Difference between revisions of "Hauptseminar Porous Media SS 2021/Reaction diffusion advection with FEM"
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{{Seminartopic  {{Seminartopic  
+  number=7  
topic=Reactiondiffusionadvection systems with finite elements  topic=Reactiondiffusionadvection systems with finite elements  
−  speaker=  +  speaker= Kristin Lorenz 
−  date=  +  date=20210618 
−  time=  +  time=15:30 
tutor=[[Patrick Kreissl]]  tutor=[[Patrick Kreissl]]  
handout=  handout=  
Line 10:  Line 11:  
== Contents ==  == Contents ==  
−  +  The ''Finite Element Method'' (FEM) is a computational technique that can be used to solve coupled systems of (nonlinear) ''partial differential equation'' (PDEs) numerically. A key aspect of this method is the discretization of a large simulation domain into smaller, socalled ''finite elements'' over which the solution to the respective PDE can be well approximated. Refining the mesh locally in the regions of the simulation domain that are critical for the physical effects (charged walls, in/outflow regions, catalyst regions consuming/producing chemical species, …), this typically allows one to study systems on an experimental length scale, even for setups with complex geometries.  
+  Obviously, this makes FEM also an interesting tool for the simulation of porous systems.  
+  
+  This talk will introduce FEM and show how the method can be used to solve the reaction–diffusion–advection equations. To illustrate this, an example system will be presented, namely a microfluidic pump based a ionexchangeresin in a slitpore geometry.  
== Literature ==  == Literature ==  
−  +  <bibentry>  
+  ehrhardt16a  
+  rempfer16a  
+  niu17a  
+  </bibentry> 
Revision as of 09:49, 4 March 2021
 Date
 20210618
 Time
 15:30
 Topic
 Reactiondiffusionadvection systems with finite elements
 Speaker
 Kristin Lorenz
 Tutor
 Patrick Kreissl
Contents
The Finite Element Method (FEM) is a computational technique that can be used to solve coupled systems of (nonlinear) partial differential equation (PDEs) numerically. A key aspect of this method is the discretization of a large simulation domain into smaller, socalled finite elements over which the solution to the respective PDE can be well approximated. Refining the mesh locally in the regions of the simulation domain that are critical for the physical effects (charged walls, in/outflow regions, catalyst regions consuming/producing chemical species, …), this typically allows one to study systems on an experimental length scale, even for setups with complex geometries. Obviously, this makes FEM also an interesting tool for the simulation of porous systems.
This talk will introduce FEM and show how the method can be used to solve the reaction–diffusion–advection equations. To illustrate this, an example system will be presented, namely a microfluidic pump based a ionexchangeresin in a slitpore geometry.
Literature

Sascha Ehrhardt.
"Simulation of Electroosmotic Flow through Nanocapillaries using FiniteElement Methods".
Master's thesis, University of Stuttgart, 2016.
[PDF] (11 MB) 
Rempfer, Georg and Davies, Gary B. and Holm, Christian and de Graaf, Joost.
"Reducing spurious flow in simulations of electrokinetic phenomena".
The Journal of Chemical Physics 145(4)(044901), 2016.
[PDF] (4 MB) [DOI] 
Niu, Ran and Kreissl, Patrick and Brown, Aidan Thomas and Rempfer, Georg and Botin, Denis and Holm, Christian and Palberg, Thomas and de Graaf, Joost.
"Microfluidic Pumping by Micromolar Salt Concentrations".
Soft Matter 13(1505–1518), 2017.
[PDF] (5 MB) [DOI] [URL]