We present FoamGrid, a new implementation of the Dune grid interface. FoamGrid implements oneand two-dimensional grids in a physical space of arbitrary dimension, which allows for grids for curved domains. Even more, the grids are not expected to have a manifold structure, i.e., more than two elements can share a common facet. This makes FoamGrid the grid data structure of choice for simulating...

Methods: A cohesive fracture model is adopted together with a discrete crack and without predetermined fracture path. The fracture is filled with interface elements which in the 2D case are quadrangular and triangular elements and in the 3D case are either tetrahedral or wedge elements. The Rankine criterion is used for fracture nucleation and advancement. In a 2D setting the fracture follows d...

Fractures commonly exist in rock masses; the coalescence of fractures provides fluid flow pathways a fractured mass and greatly increases capacity rock. This work aims to study characteristics nonlinear fractures. A series tests were conducted indicated that Forchheimer law performed well when describing relationship between hydraulic gradient flow. The test results also indicate higher water p...

In this research, an efficient Galerkin Finite Volume Method (GFVM) along with the h–refinement adaptive process and post–processing error estimation analysis is presented for fracture analysis. The adaptive strategy is used to produce more accurate solution with the least computational cost. To investigate the accuracy and efficiency of the developed model, the GFVM is compared with two versio...

This paper provides a novel framework for solving multiobjective discrete optimization problems with an arbitrary number of objectives. Our represents these as network models, in that enumerating the Pareto frontier amounts to multicriteria shortest-path problem auxiliary network. We design techniques exploiting models order accelerate identification frontier, most notably operations simplify b...

This paper deals with the fundamental problem of estimating the distribution function (df) of the duration of the longest path in the stochastic activity network such as PERT network. First a technique is introduced to reduce variance in Conditional Monte Carlo Sampling (CMCS). Second, based on this technique a new procedure is developed for CMCS. Third, a combined approach of simulation and ap...

Double network (DN) gels, consisting of a brittle first and flexible second network, have been known to be extremely tough and functional hydrogels. In a DN gel subjected to force, the brittle first network breaks prior to the fracture of the flexible network. This process, referred to as internal fracture, dissipates energy and increases the energy required to completely fracture DN gels. Such...