TWSIAM Activity Group : FreeFem++

FreeFem++ tutorial 2015

Contact : Yao-Yu Yang
Yannick Deleuze

A programming language for the finite element method : FreeFem++ 

TWSIAM activity group
December 3-4, 2015

Organizers: Yannick Deleuze, Tony W.H. Sheu
Contact: Yannick Deleuze
Venue: Room 308, Mathematics Research Center Building, NTU (map)

Call for contributions:
if you want to give a talk related to FreeFem++,
or if you have a specific subject or issue to be discussed,
please send a title and a short abstract to Yannick Deleuze.

Day 1: Thursday, December 3rd 2015

Part 1: Talk session
Introduction to FreeFem++ (1), 10:00 am - 11:00 am

Speaker: Yannick Deleuze (National Taiwan University)

This talk focuses on:
  • Introduction to FreeFem++ software and language
  • the latest capabilities of FreeFem++ to solve PDEs using finite element methods,
Introduction to FreeFem++ (2), 11:10 am - 12:00 am

Speaker: Yannick Deleuze (National Taiwan University)

This talk focuses on:
  • learning with academic examples,
  • how an academic solver could be used for advanced and industrial applications.
Part 2: Tutorial training session (please bring your laptop)
Basic tutorial, 1:30 pm - 4:30 pm

Speaker: Yao-Yu Yang & Yannick Deleuze (National Taiwan University)

This basic tutorial will provide useful information

  • to install FreeFem++ and FreeFem++-cs,
  • generate a mesh,
  • solve a linear PDE.
This session is very useful for undergraduate students in studying numerical method and engineering mathematics courses.

Day 2: Friday, December 4th 2015

Part 3: Talk session
Talk, 10:30 am-11:00 am
Title: Applications of the FreeFEM++ for solving the incompressible Navier-Stokes equations on a complex geometry

Speaker: Neo Shih-Chao Kao (National Taiwan University)

Abstract: In this talk, the fractional four-step method of H. G. Choi and the projection method of A. J. Chorin for solving the incompressible Navier-Stokes equations are implemented on FreeFEM++. The validity of the FreeFEM++ program is justified by solving several problems amenable to analytical and benchmark solution at high Reynolds and Rayleigh numbers. In order to solve the problems on complex geometry, the commercial mesh generator Gambit is employed. Finally, the three-dimensional human airway problem is presented.
Reference

  1. H. G. Choi, H. Choi, J. Y. Yoo, A fractional four-step finite element formulation of the unsteady incompressible Navier-Stokes equations using SUPG and linear equal-order element methods. Comput. Meth. Appl. Mech. Eng., Vol. 143, issue 3-4, pp. 333-348, 1997
  2. A. J. Chorin, The numerical solution of the Navier-Stokes equations for an incompressible fluid, Bull Am Math. Soc. Vol. 73, pp. 928-931, 1967

Talk, 11:00 am—11:30 am
Title: Application of FreeFEM++ to model flow and transport for contaminant site

Speaker: Chih-Yu Kuo (Academia Sinica)

Abstract: TBA

Part 4: Tutorial training session (please bring your laptop)
Advanced tutorial, 1:00 pm - 3:30 pm

Speaker: Y. Deleuze

This advanced tutorial will provide useful information

  • generate 3D meshes,
  • mesh adaptation;
  • fast linear solvers;
  • mpi tools for parallel computing;
  • solve unsteady non-linear PDE.
This session is very useful for undergraduate students in studying numerical method and engineering mathematics courses.

Discussion session, 3:45pm–5pm

This discussion session is held to help researchers to develop their own applications using FreeFem++.