A Non-Disjoint Hexahedral Space Discretization for the Finite-Volume Technique

In this work, a novel discretization scheme for the finite-volume technique is presented. While this method is traditionally implemented on tetrahedral or triangular meshes, the presented approach utilizes hexahedral finite volumes. The hexahedrons are composed of two tetrahedrons, which eliminates the necessity of novel meshing techniques. A remarkable property of those hexahedral cells is that they violate the disjointness that is common to most traditional space discretization schemes. The method is tested in frequency-domain using an H-plane step discontinuity in a rectangular waveguide as an example. An excellent accuracy is observed over a wide frequency range, however the appearance of spurious resonances yet needs to be explained as well as eliminated.