HashGrid in cylindrical coordinate system: While a normal grid covering the bounds of a cylindrical domain can be used, implementing periodic boundary conditions in the circular direction poses ...

This so-called pseudo-cylindrical system should include the approximate radial and angular position relative to a central reference point. Radial profiles could then be obtained from CT data for ...

It is quite tedious but it helps in the understanding of differential calculus and derivation of conservation equations in cylindrical coordinates. As a corollary, the equations for axisymmetric and ...

A three-component phononic crystal metamaterial cylindrical shell that opens local resonant bandgaps at low frequencies is formed by periodically inserting a lead column coated with soft rubber into ...

2 Cylindrical meta-shell with piezoelectric materials and digital circuits In this section, the model of the studied cylindrical meta-shell with piezoelectric materials and digital circuits is ...

Biophysical differential adhesion principles drive non-canonical, zippering mechanisms in vivo, regulating precise neurite placement, and synaptic specificity within Caenorhabditis elegans brain ...

When used correctly, equations that would have been complex if expressed in Cartesian coordinates can be made much simpler using polar or cylindrical coordinates. Final thoughts The Cartesian ...