The cooling mechanism of minuscule ribbed surfaces

Ribbed Surfaces for Art, Architecture, and Visualization

Sequences of parameterized Hermite curves following with their endpoints along two guide rails are used to create “transparent” surfaces and tubular sculptures. This parameterized set-up allows modeling a wide variety of shapes in a natural way by just changing a few parameters. Potential applications range from mathematical visualization models to architecture.

Minuscule Representations

A Study of Immersed Boundary Method in a Ribbed Duct for the Internal Cooling of Turbine Blades

A STUDY OF IMMERSED BOUNDARY METHOD IN A RIBBED DUCT FOR THE INTERNAL COOLING OF TURBINE BLADES Long He Abstract In this dissertation, Immersed Boundary Method (IBM) is evaluated in ribbed duct geometries to show the potential of simulating complex geometry with a simple structured grid. IBM is first investigated in well-accepted benchmark cases: channel flow and pipe flow with circular crossse...

K-theory of Minuscule Varieties

Based on Thomas and Yong’s K-theoretic jeu de taquin algorithm, we prove a uniform Littlewood-Richardson rule for the K-theoretic Schubert structure constants of all minuscule homogeneous spaces. Our formula is new in all types. For the main examples of Grassmannians of type A and maximal orthogonal Grassmannians it has the advantage that the tableaux to be counted can be recognized without ref...

Computer Generation of Ribbed Sculptures

Charles Perry’s monumental sculpture Solstice is analyzed and its generative geometrical logic based on a twisted toroidal sweep is captured in a computer program with interactively adjustable control parameters. This program is then used to generate other models of ribbed sculptures based on one or more interlinked torus knots. From this family of sculptures related to Perry’s Solstice we deri...