Homogenization for rigid suspensions with random velocity-dependent interfacial forces

Algorithmic regularization with velocity-dependent forces

Algorithmic regularization uses a transformation of the equations of motion such that the leapfrog algorithm produces exact trajectories for two-body motion as well as regular results in numerical integration of the motion of strongly interacting few-body systems. That algorithm alone is not sufficiently accurate and one must use the extrapolation method for improved precision. This requires th...

Numerical Homogenization on Approach for Stokesian Suspensions

Homogenization of Parabolic Equations with Large Time-dependent Random Potential

This paper concerns the homogenization problem of a parabolic equation with large, timedependent, random potentials in high dimensions d ≥ 3. Depending on the competition between temporal and spatial mixing of the randomness, the homogenization procedure turns to be different. We characterize the difference by proving the corresponding weak convergence of Brownian motion in random scenery. When...

Comparison Final Velocity for Land Yacht with a Rigid Wing and Cloth Sail

The powering requirement of a land yacht is one of the most important aspects of its design. In this respect the wind tunnel testing is an effective design tool. In fact, changing the parameters of the vehicle and testing the changes in the wind tunnel will give us a better understanding of the most efficient vehicle, and yet it is time consuming, expensive, and has inherent scaling errors. Ano...

On homogenization of space-time dependent degenerate random flows

We study a diffusion with time-dependent random coefficients. The diffusion coefficient is allowed to degenerate. We prove an invariance principle when this diffusion is supposed to be controlled by another one with time independent coefficients.