author = "Codina, Ramon"

Encontrado 396 documentos, página mostrada 1 de 40

An iterative penalty method for the finite element solution of the stationary Navier-Stokes equations

Author(s): Codina, Ramon
Description: The objective of this paper is to analyse an iterative procedure for the finite element solution of the Stokes and Navier-Stokes stationary problems. For the latter case, the usual condition on the viscosity and the data that ensures uniqueness is assumed. The method is based on the iterative imposi...
Language(s): Inglés

Stability analysis of the forward Euler scheme for the convection‐diffusion equation using the SUPG formulation in space

Author(s): Codina, Ramon
Description: The stability and accuracy of the forward Euler scheme for the semidiscrete problem arising from the space discretization of the convection‐diffusion equation using the SUPG formulation are analysed. Both linear and quadratic finite elements are considered. The stability limits are derived for the o...
Language(s): Inglés

A discontinuity-capturing crosswind-dissipation for the finite element solution of the convection-diffusion equation

Author(s): Codina, Ramon
Description: To avoid the local oscillations that still remain using the streamline-upwind/Petrov-Galerkin formulation for the scalar convection-diffusion equation, the introduction of a nonlinear crosswind dissipation is proposed. It is shown that the method is less overdiffusive than other discontinuity-captur...
Language(s): Inglés

Comparison of some finite element methods for solving the diffusion-convection-reaction equation

Author(s): Codina, Ramon
Description: In this paper we describe several finite element methods for solving the diffusion-convection-reaction equation. None of them is new, although the presentation is non-standard in an effort to emphasize the similarities and differences between them. In particular, it is shown that the classical SUPG ...
Language(s): Inglés

On stabilized finite element methods for linear systems of convection-diffusion-reaction equations

Author(s): Codina, Ramon
Description: A stabilized finite element method for solving systems of convection-diffusion-reaction equations is studied in this paper. The method is based on the subgrid scale approach and an algebraic approximation to the subscales. After presenting the formulation of the method, it is analyzed how it behaves...
Language(s): Inglés

Comparison of some finite element methods for solving the diffusion-convection-reaction equation

Author(s): Codina, Ramon
Description: In this paper we describe several finite element methods for solving the diffusion-convection-reaction equation. None of them is new, although the presentation is non-standard in an effort to emphasize the similarities and differences between them. In particular, it is shown that the classical SUPG ...
Language(s): Inglés

Stabilization of incompressibility and convection through orthogonal sub-scale in finite element methods

Author(s): Codina, Ramon
Description: Two apparently different forms of dealing with the numerical instability due to the incompressibility constraint of the stokes problem are analyzed in this paper. The first of them is the stabilization thought the pressure gradient projection, which consists of adding a certain least-squares form of...
Language(s): Inglés

A nodal-based implementation of a stabilized Finite Element Method for Incompressible Flow Problems

Author(s): Codina, Ramon
Description: The objective of this paper is twofold. First, a stabilized finite element method for the incompressible Navier-Stokes is presented, and several numerical experiments are conducted to check its performance. This method is able to deal with all the instabilities that the standard Galerkin method pres...
Language(s): Inglés

A stabilized finite element method for generalized stationary incompressible flows

Author(s): Codina, Ramon
Description: In this paper we describe a finite element formulation for the numerical solution of the stationary Navier-Stokes equations including Coriolis forces and the permeability of the medium. The stabilized method is based on the algebraic version of the sub-grid scale approach. We first describe this tec...
Language(s): Inglés

Numerical solution of the incompressible Navier–Stokes equations with Coriolis forces based on the discretization of the total time derivative.

Author(s): Codina, Ramon
Description: In this paper we present a numerical formulation to solve the incompressible Navier–Stokes equations written in a rotating frame of reference. The method is based on a finite difference discretization in time and a finite element discretization in space. When the viscosity is very small, numer...
Language(s): Inglés

Encontrado 396 documentos, página mostrada 1 de 40

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