Stable finite elements analysis of viscous dusty plasma

• Autor(a) principal: AREIAS, P.
• Data de Publicação: 2018
• Outros Autores: SIKTA, J.N., DOS SANTOS, M.P.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10174/24496
• topic: VISCOUS DUSTY PLASMA; PETROV-GALERKIN APPROACH; ACOUSTIC WAVES; FINITE ELEMENTS

In the context of analysis of dust acoustic (solitary) waves including viscosity, we introduce a finite elements formulation of the corresponding fluid dust-acoustic wave equations. With this objective, a Petrov-Galerkin weak form with unwinding is adopted. We consider a dusty unmagnetised plasma system consisting of negatively charged dust and Boltzmann electrons and ions. Nonlinearity of ion and electron number density in terms of a electrostatic potential is included. A fully-implicit time-integration is used (backward-Euler method) which requires the first derivative of the weak form. A three-field formulation is proposed, with the dust number-density, the electrostatic potential and the dust velocity being the unknown fields. Two numerical examples are introduced and results show great promise for the proposed formulation as a predictive tool in viscous dusty plasmas.