Labyrinth weirs have not a straight crest in the perpendicular direction to the flow. The plan view of the weir consists of multiple and broken linear crests that cause the increase of its effective length. The advantages of this type of weirs are higher discharge capacity, easy aeration as well as low fluctuations of water surface at the weir upstream. This paper deals with the simulation of t...

In this paper we present a surface formulation and curved panel integration method for computing the van der Waals interaction energy between a molecular solute and aqueous solvent. This modeling problem arises in computational drug design, where one wishes to understand the energetic tradeoff between a trial drug’s interactions with solvent and its interactions with the target. We use the dive...

To explore the interaction between topological defects and curvature in materials with orientational order, we perform Monte Carlo studies of the two-dimensional XY model on the surface of curved substrates. Each curved surface is patterned with a random lattice constructed via random sequential absorption, and an XY spin is positioned at each lattice site. Spins lie in the plane locally tangen...

Surface formulations of biophysical modeling problems offer attractive theoretical and computational properties. Numerical simulations based on these formulations usually begin with discretization of the surface under consideration; often, the surface is curved, possessing complicated structure and possibly singularities. Numerical simulations commonly are based on approximate, rather than exac...

We present a method that flattens a curved surface and its neighborhood to create effective, uncluttered visualizations by applying standard flow visualization techniques in the deformed space. Level sets of the distance from the curved surface are mapped to parallel planes. Data fields are mapped accordingly. Our method eases the visual inspection and analysis of a curved surface’s vicinity by...

The design of optical systems for digital cameras is complicated by the requirement that the image surface be planar, which results in complex and expensive optics. We analyze a compact optical system with a curved image surface and compare its performance to systems with planarimage surfaces via optics analysis and image system simulation. Our analysis shows that a curved image surface provide...

Nanoporous alumina which was produced by a conventional direct current anodization [DCA] process at low temperatures has received much attention in various applications such as nanomaterial synthesis, sensors, and photonics. In this article, we employed a newly developed hybrid pulse anodization [HPA] method to fabricate the nanoporous alumina on a flat and curved surface of an aluminum [Al] fo...

The industrial manufacturing is making more widespread use of three-dimensional object recognition techniques. The shapes of many 3D objects can be described using some basic surface elements. Many of these basic surface elements are quadric surfaces, such as spheres and cylinders. For some industrial parts, the surface located at the junction of two other surface elements can often be regarded...