Robert Krasny is an Arthur F. Thurnau Professor of Mathematics. He is a Fellow of the American Mathematical Society and the American Physical Society (Division of Fluid Dynamics).
Professor Krasny is developing numerical methods for computer simulations in fluid dynamics and molecular dynamics. A longstanding goal is to compute vortex sheet roll-up, which is relevant to the structure of the wake that forms behind a solid body. He uses Green's function based Lagrangian particle methods, with adaptive quadrature schemes to evaluate the singular convolution integrals that arise in solving the Poisson equation. His group has developed new treecode algorithms for computing long-range particle interactions. Recent projects concern a boundary element method for the electrostatics of solvated proteins, and vortex flow on a rotating sphere for atmospheric modeling.
P. Bosler, L. Wang, C. Jablonowski, R. Krasny (2014) A Lagrangian particle/panel method for the barotropic vorticity equations on a rotating sphere, Fluid Dynamics Research 46, 031406.
H.A. Boateng, R. Krasny (2013) Comparison of treecodes for computing electrostatic potentials in charged particle systems with disjoint targets and sources, Journal of Computational Chemistry 34, 2159-2167.
W.H. Geng, R. Krasny (2013) A treecode-accelerated boundary integral Poisson-Boltzmann solver for solvated biomolecules, Journal of Computational Physics 247, 62-78.
K.J. Bergemann, R. Krasny, S.R. Forrest (2012) Thermal properties of organic light-emitting diodes, Organic Electronics 13, 1565-1568.
R. Krasny, L. Wang (2011) Fast evaluation of multiquadric RBF sums by a Cartesian treecode, SIAM Journal on Scientific Computing 33, 2341-2355.