THE BEAVERS-JOSEPH INTERFACE BOUNDARY CONDITION is WELL APPROXIMATED by the BEAVERS-JOSEPH-SAFFMAN-JONES INTERFACE BOUNDARY CONDITION

Author

Yining Cao
Xiaoming Wang, Missouri University of Science and TechnologyFollow

Abstract

We prove that the difference between the solutions to the Stokes-Darcy system derived using the Beavers-Joseph or Beavers-Joseph-Saffman-Jones interfacial conditions is of the order of the Darcy number assuming the Reynolds number is below an explicit threshold value. Hence, the Beavers-Joseph-Saffman-Jones interface boundary condition is an excellent approximation of the classical Beavers-Joseph interface boundary condition in the physically important small Darcy number regime.

Recommended Citation

Y. Cao and X. Wang, "THE BEAVERS-JOSEPH INTERFACE BOUNDARY CONDITION is WELL APPROXIMATED by the BEAVERS-JOSEPH-SAFFMAN-JONES INTERFACE BOUNDARY CONDITION," SIAM Journal on Applied Mathematics, vol. 82, no. 3, pp. 1020 - 1044, Society for Industrial and Applied Mathematics, Jan 2022.

The definitive version is available at https://doi.org/10.1137/21M1462386

Department(s)

Mathematics and Statistics

Comments

National Natural Science Foundation of China, Grant 2019B030301001

Keywords and Phrases

Beavers-Joseph Interface Boundary Condition; Beavers-Joseph-Saffman-Jones Interfacial Boundary Condition; Darcy Number; Stokes-Darcy System

International Standard Serial Number (ISSN)

0036-1399

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2023 Society for Industrial and Applied Mathematics, All rights reserved.

Publication Date

01 Jan 2022