We explore an intersection-based remap method between meshes consisting of isoparametric elements.We present algorithms for the case of serendipity isoparametric elements(QUAD8 elements)and piece-wise constant(cell-centered)discrete fields.We demonstrate convergence properties of this remap method with a few numerical experiments.
Programmable photonic integrated circuits(PPICs)emerge as a novel technology with an enormous potential for ground-breaking innovation.Different architectures are currently being considered that dictate how waveguides should be connected to realize a broadly usable circuit.We focus on the effect of varying connectivity architectures on the routing of light.Three types of uniform meshes are studied,and we introduce a newly developed mesh that is called ring-connected straight lines.We provide an analytical formula to calculate exact distances in these meshes and introduce several metrics relating to routing to compare these meshes.We show that hexagonal tiles are the most promising,but the ring-connected straight lines architecture has a use case as well.Besides this,the effect of defect couplers is also studied.We find that the effects of these failures vary greatly by type and severity on the routability of the mesh.
In generator design field,waveform total harmonic distortion(THD)and telephone harmonic factor(THF)are parameters commonly used to measure the impact of generator no-load voltage harmonics on the power communication quality.Tubular hydrogenerators are considered the optimal generator for exploiting low-head,high-flow hydro resources,and they have seen increasingly widespread application in China's power systems recent years.However,owing to the compact and constrained internal space of such generators,their internal magnetic-field harmonics are pronounced.Therefore,accurate calculation of their THD and THF is crucial during the analysis and design stages to ensure the quality of power communication.Especially in the electromagnetic field finite element modeling analysis of such generators,the type and order of the finite element meshes may have a significant impact on the THD and THF calculation results,which warrants in-depth research.To address this,this study takes a real 34 MW large tubular hydrogenerator as an example,and establishes its electromagnetic field finite element model under no-load conditions.Two types of meshes,five mesh densities,and two mesh orders are analyzed to reveal the effect of electromagnetic field finite element mesh types and orders on the calculation results of THD and THF for such generators.
