Skip to Main content Skip to Navigation
Journal articles

Data assimilation finite element method for the linearized Navier-Stokes equations in the low Reynolds regime

Abstract : In this paper we are interested in designing and analyzing a finite element data assimilation method for laminar steady flow described by the linearized incompressible Navier-Stokes equation. We propose a weakly consistent stabilized finite element method which reconstructs the whole fluid flow from velocity measurements in a subset of the computational domain. Using the stability of the continuous problem in the form of a three balls inequality, we derive quantitative local error estimates for the velocity. Numerical simulations illustrate these convergences properties and we finally apply our method to the flow reconstruction in a blood vessel.
Complete list of metadatas

Cited literature [36 references]  Display  Hide  Download

https://hal.inria.fr/hal-02318504
Contributor : Miguel Angel Fernández <>
Submitted on : Thursday, October 17, 2019 - 10:32:12 AM
Last modification on : Thursday, May 7, 2020 - 1:54:10 PM
Document(s) archivé(s) le : Saturday, January 18, 2020 - 1:29:34 PM

File

paper.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02318504, version 1

Citation

Muriel Boulakia, Erik Burman, Miguel Angel Fernández, Colette Voisembert. Data assimilation finite element method for the linearized Navier-Stokes equations in the low Reynolds regime. Inverse Problems, IOP Publishing, inPress. ⟨hal-02318504⟩

Share

Metrics

Record views

169

Files downloads

498