A novel diffuse interface model is presented for the direct numerical simulation of microstructure evolution in solidification processes involving convection in the liquid phase. The solidification front is treated as a moving interface in the diffuse approximation as known from phase-field theories. The no-slip condition between the melt and the solid is realized via a drag resistivity in the ...

A moving-mesh finite-difference solution of a Lotka-Volterra competition-diffusion model theoretical ecology is described in which the competition sufficiently strong to spatially segregate two populations, leading two-phase problem with coupling condition at moving interface. mesh approach preserves identities species space and time, so that parameters always refer correct population. The impl...

A stochastic process describing the behavior of the solid-on-solid interface in a strip of width L is studied. The invariant and reversible measure for the process is the Gibbs state with Hamiltonian H = Z [q(x)tt(x + 1 )[. Under "free" boundary conditions, we show that the height of the moving interface at any site converges, when suitable renormalized, to Brownian motion with a diffusion coef...

We consider two-dimensional Hele-Shaw corner flows without effect of the surface tension and with an interface extending to the infinity along one of the walls. Explicit solutions that present a ”long-pin” deformations of the trivial solution are got. Making use of the Polubarinova-Galin approach we derive parametric equations for the moving interface in terms of univalent mappings of a canonic...

This paper develops a user interface to input by moving a terminal device. First, a concept of the portable viewer with magnifying glass-like operation already proposed and remaining problems are described. Next, a new method to detect the device movement using optical flow is proposed. Then, a prototype with an embedded 32-bit MPU is built to verify the proposed method. As a result, basic func...

The Mach external pager interface allows applications to supply their own routines for moving pages to and from second-level store. Mach doesn’t allow applications to choose their own page replacement policy, however. Some applications have access patterns that may make least recently used page replacement inappropriate. In this paper, we describe an extension to the external pager interface th...

Several operating systems projects revolve around moving functionality above or below the kernel “red line” to increase flexibility or performance. We describe how a general model of partial evaluation encompasses this trend. The operating systems community should not be content with a single interface between applications and the operating system, even if that interface allows extension below ...