Onset of internal convection in superposed air-porous layer with heat source depending on solid volume fraction: influence of different modeling
E Kolchanova, N Kolchanov - Acta Mechanica, 2022 - Springer
A linear stability analysis for the onset of internal convection in a composite air-porous layer
with the heat source strength depending on the solid volume fraction is carried out through …
with the heat source strength depending on the solid volume fraction is carried out through …
Instability, bifurcation and nonlinear dynamics of Poiseuille flow in fluid overlying an anisotropic and inhomogeneous porous domain
The present study focuses on the finite amplitude analysis of Poiseuille flow in an
anisotropic and inhomogeneous porous domain that underlies a fluid domain. The nonlinear …
anisotropic and inhomogeneous porous domain that underlies a fluid domain. The nonlinear …
Dynamic transitions and bifurcations for thermal convection in the superposed free flow and porous media
We study the stability and dynamic transitions of thermal convection in a fluid layer overlying
a saturated porous media based on the Navier–Stokes–Darcy–Boussinesq model. We take …
a saturated porous media based on the Navier–Stokes–Darcy–Boussinesq model. We take …
Predicting convection configurations in coupled fluid–porous systems
A ubiquitous arrangement in nature is a free-flowing fluid coupled to a porous medium, for
example a river or lake lying above a porous bed. Depending on the environmental …
example a river or lake lying above a porous bed. Depending on the environmental …
The Beavers--Joseph Interface Boundary Condition is Well Approximated by the Beavers--Joseph--Saffman--Jones Interface Boundary Condition
Y Cao, X Wang - SIAM Journal on Applied Mathematics, 2022 - SIAM
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 …
using the Beavers--Joseph or Beavers--Joseph--Saffman--Jones interfacial conditions is of …
Stokes–Darcy system, small-Darcy-number behaviour and related interfacial conditions
W Lyu, X Wang - Journal of Fluid Mechanics, 2021 - cambridge.org
We show that the Stokes–Darcy system, which governs flows through adjacent porous and
pure-fluid domains in the two-domain approach without forced filtration, can be recovered …
pure-fluid domains in the two-domain approach without forced filtration, can be recovered …
Superconvergence of MAC scheme for a coupled free flow-porous media system with heat transport on non-uniform grids
X Li, H Rui - Journal of Scientific Computing, 2022 - Springer
In this paper, a marker and cell (MAC) scheme is constructed for the free flow-porous media
system with heat transport on non-uniform grids, where the Stokes-Darcy equation is …
system with heat transport on non-uniform grids, where the Stokes-Darcy equation is …
On Normal and Non-Normal Wave Statistics Implied by a Canonical–Microcanonical Gibbs Ensemble of the Truncated KdV System
Abstract The truncated Korteweg–De Vries (TKdV) system—a shallow-water wave model
with Hamiltonian structure that exhibits weakly turbulent dynamics—has been found to …
with Hamiltonian structure that exhibits weakly turbulent dynamics—has been found to …
How fluid-mechanical erosion creates anisotropic porous media
Using a Cauchy integral formulation of the boundary integral equations, we simulate the
erosion of a porous medium comprised of up to 100 solid bodies embedded in a two …
erosion of a porous medium comprised of up to 100 solid bodies embedded in a two …
Conservative unconditionally stable decoupled numerical schemes for the Cahn–Hilliard–Navier–Stokes–Darcy–Boussinesq system
W Chen, D Han, X Wang… - Numerical Methods for …, 2022 - Wiley Online Library
We propose two mass and heat energy conservative, unconditionally stable, decoupled
numerical algorithms for solving the Cahn–Hilliard–Navier–Stokes–Darcy–Boussinesq …
numerical algorithms for solving the Cahn–Hilliard–Navier–Stokes–Darcy–Boussinesq …