On the problem of detecting source points acting on a fluid-Reference-Cited by-同舟云学术

On the problem of detecting source points acting on a fluid

Published:2023-01-01 Issue:1 Volume:56 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Abdelwahed Mohamed¹,Chorfi Nejmeddine¹

Affiliation:

1. Department of Mathematics, College of Sciences, King Saud University , Riyadh , Saudi Arabia

Abstract

Abstract The detection problem of a finite number of source points acting on a steady incompressible fluid flow from overdetermined boundary data was studied. The approach used in this study deals with the topological sensitivity technique. An asymptotic analysis of a prescribed cost function with respect to the domain perturbation was developed. Some numerical results to illustrate the efficiency and robustness of the developed source point detection algorithm were presented.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2023-0108/pdf

Reference19 articles.

1. C. Alves and A. Silvestre, On the determination of point-forces on a Stokes system, Math. Comput. Simulat. 66 (2004), no. 4, 385–397.

2. T. Gotz, Simulating particles in Stokes flow, J. Comput. Appl. Math. 175 (2005), no. 2, 415–427.

3. H. Zhou and C. Pozrikidis, Adaptive singularity method for Stokes flow past particles, J. Comput. Phys. 117 (1995), no. 1, 79–89.

4. M. Ouni, A. Habbal and M. Kallel, Determination of point-forces via extended boundary measurements using a game strategy approach, Proceeding of CARI, 2020, pp. 1–8.

5. M. Abdelwahed and N. Chorfi, Inverse problem resolution via Khon-vogelius formulation an topological sensitivity method, Fractals 30 (2022), no. 10, 1–6.