scholarly journals Stabilized numerical solutions of three-phase porous media flow using a multiscale finite element formulation

2003 ◽  
Author(s):  
Ruben Juanes ◽  
Tadeusz W. Patzek
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Numerical Solutions ◽  
Finite Element Formulation ◽  
Porous Media Flow ◽  
Element Formulation ◽  
Three Phase ◽  
Multiscale Finite Element

scholarly journals On the Stream Function-Vorticity Finite Element Formulation for Incompressible Flow in Porous Media

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Abdellatif Agouzal ◽  
Karam Allali ◽  
Siham Binna
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Stream Function ◽  
Incompressible Flow ◽  
Equations Of Motion ◽  
Finite Element Formulation ◽  
Flow In Porous Media ◽  
Darcy Law ◽  
Element Formulation ◽  
Discrete Problem

Stream function-vorticity finite element formulation for incompressible flow in porous media is presented. The model consists of the heat equation, the equation for the concentration, and the equations of motion under the Darcy law. The existence of solution for the discrete problem is established. Optimal a priori error estimates are given.

Eigenvalue Solution of Thermoelastic Damping in Beam Resonators Using a Finite Element Analysis

2007 ◽  
Vol 129 (4) ◽  
pp. 478-483 ◽  
Author(s):  
Yun-Bo Yi ◽  
Mohammad A. Matin
Keyword(s):  
Finite Element ◽  
Numerical Solutions ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Thermoelastic Damping ◽  
Element Analysis ◽  
Beam Resonator ◽  
Various Boundary Conditions ◽  
Parametric Studies ◽  
Analytical Approaches

A finite element formulation is developed for solving the problem related to thermoelastic damping in beam resonator systems. The perturbation analysis on the governing equations of heat conduction, thermoleasticity, and dynamic motion leads to a linear eigenvalue equation for the exponential growth rate of temperature, displacement, and velocity. The numerical solutions for a simply supported beam have been obtained and shown in agreement with the analytical solutions found in the literature. Parametric studies on a variety of geometrical and material properties demonstrate their effects on the frequency and the quality factor of resonance. The finite element formulation presented in this work has advantages over the existing analytical approaches in that the method can be easily extended to general geometries without extensive computations associated with the numerical iterations and the analytical expressions of the solution under various boundary conditions.

A mixed least‐squares finite element formulation within the framework of the theory of porous media

PAMM ◽  
2019 ◽  
Vol 19 (1) ◽  
Author(s):  
Alexander Schwarz ◽  
Solveigh Averweg ◽  
Joachim Bluhm ◽  
Jörg Schröder
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Least Squares ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Theory Of Porous Media
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