This paper investigates the effect of geometric parameters -- rod diameter and distance between airfoil on noise generated by rod-airfoil configuration using experimental numerical techniques. The simulations are carried out low-dissipation up-wind scheme Delayed-Detached-Eddy Simulation (DDES) approach with Shear-Layer Adapted (SLA) sub-grid length scale (SGS) for a faster transition RANS LES....

The six permutations of three elements #i, x 2 , x 3 considered as projective coordinates in a plane determine an involution of sextuples of points which may be mapped on a rational surface, f I shall show that in case of the involution thus defined the map is a quadric whose relation with the plane, established with sufficient details, will lead to some interesting geometric applications. The ...

The efficiency of Probabilistic Roadmaps (PRM) depends on the number of samples in free configuration space and computation time to connect such samples. Key idea of this approach is to generate samples with bounding volume expansion and connect free samples based on geometric characteristics so that straight–line local planner does not do collision check while it connects a sample to another. ...

New quadrotor UAV control algorithms are developed, based on nonlinear surfaces composed of tracking errors that evolve directly on the nonlinear configuration manifold, thus inherently including in the control design the nonlinear characteristics of the SE(3) configuration space. In particular, geometric surface-based controllers are developed and are shown, through rigorous stability proofs, ...

As an extension of projective homology, stereohomology is proposed via an extension of Desargues theorem and the extended Desargues configuration. Geometric transformations such as reflection, translation, central symmetry, central projection, parallel projection, shearing, central dilation, scaling , and so on are all included in stereohomology and represented as modified Householder elementar...

This paper exploits notions of geometric homogeneity to show that (configuration) controllability results for a large class of mechanical systems with drift can be recovered by investigating a class of nonlinear dynamical systems satisfying certain homogeneity conditions. This broad class of mechanical systems, called 1-homogeneous systems, is defined to satisfy certain geometric homogeneous co...