The propagation equation, written in a curvilinear coordinate system, is solved by using a perturbation method inspired from quantum physics and extended to imaginary eigenvalues and evanescent waves. The parameter of perturbation is the groove depth which is small compared to the period. The method is expanded up to second order for the non-degenerate problem. In this way the solutions have an...

We present a practical experience in adding a dynamic-load-balancing capability to an existing large parallel application multiresolution molecular dynamics (MRMD) which is based on uniform mesh decomposition. The new load-balancing scheme uses adaptive curvilinear ccordinates to represent partition boundaries. Workloads are partitioned with a uniform 3-dimensional mesh in the curvilinear coord...

It is shown that toroidal surfaces that extremize a properly weighted surface integral of the squared normal component of a solenoidal three-vector field capture the local invariant dynamics, in that a field line that is anywhere tangential to the surface must be confined to the surface everywhere. In addition to an elementary three-vector calculus derivation, which relies on a curvilinear toro...

This manual describes the basic principles of the Military Grid Reference System and the nonstandard reference systems. It describes the method for determining references on maps and charts at scales of 1:1,000,000 and larger. It contains identifications for the grid zone designations and for the 100,000 meter squares of the Universal Transverse Mercator Grid and the Universal Polar Sterographi...

We present an algorithm for eeciently computing ray intersections with multi-resolution global terrain partitioned by spheroidal height-augmented quadtrees. While previous methods support terrain deened on a Cartesian coordinate system, our methods support terrain deened on a two-parameter ellipsoidal coordinate system. This curvilin-ear system is necessary for an accurate model of global terra...

[1] Unmodelled sub-daily periodic signals can propagate into time series of daily geodetic coordinates and tropospheric estimates at various different frequencies. Geophysical interpretations of geodetic products, particularly at seasonal timescales, can therefore be affected by poorly modelled signals in the geodetic analysis. In this study, we use two solid Earth tidemodels (IERS2003 and IERS...

We discuss enhancing the generality of 2-D unstructured mesh programming by isolating some geometric dependencies so that they can be easily changed. The speciic task discussed is quality mesh generation for a 2-D man-ifold by local reenement with Delaunay insertion. The geometric dependencies that we wish to isolate are its embedded global coordinate system , including its dimension (planar or...

Local normal-mode analysis for a collinear potential energy surface g?nrratss a system of curvilinear coordinaieh. which ;\re orthogonal in the mass-skewed system. The motion is locally separable in these coordinatrs. We compars the utility ai one of the normal modes as a transversal-vihralion coordinate. with the convcnrional choicr of the dire&on perpendicular w the reaction coordinate in the...

We present a novel scheme to interactively visualize time-varying scalar fields defined on a curvilinear grid. We create a 3D warp texture that maps points in R into the grid coordinate system. At rendering time, the warping function is reconstructed at each fragment using tri-linear interpolation, and provides the 3D texture coordinates required to look up a scalar field value stored in a sepa...

Incompressible stationary flows of ideal plasma are observed. By introduction of curvilinear system of coordinates in which streamlines and magnetic force lines form a family of coordinate surfaces, MHD equations are partially integrated and brought to a certain convenient form. It is demonstrated that the admissible group of Bogoyavlenskij’s symmetry transformations [1] performs as a scaling t...