213 citations · 931 across the 22 of their papers we have counts for
6 papers · 1 filter
Laplacian networks: growth, local symmetry and shape optimization
O. Devauchelle, P. Szymczak, M. Pecelerowicz +3
Inspired by river networks and other structures formed by Laplacian growth, we use the Loewner equation to investigate the growth of a network of thin fingers in a diffusion field.…
Where do rivers grow? Path selection and growth in a harmonic field
Yossi Cohen, Olivier Devauchelle, Hansjorg F. Seybold +3
River networks exhibit a complex ramified structure that has inspired decades of studies. Yet, an understanding of the propagation of a single stream remains elusive. Here we invok…
Interacting length scales in the reactive-infiltration instability
Piotr Szymczak, Anthony J. C. Ladd
The reactive-infiltration instability, which develops when a porous matrix is dissolved by a flowing fluid, contains two important length scales. Here we outline a linear stability…
Instabilities in the dissolution of a porous matrix
Piotr Szymczak, Anthony J. C. Ladd
A reactive fluid dissolving the surrounding rock matrix can trigger an instability in the dissolution front, leading to spontaneous formation of pronounced channels or wormholes. T…
The initial stages of cave formation: Beyond the one-dimensional paradigm
Piotr Szymczak, Anthony J. C. Ladd
The solutional origin of limestone caves was recognized over a century ago, but the short penetration length of an undersaturated solution made it seem impossible for long conduits…
Wormhole formation in dissolving fractures
P. Szymczak, A. J. C. Ladd
We investigate the dissolution of artificial fractures with three-dimensional, pore-scale numerical simulations. The fluid velocity in the fracture space was determined from a latt…