In this paper, the unconditional superconvergence error analysis of semi-implicit Euler scheme with low-order conforming mixed finite element discretization is investigated for time-dependent Navier–Stokes equations. terms high-accuracy estimates pair on rectangular mesh and boundedness numerical solution in L∞-norm, superclose velocity H1-norm pressure L2-norm are derived firstly by dealing tr...

Multiphase flow in fractured porous media can be described by discrete fracture matrix models that represent the fractures as dimensionally reduced manifolds embedded bulk medium. Generalizing earlier work on this approach we focus immiscible two-phase time-dependent geometries, i.e., itself and aperture of might evolve time. For dynamic geometries kind, neglecting capillary forces, deduce tran...

Geological settings, such as reservoirs, include fractures with different material properties and geometric features. Hence, numerical simulations in applied geophysics demands for computational frameworks which efficiently allow us to integrate various fracture geometries a porous medium matrix. This study focuses on modeling approach single-phase flow fractured media its application types of ...

Abstract We present a new discretization of sea ice dynamics on the sphere. The approach describes motion in tangent planes to On each triangle mesh, are discretized local coordinate system using CD‐grid‐like non‐conforming finite element method. development allows straightforward coupling C‐grid like ocean model Icosahedral Non‐hydrostatic‐Ocean model, which uses same infrastructure as module....

Three methods are investigated to remove the concavity at the boundary edges and/or vertices during polyhedral mesh generation by a dual mesh method. The non-manifold elements insertion method is the first method examined. Concavity can be removed by inserting non-manifold surfaces along the concave edges and using them as an internal boundary before applying Delaunay mesh generation. Conical c...

Balanced restoration consists in removing the effects of tectonic deformation in order to recover the depositional state of sedimentary layers. Restoration thus helps in the understanding of a geodynamic scenario, reduces structural uncertainties by testing the consistency of the structural model, and, under mechanical behavior assumptions, evaluates retro-deformation. We show how an elastic fi...

The simulation of flow in fractured media requires handling both a large number of fractures and a complex interconnecting network of these fractures. Networks considered in this paper are three-dimensional domains made up of two-dimensional fractures intersecting each other and randomly generated. Due to the stochastic generation of fractures, intersections can be highly intricate. The numeric...

Computational simulation has become an indispensable tool in the study of both basic mechanisms and pathophysiology of all forms of cardiac electrical activity. Such simulations depend heavily on geometric models that are either realistic or even patient specific. These models consist of a connected mesh of sometimes millions of polygonal elements that must capture the complex external shapes a...

Conforming lower-order shell elements based on Reissner-Mindlin plate theory generally exhibit an over-stiff response under loading, typically manifested through various forms of locking. A recently developed hierarchic optimisation approach addresses locking by enriching the conforming strains with strain terms towards objective ‘smoother’ distribution afforded element, which has proven to be ...