SciELO - Scientific Electronic Library Online

 
vol.14 issue2Design and Construction of the Robotic Hand Prosthesis UC-1Environmental Impact Assessment of Brass-Threaded Unions through Product Life Cycle Assessment (LCA) author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Services on Demand

Article

Indicators

Related links

  • On index processCited by Google
  • Have no similar articlesSimilars in SciELO
  • On index processSimilars in Google

Share


Ingeniería y Universidad

Print version ISSN 0123-2126

Abstract

GARZON-ALVARADO, Diego Alexander; GALEANO-URUENA, Carlos Humberto  and  MANTILLA-GONZALEZ, Juan Miguel. Numerical Essays on the Development of Turing Patterns under the Effect of Incompressible Convective Fields: An Approach from the Cavity Problem. Ing. Univ. [online]. 2010, vol.14, n.2, pp.239-260. ISSN 0123-2126.

This work presents a number of numerical examples of reaction-difussion equations in Turing space, modified by convective fields in incompressible flows, using a Schnakenberg reaction mechanism. Examples were made in 2D using quad elements, which have an imposed advective field derived from the cavity problem solution. The developed model consists of an uncoupled system of equations including the reaction-advection-diffusion equations and the Navier-Stokes equations for incompressible flow. This system is solved simultaneously using the finite element method. Results illustrate that complex patterns are formed, mixing dots and stripes which reach a stable state. Changes in pattern concentration in both space and time are also shown due to the effect of the advective field. Numerical examples confirm that pattern formation is independent of initial conditions and mesh.

Keywords : Reaction-advection-diffusion; Turing instabilities; cavity problem.

        · abstract in Spanish | Portuguese     · text in Spanish     · Spanish ( pdf )

 

Creative Commons License All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License