Multicanonical Studies of Fluid Behavior

We applied the multicanonical procedure to the nonlinear Schrodinger equation in order to generate the probability distribution function (pdf) of rogue wave heights in the region of extremely small probabilities. This yielded a simple parametrization of the dependence of the slope of the pdf on the nonlinearity coefficient for large amplitudes. [M. Tong and D. Yevick, Wave Motion 66, 56 (2016) We subsequently investigated the pdf of the drag generated by of a rectangular obstacle associated with random changes to either the input flow pattern or the boundary profile. Our results demonstrated that by integrating the multicanonical and lattice Boltzmann procedures, the probability of highly unlikely drag values can be determined with high accuracy. [M. Tong and D. Yevick, Physics of Fluids 30, 033605 (2018)