Hedrick Assistant Adjunct Professor

Department of
Mathematics, UCLA

*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

*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

- Analytic description of the particle-particle, particle-mesh (P3M) method

Some informal notes on the basic ideas behind the P3M method to efficiently compute long-range Coulomb interactions for N-particle systems. - Numerical methods for the one way water wave equation

REU report that contains some calculations cited here.