In this paper a compact finite-difference solver for solving the Maxwell’s equations in curvilinear coordinates is presented. The scheme formulated in time domain can theoretically preserve zero-divergence condition and scaled wavenumber characteristics in nonstaggered grids. The inherent local conservation laws are also retained discretely all the time. The space and time derivative terms are ...

This paper describes the elements for writing hybrid and electromagnetic plasma simulation codes in generalized curvilinear coordinates. The coordinate system is described by a table giving the three-dimensional Cartesian coordinate positions of a structured curvilinear coordinate mesh. The paper shows how to calculate the geometric coefficients of the differential operators describing the elec...

The Fourier pseudospectral time-domain method is an efficient wave-based method to model sound propagation in inhomogeneous media. One of the limitations of the method for atmospheric sound propagation purposes is its restriction to a Cartesian grid, confining it to staircase-like geometries. A transform from the physical coordinate system to the curvilinear coordinate system has been applied t...

In this paper a finite-difference-based lattice Boltzmann method for curvilinear coordinates is proposed in order to improve the computational efficiency and numerical stability of a recent method [R. Mei and W. Shyy, J. Comput. Phys. 143, 426 (1998)] in which the collision term of the Boltzmann Bhatnagar-Gross-Krook equation for discrete velocities is treated implicitly. In the present method,...

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...

The inverse transformation of coordinates, from Cartesian to curvilinear geodetic, or symbolically (x,y,z)-(l,j,h) has been extensively researched in the geodetic literature. However, published formulations require that the application must be deterministically implemented point-by-point individually. Recently, and thanks to GPS technology, scientists have made available thousands of determinat...