Conformal and multi-scale time-domain methods: From tetrahedral mesh to meshless discretisation

Christophe Fumeaux, Thomas Kaufmann, Dirk Baumann, Maciej Klemm

Research output: Contribution to conferenceConference Paperpeer-review

1 Citation (Scopus)

Abstract

Numerical methods applied in Cartesian grids have become workhorses for general purpose time-domain electromagnetic simulations because of their simplicity, efficiency and scalability. Implementations often consider specific treatments for curved and slanted boundaries, as well as sub-cell models and sub-gridding schemes. As alternative, methods based on unstructured discretisation, such as a tetrahedral mesh, have never truly become mainstream techniques despite their remarkable capabilities for accurate multi-scale and conformal modelling. This paper firstly reviews the development of a particular conformal time-domain method applied in tetrahedral meshes, namely the Finite-Volume Time-Domain method, and illustrates its potential for multi-scale problems in a selected example. The second part of the paper points out a novel class of methods which are amenable to conformal time-domain implementation on clouds of points. These so-called “meshless methods” do not require an explicit mesh definition, and open new perspectives towards future applications involving multi-scale multi-physics problems.
Original languageEnglish
Pages161 - 164
DOIs
Publication statusPublished - May 2012
EventElectromagnetic Compatibility (APEMC), 2012 Asia-Pacific Symposium on - Singapore, Singapore
Duration: 21 May 201224 May 2012

Conference

ConferenceElectromagnetic Compatibility (APEMC), 2012 Asia-Pacific Symposium on
Country/TerritorySingapore
CitySingapore
Period21/05/1224/05/12

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