Arthur F Thurnau Professor
4830 East Hall
Phone: (734) 763-3505
- Applied Mathematics
I'm interested in developing more accurate and efficient algorithms for computer simulations in fluid dynamics and molecular dynamics. The work involves designing an algorithm, writing a computer code, and running the code to gain insight into the physics or mathematics. A longstanding goal is to simulate vortex sheet motion which is relevant to the stability of wakes, for example the wake of a fish or an aircraft. The problem is challenging because it exhibits singularity formation and chaotic dynamics. The methods I use are based on the Green's function of the Laplace operator or a related PDE, and they use adaptive quadrature schemes to evaluate convolution integrals. In particular I developed new techniques for treecode algorithms which compute the forces acting among a set of particles exhibiting long-range interactions.
Current projects include
1) a particle method for fluid flow on a rotating sphere with applications to atmosphere and ocean dynamics,
2) the electrostatic potential of a solvated biomolecule using the Poisson-Boltzmann implicit solvent model, and
3) a drift-diffusion model for organic solar cells.
Robert Krasny has been elected a Fellow of the American Physical Society in the Division of Fluid Dynamics. 2008
Election to fellowship in the APS is limited to no more than one half of one percent of its membership each year.