Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

φ-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations

Abstract : We present an immersed boundary method to simulate the creeping motion of a solid in a fluid thanks to the Stokes equation and a FEM element strategy called φ-FEM using the description of the solid with a level-set function. One of the advantages of our method is the use of standard finite element spaces and classical integration tools. We obtain the optimal convergence of the method theoretically and numerically.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03588715
Contributor : Michel Duprez Connect in order to contact the contributor
Submitted on : Tuesday, March 8, 2022 - 2:34:44 PM
Last modification on : Tuesday, June 21, 2022 - 3:34:00 AM

Files

main.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03588715, version 1

Citation

Michel Duprez, Vanessa Lleras, Alexei Lozinski. φ-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations. 2022. ⟨hal-03588715⟩

Share

Metrics

Record views

35

Files downloads

26