Stokes and Darcy laws have found wide application in the field of hydrodynamics. Over recent decades, a lot of significant research efforts have focused on exploring the interconnected Stokes-Darcy model to gain deeper insights into fluid dynamics phenomena.Various types of interface and boundary conditions, improved models have been proposed and thoroughly studied in this context. Moreover, the stochastic Stokes-Darcy model has emerged as a valuable tool for incorporating uncertainties and refining our understanding of these processes. In this review, we will analyze the classical , and stochastic Stokes-Darcy models, aiming to comprehensively explore their advantages and drawbacks, as well as some numerical methods. We focus on the importance of fractional order derivatives in models in hydrodynamics and analyze the advantages of new generalized fractional order stochastic Stokes-Darcy models.
A REVIEW OF STOKES-DARCY MODEL
Published June 2024
Abstract
Language
Рус
Keywords
Fractional derivatives
memory
Stokes-Darcy model
random variables
Beavers-Joseph-Saffman condition
porous media
numerical methods
How to Cite
[1]
Бердышев, А. and Боранбек, К. 2024. A REVIEW OF STOKES-DARCY MODEL. Bulletin of the Abai KazNPU, the series of "Physical and Mathematical Sciences". 86, 2 (Jun. 2024). DOI:https://doi.org/10.51889/2959-5894.2024.86.2.003.