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Discretization of Maxwell-Vlasov Equations based on Discrete Exterior Calculus

Autor(es):
Na, Dong-Yeop ; Omelchenko, Yuri A. ; Borges, Ben-Hur V. ; Teixeira, Fernando L. ; IEEE
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: 2017 XXXIIND GENERAL ASSEMBLY AND SCIENTIFIC SYMPOSIUM OF THE INTERNATIONAL UNION OF RADIO SCIENCE (URSI GASS); v. N/A, p. 4-pg., 2017-01-01.
Resumo

We discuss the discretization of Maxwell-Vlasov equations based on a discrete exterior calculus framework, which provides a natural factorization of the discrete field equations into topological (metric-free) and metric-dependent parts. This enables a gain in geometrical flexibility when dealing with general grids and also the ab initio, exact preservation of conservation laws through discrete analogues. In particular, we describe a particle-in-cell (PIC) implementation of time-dependent discrete Maxwell-Vlasov equations, whereby the electromagnetic field are discretized using Whitney forms and coupled to particle dynamics by means of a gather-scatter scheme that yields exact charge-conservation on general grids. Numerical examples of PIC simulations such as vacuum diode and backward-wave oscillator are used to illustrate the approach. (AU)

Processo FAPESP: 15/50268-5 - Novel metamaterials for rf/microwave and optical applications
Beneficiário:Ben-Hur Viana Borges
Modalidade de apoio: Auxílio à Pesquisa - Regular