Aligned fractures modeled as boundary conditions within saturated porous media and induced anisotropy. A finite element approach

2015 ◽  
Author(s):  
Juan E. Santos* ◽  
Robiel Martínez Corredor ◽  
José M. Carcione
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Boundary Conditions ◽  
Saturated Porous Media ◽  
Induced Anisotropy ◽  
Finite Element Approach ◽  
Element Approach

A finite element approach for multiphase fluid flow in porous media

2010 ◽  
Vol 81 (1) ◽  
pp. 76-91 ◽  
Author(s):  
Javier L. Mroginski ◽  
H.Ariel Di Rado ◽  
Pablo A. Beneyto ◽  
Armando M. Awruch
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Fluid Flow ◽  
Flow In Porous Media ◽  
Finite Element Approach ◽  
Multiphase Fluid Flow ◽  
Element Approach ◽  
Multiphase Fluid

Construction of three-phase data to model multiphase flow in porous media: Comparing an optimization approach to the finite element approach

2010 ◽  
Vol 342 (11) ◽  
pp. 855-863 ◽  
Author(s):  
Raphaël di Chiara Roupert ◽  
Gerhard Schäfer ◽  
Philippe Ackerer ◽  
Michel Quintard ◽  
Guy Chavent
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Multiphase Flow ◽  
Flow In Porous Media ◽  
Optimization Approach ◽  
Finite Element Approach ◽  
Three Phase ◽  
Element Approach ◽  
Phase Data

scholarly journals A Nitsche Finite Element Approach for Elliptic Problems with Discontinuous Dirichlet Boundary Conditions

2018 ◽  
Vol 18 (3) ◽  
pp. 373-381 ◽  
Author(s):  
Ramona Baumann ◽  
Thomas P. Wihler
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Mesh Size ◽  
Singular Part ◽  
Dirichlet Boundary Conditions ◽  
Diffusion Reaction ◽  
Discrete Solution ◽  
Finite Element Approach ◽  
Element Approach

AbstractWe present a numerical approximation method for linear elliptic diffusion-reaction problems with possibly discontinuous Dirichlet boundary conditions. The solution of such problems can be represented as a linear combination of explicitly known singular functions as well as of an {H^{2}}-regular part. The latter part is expressed in terms of an elliptic problem with regularized Dirichlet boundary conditions, and can be approximated by means of a Nitsche finite element approach. The discrete solution of the original problem is then defined by adding back the singular part of the exact solution to the Nitsche approximation. In this way, the discrete solution can be shown to converge of second order in the {L^{2}}-norm with respect to the mesh size.

Wave Propagation in Periodically Supported Nanoribbons: A Nonlocal Elasticity Approach

2013 ◽  
Vol 135 (4) ◽  
Author(s):  
Giuliano Allegri ◽  
Fabrizio Scarpa ◽  
Rajib Chowdhury ◽  
Sondipon Adhikari
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Nonlocal Elasticity ◽  
Graphene Nanoribbons ◽  
Stop Band ◽  
Flexural Waves ◽  
Finite Element Approach ◽  
Analytical Formulation ◽  
Simply Supported ◽  
Element Approach

We develop an analytical formulation describing propagating flexural waves in periodically simply supported nanoribbons by means of Eringen's nonlocal elasticity. The nonlocal length scale is identified via atomistic finite element (FE) models of graphene nanoribbons with Floquet's boundary conditions. The analytical model is calibrated through the atomistic finite element approach. This is done by matching the nondimensional frequencies predicted by the analytical nonlocal model and those obtained by the atomistic FE simulations. We show that a nanoribbon with periodically supported boundary conditions does exhibit artificial pass-stop band characteristics. Moreover, the nonlocal elasticity solution proposed in this paper captures the dispersive behavior of nanoribbons when an increasing number of flexural modes are considered.

Sign in / Sign up

Export Citation Format

Share Document