The effective representation of the littoral ocean environment has been a long-standing challenge for the Modeling and Simulation (M&S) community. The need for such a representation continues to grow, as the U.S. Navy refocuses from deep ocean to littoral missions. One of the greatest challenges of the littoral region is the wide range of spatial and temporal scales that must be represented. Fo...

geospatial information system (gis) has emerged as a very powerful tool for capturing, storing, analyzing, managing, and presenting data that is linked to location. the location information, which is usually obtained from existing maps or the global positioning systems (gps), refers to different coordinate and map projection systems. therefore, unification of the coordinate and mapping systems ...

We introduce an orthogonal body-fitted grid generation technique, and employ a high-order finite difference method to simulate the acoustic wave under the orthogonal curvilinear coordinate system. Compared with the rectangular grid, the orthogonal body-fitted grid can describe the rugged topography more accurately and eliminate the false scattering waves caused by ladder-like mesh effectively. ...

Curvilinear edges and surfaces are developed to span a given logically-cuboid distribution of nodes. The underlying construction uses four successive nodes to de ne a curve spanning the middle pair as follows: One interpolates each of the two successive triples of nodes with the segment of a circle or straight line. Then one blends the two segments continuously between the middle pair of nodes....

The weighted-essentially non-oscillatory (WENO) schemes have been used to calculate the shock-embedded compressible fluid flow ([9]). The potential high-fidelity qualities of this approach make it attractive for jet noise simulation. However, in its present form, the WENO procedure has many drawbacks that prevent direct applications to jet noise simulations. In this paper, various WENO procedur...

Multiscale wavelets are used to solve the quantum eigenvalue equations for the hydrogen molecular ion H2 1 in the Born–Oppenheimer approximation. Normally restricted to Cartesian systems, ‘‘wavelets on the interval’’ ~a normal wavelet family augmented by special edge functions! have recently been applied to such boundary value problems as the hydrogen atom in spherical polar coordinates @J. Mac...

Volume Of Fluid (VOF) is one of the most powerful methods to resolve free surface ows. In this study, a new algorithm is developed in a curvilinear coordinate system, which implements an implicit pressure based method (SIMPLE) with a staggered grid and a Lagrangian propagation of the interface, using the VOF method in the computational domain. Based on this algorithm, a computer code is generat...

We present an open loop control design allowing to steer a wheeled mobile robot along a prespecified smooth geometric path, minimizing a given cost index and satisfying a set of dynamical constraints. Using the concept of “differential flatness,” the problem is equivalent to the selection of the optimal time parametrization of the geometric path. This parametrization is characterized by a diffe...