In preparation -- drafts available upon request
- Fluid dynamics of phase separation in confined aqueous two-phase systems
E. W. Hester, S. P. Carney, V. Shah, A. L. Bertozzi, and D. Di Carlo
- Numerical methods for reducing the boundary error in numerical homogenization
S. P. Carney, M. Dussinger, and B. Engquist
Publications
- Physics informed neural networks for elliptic equations with oscillatory coefficients
S. P. Carney, A. Gangal, and L. Kim
Preprint.
  arxiv
- Slow-growth approximation for near-wall patch representation of wall bounded turbulence
S. P. Carney, R. D. Moser
Submitted.
  arxiv
- Modeling electrokinetic flows with the discrete ion continuum overdamped solvent algorithm
D. R. Ladiges, J. G. Wang, I. Srivastava, S. P. Carney, A. Nonaka, A. L. Garcia, A. Donev, and J. B. Bell
Physical Review E, 106, 035104, 2022.
  doi
  arxiv
- Heterogeneous multiscale methods for rough-wall laminar viscous flow
S. P. Carney and B. Engquist
Communications in Mathematical Sciences, 20, No. 8, 2069-2106, 2022.
  doi
  arxiv
- Discrete ion stochastic continuum overdamped solvent algorithm for modeling electrolytes
D. R. Ladiges, S. P. Carney, A. Nonaka, K. Klymko, G. Moore, A. L. Garcia, S. Natesh, A. Donev, and J. B. Bell
Physical Review Fluids, 6, 044309, 2021.   doi
 arxiv
- Low Mach number fluctuating hydrodynamics model for ionic liquids
K. Klymko, S. P. Carney, A. Nonaka, A. L. Garcia, and J. B. Bell
Physical Review Fluids, 5, 093701, 2020; named Editors' Suggestion.
  doi
  arxiv
- Near-wall patch representation of wall bounded turbulence
S. P. Carney, B. Engquist, and R. D. Moser
Journal of Fluid Mechanics, 903, A23, 2020.
  doi
  arxiv
- Water wave propagation in unbounded domains. Part II:
Numerical methods for fractional PDEs
G. I. Jennings, D. Prigge, S. Carney, S. Karni, J. B. Rauch, R. Abgrall
Journal of Computational Physics, 275, 443-458, 2014.
  doi