An experimental and numerical investigation of the structure of plane underexpanded turbulent air jets in water was conducted to characterize their structure and mixing properties. Measurements included void fraction profiles, static pressure distributions, entrainment rates, and high speed flow visualization. A locally homogeneous flow model was also developed with compressibility effects trea...

We present a novel force sensor designed to facilitate force measurement deployment in various applications such as load cells or force sensitive surfaces. This force sensor can indeed inherently sense out-of-plane forces. It is a monolithic structure that integrates two resonators and provides a steady area. If a perpendicular force is applied on this steady area, a frequency shift of the two ...

Grain boundary plane orientation is a profoundly important determinant of character in polycrystalline materials that is not well understood. This work demonstrates how boundary plane orientation fundamental zones, which capture the natural crystallographic symmetries of a grain boundary, can be used to establish structure-property relationships. Using the fundamental zone representation, trend...

We study classical solutions to the one-phase free boundary problem in which the free boundary consists of smooth curves and the components of the positive phase are simply-connected. We show that if two components of the free boundary are close, then the solution locally resembles an entire solution discovered by Hauswirth, Hélein and Pacard, whose free boundary has the shape of a double hairp...

A graph G=(V, E) is (x, y)-choosable for integers x> y 1 if for any given family [A(v) | v # V] of sets A(v) of cardinality x, there exists a collection [B(v) | v # V] of subsets B(v)/A(v) of cardinality y such that B(u) & B(v)=< whenever uv # E(G). In this paper, structures of some plane graphs, including plane graphs with minimum degree 4, are studied. Using these results, we may show that if...

We present an algorithm to reduce the computational complexity for plane-wave codes used in electronic structure calculations. The proposed algorithm avoids the diagonalization of large Hermitian matrices arising in such problems. The computational time for the diagonalization procedure typically grows as the cube of the number of atoms, or the number of eigenvalues required. To reduce this com...

In this report, we describe an obstacle identification method using affine structures from motion. We first identify a reference plane by tracking feature points across image sequences. We then compute the homographies between images induced by the reference plane from these feature points. Once the feature points are categorized as on the plane and off the plane, we reconstruct the affine stru...

Attenuation of random noise and enhancement of structural continuity can significantly improve the quality of seismic interpretation. We present a new technique, which aims at reducing random noise while protecting structural information. The technique is based on combining structure prediction with either similarity-mean filtering or lower-upper-middle (LUM) filtering. We use structure predict...

We present an algorithm to reduce the computational complexity for plane-wave codes used in electronic structure calculations. Our proposed algorithm avoids the diagonalization of large Hermitian matrices arising in such problems. The computational time for the diagonalization procedure typically grows as the cube of the number of atoms, or the number of eigenvalues required. To reduce this com...