116 citations · 489 across the 28 of their papers we have counts for
7 papers · 1 filter
Asymptotic and numerical analysis of a porous medium model for transpiration-driven sap flow in trees
Bebart Maisar Janbek, John M. Stockie
We develop a 3D porous medium model for sap flow within a tree stem, which consists of a nonlinear parabolic partial differential equation with a suitable transpiration source term…
Simulating biofilm deformation and detachment with the immersed boundary method
Rangarajan Sudarsan, Sudeshna Ghosh, John M. Stockie +1
We apply the immersed boundary (or IB) method to simulate deformation and detachment of a periodic array of wall-bounded biofilm colonies in response to a linear shear flow. The bi…
Parametric resonance in spherical immersed elastic shells
William Ko, John M. Stockie
We perform a stability analysis for a fluid-structure interaction problem in which a spherical elastic shell or membrane is immersed in a 3D viscous, incompressible fluid. The shel…
Simulating flexible fiber suspensions using a scalable immersed boundary algorithm
Jeffrey K. Wiens, John M. Stockie
We present an approach for numerically simulating the dynamics of flexible fibers in a three-dimensional shear flow using a scalable immersed boundary (IB) algorithm based on Guerm…
Numerical simulations of particle sedimentation using the immersed boundary method
Sudeshna Ghosh, John M. Stockie
We study the settling of solid particles within a viscous incompressible fluid contained in a two-dimensional channel, where the mass density of the particles is slightly greater t…
A mathematical model of sap exudation in maple trees governed by ice melting, gas dissolution and osmosis
Maurizio Ceseri, John M. Stockie
We develop a mathematical model for sap exudation in a maple tree that is based on a purely physical mechanism for internal pressure generation in trees in the leafless state. Ther…
Numerical Simulations of Gravity-Driven Fingering in Unsaturated Porous Media Using a Non-Equilibrium Model
Michael Chapwanya, John M. Stockie
This is a computational study of gravity-driven fingering instabilities in unsaturated porous media. The governing equations and corresponding numerical scheme are based on the wor…