@PhDThesis{Marques:2008:AbMeSi,
               author = "Marques, Gleber Nelson",
                title = "O m{\'e}todo Particle-In-Diffuse-Cell: uma abordagem meshfree 
                         para simula{\c{c}}{\~a}o de plasmas",
               school = "Instituto Nacional de Pesquisas Espaciais (INPE)",
                 year = "2008",
              address = "S{\~a}o Jos{\'e} dos Campos",
                month = "2008-02-29",
             keywords = "Particle in cell technique, element free Galerkin method, plasma 
                         dynamics, meshfree method, magnetohydrodynamic simulation.",
             abstract = "Esta tese descreve uma formula{\c{c}}{\~a}o meshfree 
                         in{\'e}dita para simula{\c{c}}{\~a}o de plasmas via modelo de 
                         part{\'{\i}}culas fundamentada no modelo Particle-In-Cell (PIC) 
                         e no m{\'e}todo Element-Free Galerkin (MEFG). A partir da 
                         revis{\~a}o do conceito de elemento difuso, precursor do MEFG, 
                         chegou-se {\`a} concep{\c{c}}{\~a}o da c{\'e}lula difusa, 
                         dando origem {\`a} formula{\c{c}}{\~a}o denominada 
                         Particle-In-Diffuse-Cell (PIDC). Modelos PIC eletrost{\'a}ticos e 
                         o MEFG s{\~a}o revisados para subsidiar a 
                         apresenta{\c{c}}{\~a}o da formula{\c{c}}{\~a}o do m{\'e}todo 
                         PIDC, bem como a paraleliza{\c{c}}{\~a}o de programas PIC e 
                         modelos colisionais. Al{\'e}m da caracter{\'{\i}}stica de 
                         f{\'a}cil adaptatividade dos m{\'e}todos meshfree, a robustez no 
                         c{\'a}lculo do campo el{\'e}trico tamb{\'e}m {\'e} um 
                         requisisto bastante desej{\'a}vel em modelos PIC. A abordagem 
                         interpolante do MEFG combinada com a t{\'e}cnica de truncamento 
                         de dom{\'{\i}}nios, empregada no modelo computacional do PIDC, 
                         foi rigorosamente avaliada quanto a acur{\'a}cia no c{\'a}lculo 
                         de campos el{\'e}tricos cont{\'{\i}}nuos e 
                         descont{\'{\i}}nuos. O grande potencial de aplica{\c{c}}{\~a}o 
                         do PIDC inclui simula{\c{c}}{\~o}es de plasmas envolvendo 
                         geometrias complexas bi ou tridimensionais e / ou a necessidade de 
                         sucessivos refinamentos de malha, constituindo-se assim, nestes 
                         cen{\'a}rios, uma nova e promissora alternativa num{\'e}rica aos 
                         m{\'e}todos PIC baseados em malha. ABSTRACT: This thesis 
                         describes an original meshfree formulation for plasmas simulation 
                         based on the Particle-In-Cell (PIC) particle model and the 
                         Element-Free Galerkin method (EFGM). Recalling the diffuse element 
                         concept introduced before the EFGM proposition, we realize the 
                         diffuse cell concept, which allowed the development of the 
                         Particle-In-Diffuse-Cell (PIDC) formulation. Electrostatic PIC 
                         models and the EFGM were revised, as well as the parallelization 
                         of PIC codes and collisional models. Despite the ability of easy 
                         adaptivity of the meshfree methods, also its robustness for 
                         computing the electric field is a very desired feature for PIC 
                         models. An interpolating EFGM with the domain truncation technique 
                         was rigorously evaluated for the computation of continuous and 
                         discontinuous electric fields. PIDC potential applications include 
                         complex bi or tri-dimensional geometries, and / or the requirement 
                         of frequent mesh refinement, in these scenarios, the PIDC 
                         formulation can be seen as a promising new numerical alternative 
                         instead of PIC mesh-based methods.",
            committee = "Becceneri, Jos{\'e} Carlos (presidente) and P{\'a}ssaro, Angelo 
                         (orientador) and Stephany, Stephan (co-orientador) and Ramos, 
                         Fernando Manuel and Campos Velho, Haroldo Fraga de and Scheid, 
                         Vladimir Henrique Baggio",
           copyholder = "SID/SCD",
         englishtitle = "The Particle-In-Diffuse-Cell method: a meshfree approach for 
                         plasmas simulation",
             language = "pt",
                pages = "175",
                  ibi = "6qtX3pFwXQZGivnK2Y/TcJzC",
                  url = "http://urlib.net/ibi/6qtX3pFwXQZGivnK2Y/TcJzC",
           targetfile = "publicacao.pdf",
        urlaccessdate = "07 maio 2024"
}