The contribution of this paper is the formulation of the wind farm power maximization problem as a multi-stage dynamic programming problem. This formulation is made possible by introducing a state-space model to describe the evolution of the wind velocity profile as a function of the free-stream wind velocity and the wind turbine control variables. This state-space model is coupled with a multi...

We consider a two-dimensional convection model augmented with the rotational Coriolis forcing, Ut + U · ∇xU = 2kU, with a fixed 2k being the inverse Rossby number. We ask whether the action of dispersive rotational forcing alone, U, prevents the generic finite time breakdown of the free nonlinear convection. The answer provided in this work is a conditional yes. Namely, we show that the rotatin...

In this talk we consider numerical methods to efficiently solve the linear system arising from the discretization of models of coupled magma/mantle dynamics. The model we consider is based on a system of partial differential equations derived by McKenzie [1]. This system describes the creeping flow of high-viscosity mantle matrix and the porous flow of magma, a process which is described by a c...

S U M M A R Y One approach to incorporate topography in seismic finite-difference codes is a local modification of the difference operators near the free surface. An earlier paper described an approach for modelling irregular boundaries in a constant-density acoustic finite-difference code, based on the second-order formulation of the wave equation that only involves the pressure. Here, a simil...

We develop a novel perturbation theory formulation to evaluate polarization-mode dispersion (PMD) for a general class of scaling perturbations of a waveguide profile based on generalized Hermitian Hamiltonian formulation of Maxwell’s equations. Such perturbations include elipticity and uniform scaling of a fiber cross section, as well as changes in the horizontal or vertical sizes of a planar w...

A fast multipole boundary element method (BEM) is presented in this paper for large-scale analysis of two-dimensional (2-D) Stokes flow problems based on a dual boundary integral equation (BIE) formulation. In this dual BIE formulation, a linear combination of the conventional BIE for velocity and the hypersingular BIE for traction is employed to achieve better conditioning for the BEM systems ...

Simple stochastic differential equation models have been applied by several researchers to describe the dispersion of tracer particles in the planetary atmospheric boundary layer and to form the basis for computer simulations of particle paths. To obtain the drift coefficient, empirical vertical velocity distributions that depend on height above the ground both with respect to standard deviatio...

The aim of this paper is to analyze a mixed formulation for the two dimensional Stokes eigenvalue problem where unknowns are stress and velocity, whereas pressure can be recovered with simple postprocess stress. tensor written in terms vorticity fluid, leading an alternative that incorporates physical feature. We propose numerical method approximated suitable Nédelec finite elements, velocity p...

Abstract