@Article{GomesDomiMendSchn:2018:VeAdTh,
               author = "Gomes, Anna Karina Fontes and Domingues, Margarete Oliveira and 
                         Mendes J{\'u}nior, Odim and Schneider, Kai",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)} and {Instituto Nacional de 
                         Pesquisas Espaciais (INPE)} and {Aix-Marseille Universit{\'e} 
                         (CNRS)}",
                title = "On the verification of adaptive three-dimensional multiresolution 
                         computations of the magnetohydrodynamic equations",
              journal = "Journal of Applied Nonlinear Dynamics",
                 year = "2018",
               volume = "7",
                pages = "231--242",
             abstract = "Magnetohydrodynamics is an important tool to study the dynamics of 
                         plasma Space Physics. In this context, we introduce a 
                         three-dimensional magnetohydrodynamic solver with 
                         divergence-cleaning in the adaptive multiresolution CARMEN code. 
                         The numerical scheme is based on a finite volume discretization 
                         that ensures the conservation of physical quantities. The adaptive 
                         multiresolution approach allows for automatic identification of 
                         local structures in the numerical solution and thus provides an 
                         adaptive mesh refined only in regions where the solution needs 
                         more improved resolution. We assess the threedimensional 
                         magnetohydrodynamic CARMEN code and compare its results with the 
                         ones from the well-known FLASH code.",
                 issn = "2164-6457",
             language = "en",
           targetfile = "gomes_verification.pdf",
        urlaccessdate = "14 maio 2024"
}