions of the shape and region of roof collapse on the basis of upper bound theorem and variational approach.
The interface jump conditions are rigorously enforced on the intersecting points between the interface and the mesh lines.
In the softening regime, shear bands originating at the interface intersect at a distance above the interface.
It is verified that, when the interface intersects with the boundary, the consistent splitting scheme [21,22] for the Navier Stokes equations has the better accuracy for pressure.
In this work, a systematic study of the singular stress field in the zone where the interface intersects the free edge surfaces of bonded metal-composite co-cured joints, has been performed.
The method uses standard piecewise trilinear finite elements for normal cells and a double piecewise trilinear ansatz for the solution on cells intersected by the interface resulting always in a compact 27-point stencil.
