scholarly journals On some pressure segregation methods of fractional-step type for the finite element approximation of incompressible flow problems

2006 ◽  
Vol 195 (23-24) ◽  
pp. 2900-2918 ◽  
Author(s):  
Ramon Codina ◽  
Santiago Badia
Keyword(s):  
Finite Element ◽  
Incompressible Flow ◽  
Finite Element Approximation ◽  
Element Approximation ◽  
Fractional Step ◽  
Flow Problems ◽  
Step Type

scholarly journals Time dependent subscales in the stabilized finite element approximation of incompressible flow problems

2007 ◽  
Vol 196 (21-24) ◽  
pp. 2413-2430 ◽  
Author(s):  
Ramon Codina ◽  
Javier Principe ◽  
Oriol Guasch ◽  
Santiago Badia
Keyword(s):  
Finite Element ◽  
Incompressible Flow ◽  
Finite Element Approximation ◽  
Time Dependent ◽  
Element Approximation ◽  
Stabilized Finite Element ◽  
Flow Problems

scholarly journals A Fully Discretized Finite Element Approximation for an Incompressible Flow in Porous Media

2015 ◽  
Vol 3 (3) ◽  
pp. 27-43
Author(s):  
Abdellatif Agouzal ◽  
Karam Allali ◽  
Siham Binna
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Incompressible Flow ◽  
Finite Element Approximation ◽  
Flow In Porous Media ◽  
Element Approximation

Finite Element Approximation of Large Air Pollution Problems. I. Advection.

1995 ◽  
Author(s):  
Francis X. Giraldo ◽  
Beny Neta
Keyword(s):  
Air Pollution ◽  
Finite Element ◽  
Finite Element Approximation ◽  
Element Approximation

An Angular Finite Element Method for the Solution of the Even-Parity Equation

2009 ◽  
Author(s):  
R. Becker ◽  
R. Koch ◽  
M. F. Modest ◽  
H.-J. Bauer
Keyword(s):  
Finite Element ◽  
Finite Element Approximation ◽  
Basis Functions ◽  
New Method ◽  
Discrete Ordinates ◽  
Test Case ◽  
Element Approximation ◽  
Promising Alternative ◽  
Element Discretization ◽  
Spatial Coordinates

The present article introduces a new method to solve the radiative transfer equation (RTE). First, a finite element discretization of the solid angle dependence is derived, wherein the coefficients of the finite element approximation are functions of the spatial coordinates. The angular basis functions are defined according to finite element principles on subdivisions of the octahedron. In a second step, these spatially dependent coefficients are discretized by spatial finite elements. This approach is very attractive, since it provides a concise derivation for approximations of the angular dependence with an arbitrary number of angular nodes. In addition, the usage of high-order angular basis functions is straightforward. In the current paper the governing equations are first derived independently of the actual angular approximation. Then, the design principles for the angular mesh are discussed and the parameterization of the piecewise angular basis functions is derived. In the following, the method is applied to two-dimensional test cases which are commonly used for the validation of approximation methods of the RTE. The results reveal that the proposed method is a promising alternative to the well-established practices like the Discrete Ordinates Method (DOM) and provides highly accurate approximations. A test case known to exhibit the ray effect in the DOM verifies the ability of the new method to avoid ray effects.

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