A set of lowest order interface jump conditions is enforced on the interface, which in turn, determines the interpolation functions.
First and higher order interface models are derived for soft and hard adhesives.
To construct higher order interface schemes, the proposed MIB method bypasses the major challenge of implementing high order jump conditions by repeatedly enforcing the lowest order jump conditions.
The proposed MIB method makes use of Cartesian grids, standard finite difference schemes, lowest order interface jump conditions and fictitious values.
This paper introduces a novel high order interface scheme, the matched interface and boundary (MIB) method, for solving elliptic equations with discontinuous coefficients and singular sources on Cartesian grids.
To better understand the MIB method and other potential high order interface schemes, we propose an alternative interpolation formulation of the MIB method and show that the new formulation is essentially equivalent to the improved one.
There are several components to this procedure, including the new body force algorithm, improvements in the projection method for the Navier Stokes solver, and a higher order interface advection scheme.
The two main energy dissipating factors that contribute to this are multiple, parallel cracking along first-order interfaces in the inner and outer layers and crack bridging through the second-order interfaces of the middle layer.
Here, we show that the degree of disorder at the interface depends largely on the crystal orientation and that more ordered interfaces generally suffer from large vacancy formation.
For fun, and to test the ordering interface, I added a contrasting inner collar and cuff in a solid fabric called "Masculine Poplin Grey," and added a monogram of my son's initials on the cuff.
Oka et al. [21] proposed a unique mechanism with the first-order interface metal-insulator transition.
