Selected • Research Output • Publications • Invited Talks • Scientific Contributions

Selected Publications and Scientific Contributions

Selected peer-reviewed journal publications, book chapters, invited talks, and conference presentations across applied mathematics, scientific computing, fluid dynamics, porous media, and inverse problems.

Selected Peer-Reviewed Journal Publications

Rigorous derivation of a new macroscopic model for partially saturated flow of a liquid in multilayered thin swelling porous media
International Journal of Heat and Mass Transfer, 2019
A new efficient mass exchange closure for modeling unsaturated flows and mass transport processes in thin porous media
International Journal of Heat and Mass Transfer, 2019
Waves and instabilities in high quality adiabatic flow in microgap channels
International Journal of Multiphase Flow, 2016
Eigenspectra and mode coalescence of temporal instability in two-fluid flows
Physics of Fluids, 2015
Waves and instabilities in high quality adiabatic flow in microgap channels
International Journal of Multiphase Flow, 2016
Numerical and experimental investigations on the meshing model choice of a NACA 2415 airfoil wind turbine placed in an open wind tunnel
Journal of Physical Mathematics, 2015
Surface modes in inviscid free surface shear flows
ZAMM Journal of Applied Mathematics and Mechanics, 2011
On the stability of plane parallel viscoelastic shear flows in the limit of infinite Weissenberg and Reynolds numbers
Journal of Non-Newtonian Fluid Mechanics, 2010
Instabilities in fluidized beds
Far East Journal of Applied Mathematics
Numerical simulation of three-dimensional mixed-convection in a lid-driven square cavity
Far East Journal of Applied Mathematics

Selected Book Chapters

Elastic effects on the inviscid instability of shear flows
Nova Science Publishers, 2012
Modeling Multiphase Flow in Thin Absorbent Swelling Porous Materials (forthcoming)
Wicking in Porous Materials, 2026

Selected Invited Talks and Conference Presentations

Advanced Multiscale Modeling and Simulation of Unsaturated Flow in Swelling Porous Media (Poster)

A. Kaffel — SIAM Great Lakes Section Annual Meeting, Illinois Institute of Technology, Sept 27–28, 2025.

SOCAMS 2025

University of California, Riverside (UCR), Riverside, CA — April 2025. Link

AMS 2024 Spring Central Sectional Meeting — Special Session: Recent Advances in Numerical PDE Solvers by Deep Learning

Milwaukee, WI — April 2024. Link

Modeling Multiphase Flow in Thin Absorbent Swelling Porous Materials

A. Kaffel, K. Pillai — InterPore 2025 (17th International Conference on Porous Media), May 19–22, 2025, Albuquerque, NM, USA.

Wavelet algorithms for a high-resolution image reconstruction in magnetic induction tomography

A. Kaffel — SOCAMS 2019, Caltech, Pasadena, CA, Apr 27, 2019.

On modeling partially-saturated flow of a liquid in multilayered thin swelling porous media

A. Kaffel, K. Pillai — InterPore 2018, New Orleans, May 14–17, 2018.

On modeling unsaturated flow of a liquid through multiple layers of thin, swelling porous media

A. Kaffel, K. Pillai — 8th International Conference on Porous Media & Annual Meeting, Cincinnati, OH, USA, May 9–12, 2016.

Annular flow instability in microgap channels

C. Holloway, A. Kaffel, A. Bar-Cohen, A. Riaz — Ninth International Conference on two-phase systems for ground and space applications (ITTW), Baltimore, MD, Sept 22–26, 2014.

