[BOOK][B] Multiphysics phase-field fracture: modeling, adaptive discretizations, and solvers
T Wick - 2020 - books.google.com
This monograph is centered on mathematical modeling, innovative numerical algorithms
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …
IPACS: Integrated Phase-Field Advanced Crack Propagation Simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture …
In this work, we review and describe our computational framework for solving multiphysics
phase-field fracture problems in porous media. Therein, the following five coupled nonlinear …
phase-field fracture problems in porous media. Therein, the following five coupled nonlinear …
Space–time finite element approximation of the Biot poroelasticity system with iterative coupling
We analyze an optimized artificial fixed-stress iterative scheme for a space–time finite
element approximation of the Biot system modeling fluid flow in deformable porous media …
element approximation of the Biot system modeling fluid flow in deformable porous media …
On the optimization of the fixed‐stress splitting for Biot's equations
In this work, we are interested in efficiently solving the quasi‐static, linear Biot model for
poroelasticity. We consider the fixed‐stress splitting scheme, which is a popular method for …
poroelasticity. We consider the fixed‐stress splitting scheme, which is a popular method for …
[HTML][HTML] Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media
In this paper, we study the robust linearization of nonlinear poromechanics of unsaturated
materials. The model of interest couples the Richards equation with linear elasticity …
materials. The model of interest couples the Richards equation with linear elasticity …
New stabilized discretizations for poroelasticity and the Stokes' equations
In this work, we consider the popular P1–RT0–P0 discretization of the three-field formulation
of Biot's consolidation problem. Since this finite-element formulation is not uniformly stable …
of Biot's consolidation problem. Since this finite-element formulation is not uniformly stable …
Finite volume discretization for poroelastic media with fractures modeled by contact mechanics
A fractured poroelastic body is considered where the opening of the fractures is governed by
a nonpenetration law, whereas slip is described by a Coulomb‐type friction law. This …
a nonpenetration law, whereas slip is described by a Coulomb‐type friction law. This …
A two-stage preconditioner for multiphase poromechanics in reservoir simulation
Many applications involving porous media–notably reservoir engineering and geologic
applications–involve tight coupling between multiphase fluid flow, transport, and …
applications–involve tight coupling between multiphase fluid flow, transport, and …
Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium
We study the propagation of hydraulic fractures using the fixed stress splitting method. The
phase field approach is applied and we study the mechanics step involving displacement …
phase field approach is applied and we study the mechanics step involving displacement …
Convergence analysis of single rate and multirate fixed stress split iterative coupling schemes in heterogeneous poroelastic media
Recently, the accurate modeling of flow‐structure interactions has gained more attention
and importance for both petroleum and environmental engineering applications. Of …
and importance for both petroleum and environmental engineering applications. Of …