sotuto

Demonstration codes for the practice of the level set based mesh evolution method for shape and topology optimization

Documentation

See the companion article.

About the team

These codes are based on researches conducted by Grégoire Allaire, Charles Dapogny, Florian Feppon and Pascal Frey.

Contact: charles.dapogny@math.cnrs.fr

License and copyright

Code is under the [terms of the GNU Lesser General Public License].

References

Initial references about the method

Shape optimization with a level set based mesh evolution method - G. Allaire, C. Dapogny and P. Frey - Comput. Meths. Appl. Mech. Engrg., 282, (2014), pp. 22--53

A mesh evolution algorithm based on the level set method for geometry and topology optimization - G. Allaire, C. Dapogny and P. Frey - Struct. Multidisc. Optim., 48, 4, (2013), pp.711-715

Topology and geometry optimization of elastic structures by exact deformation of simplicial mesh - G. Allaire, C. Dapogny and P. Frey - C. R. Acad. Sci. Paris, Série I, 349, pp.999-1003 (2011)

Further developments

Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers - F. Feppon, G. Allaire, C. Dapogny and P. Jolivet, Comput. Meths. Appl. Mech. Engrg., 376, 113638, (2021)

Topology optimization of thermal fluid--structure systems using body-fitted meshes and parallel computing - F. Feppon, G. Allaire, C. Dapogny and P. Jolivet, J. Comput. Phys., 417, 109574, (2020)

Shape optimization of a coupled thermal fluid-structure problem in a level set mesh evolution framework - F. Feppon, G. Allaire, F. Bordeu, J. Cortial and C. Dapogny, SeMA J., 76, 3, (2019), pp. 413--458

Companion article of this repository

Shape optimization using a level set based mesh evolution method: an overview and tutorial - C. Dapogny and F. Feppon, C. R. Acad. Sci. Paris, 361(G8), (2023), pp. 1267--1332