Linear stability analysis of thin films in wall bounded shear flow

A. Kaffel, A. Riaz — 66th Annual APS Division of Fluid Dynamics, Pittsburgh, PA, Nov 24–26, 2013. APS link

Linear stability analysis of evaporating liquid films in wall bounded shear flows

A. Kaffel, A. Riaz — 2013 Research Symposium on Environmental and Applied Fluid Dynamics, Johns Hopkins University, May 2013. Program PDF

Shear flow instabilities in viscoelastic fluids (Plenary session)

A. Kaffel, M. Renardy — CEFD 2013, Sfax, Tunisia, March 18–20, 2013. Program

On the stability of two-layer channel flow

A. Kaffel — 65th Annual APS Division of Fluid Dynamics, San Diego, CA, Nov 18–20, 2012. APS link

Modeling and numerical simulation of particulate flows in fluidized beds

A. Kaffel, R. Spiteri — Canadian Symposium on Fluid Dynamics (CAIMS/SCMAI), Toronto, Canada, June 24–28, 2012. Fields Institute

On the stability of plane parallel viscoelastic shear flows in the limit of infinite Weissenberg and Reynolds numbers

A. Kaffel, M. Renardy — Applied Mathematics and Mathematical Physics Seminar, University of Saskatchewan, Canada, July 2011. PIMS link

Elastic effects on the shear flow instabilities in viscoelastic fluids

A. Kaffel, M. Renardy — APS March Meeting, Dallas, TX, March 21–25, 2011. APS link

Short wave instabilities in free surface shear flows

A. Kaffel, M. Renardy — SIAM Conference on Geosciences (GS11), Long Beach, CA, March 21–24, 2011. SIAM GS11

Elastic effect on the stability of viscoelastic shear flows in the limit of infinite Weissenberg and Reynolds numbers

A. Kaffel, M. Renardy — SIAM Conference on Geosciences (GS11), Long Beach, CA, March 21–24, 2011. SIAM GS11

Surface modes in inviscid free surface shear flows

A. Kaffel, M. Renardy — AMS Session on Fluid Mechanics and Mechanics, Joint Mathematics Meetings, New Orleans, LA, Jan 6–9, 2011. JMM link

Barotropic instability in Geophysical Fluid Dynamics

A. Kaffel, M. Renardy — 2010 Fall Eastern AMS Sectional Meeting, Syracuse, NY, Oct 2–3, 2010. AMS link

Linear instability of plane parallel viscoelastic shear flows in the limit of infinite Weissenberg and Reynolds numbers

A. Kaffel, M. Renardy — 2010 Fall Western AMS Sectional Meeting, Los Angeles, CA, Oct 9–10, 2010. AMS link

On the stability of plane parallel viscoelastic shear flows in the limit of infinite Weissenberg and Reynolds numbers

A. Kaffel, M. Renardy — Frontiers in Applied and Computational Mathematics (FACM 10), NJIT, Newark, NJ, May 21–23, 2010. Program

Closure of a 2D Saint Venant model for free surface flows on rough bottoms

A. Kaffel — Fall Fluid Mechanics Symposium, Virginia Tech, Nov 10, 2009. Abstracts

Simulation of the potential flow using the Boundary Element method with higher order elements for the control of an underwater vehicle

A. Kaffel — SIAM Annual Meeting, Denver, CO, July 6–10, 2009. SIAM link

Effects of secondary flows on the transverse distribution of the averaged velocity in free surface flows

A. Kaffel — SIAM Conference on Control and Its Applications, Denver, CO, July 6–10, 2009.

Simulation of flow and dynamics for Unmanned Underwater Vehicle

A. Kaffel, M. Sahraoui, A. Chtourou — ICAMEM 2008, Sousse, Tunisia, Dec 16–18, 2008. Brochure

Caltech Applied Mathematics Symposium
2019
InterPore International Conference
2018, 2025

Wicking as partially-saturated flow of a liquid in thin swelling porous media (Poster)

A. Kaffel, K. Pillai — InterPore 2018, New Orleans, USA, May 14–17, 2018.

Joint Mathematics Meetings (JMM 2018)

San Diego, CA — Jan 9–14, 2018. Link

Burgers Symposium (13th Annual)

University of Maryland, College Park — Nov 16, 2016. Link

8th International Conference on Porous Media & Annual Meeting

Cincinnati, OH — May 9–12, 2016. Link

Waves and flow instabilities problems. NASA Stennis Space Center invited seminar
2017
APS Division of Fluid Dynamics
2012, 2013
SIAM Conferences
2009-2025
AMS Conferences
2010-2024