Orthogonal grid physics-informed neural networks: A neural network-based simulation tool for advection–diffusion–reaction problems

Q Hou, Z Sun, L He, A Karemat - Physics of Fluids, 2022 - pubs.aip.org
Stable and accurate reconstruction of pollutant transport is a crucial and challenging
problem, including the inverse problem of identifying pollution sources and physical …

Lie group solutions of advection-diffusion equations

Y Sun, AS Jayaraman, GS Chirikjian - Physics of Fluids, 2021 - pubs.aip.org
Transport phenomena in homogeneous and inhomogeneous media are commonly
encountered in many practical and industrial applications, which are modeled by advection …

Approximate solutions of the advection–diffusion equation for spatially variable flows

Y Sun, AS Jayaraman, GS Chirikjian - Physics of Fluids, 2022 - pubs.aip.org
The advection–diffusion equation (ADE) describes many important processes in
hydrogeology, mechanics, geology, and biology. The equations model the transport of a …

[HTML][HTML] Efficient modeling of three-dimensional convection–diffusion problems in stationary flows

JC Thiele, I Gregor, N Karedla, J Enderlein - Physics of Fluids, 2020 - pubs.aip.org
A large number of transport processes in physics, chemistry, and engineering are described
by a convection–diffusion equation. This equation is notoriously difficult to solve due to the …

[HTML][HTML] Modeling charge separation in charged nanochannels for single-molecule electrometry

J Enderlein, D Sakhapov, I Gregor, M Croci… - The Journal of …, 2022 - pubs.aip.org
We model the transport of electrically charged solute molecules by a laminar flow within a
nanoslit microfluidic channel with electrostatic surface potential. We derive the governing …

[HTML][HTML] Diffusion fails to make a stink

G McCaul, A Mershin, DI Bondar - Physics of Fluids, 2021 - pubs.aip.org
In this work, we consider the question of whether a simple diffusive model can explain the
scent tracking behaviors found in nature. For such tracking to occur, both the concentration …