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pfem [2018/11/06 16:50] giovanepfem [2020/01/21 17:46] (current) admin
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 <font 12pt/inherit;;inherit;;inherit>For the fluid mechanics problem it is well known that a Lagrangian description eliminates the convective terms from the Navier-Stokes equations and thus, no stabilization technique is required. However, the difficulty is then transferred to the need of efficient re-meshing, mesh quality and external boundary identification techniques, since the fluid presents no resistance to shear stresses and may deform indefinitely. In this sense, we employ a combination of finite element and particle methods in which the particle interaction forces are computed by mean of a finite element mesh which is re-constructed at every time step. Free surface flows are simulated by a boundary recognition technique enabling large domain distortions or even the particles separation from the main domain, representing for instance a water drop. A few examples solved in this work are shown below.</font> <font 12pt/inherit;;inherit;;inherit>For the fluid mechanics problem it is well known that a Lagrangian description eliminates the convective terms from the Navier-Stokes equations and thus, no stabilization technique is required. However, the difficulty is then transferred to the need of efficient re-meshing, mesh quality and external boundary identification techniques, since the fluid presents no resistance to shear stresses and may deform indefinitely. In this sense, we employ a combination of finite element and particle methods in which the particle interaction forces are computed by mean of a finite element mesh which is re-constructed at every time step. Free surface flows are simulated by a boundary recognition technique enabling large domain distortions or even the particles separation from the main domain, representing for instance a water drop. A few examples solved in this work are shown below.</font>
  
-{{  :pfem:barragem.png?nolink&512  }} Figure 3 - Dam collapse. Velocity field over time.</font>+{{  :pfem:barragem.png?nolink&512  }} Figure 3 - Dam collapse. Velocity field over time.
  
 {{ youtube>yh1YkCFj3EQ?large }}{{ youtube>GisXhld6OKY?large }} {{ youtube>yh1YkCFj3EQ?large }}{{ youtube>GisXhld6OKY?large }}
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 The full text in Portuguese can be downloaded at [[http://www.teses.usp.br/teses/disponiveis/18/18134/tde-23042018-103653/pt-br.php|http://www.teses.usp.br/teses/disponiveis/18/18134/tde-23042018-103653/pt-br.php]] The full text in Portuguese can be downloaded at [[http://www.teses.usp.br/teses/disponiveis/18/18134/tde-23042018-103653/pt-br.php|http://www.teses.usp.br/teses/disponiveis/18/18134/tde-23042018-103653/pt-br.php]]
  
 +Authors:
 +
 +Giovane Avancini
 +
 +Rodolfo A. K. Sanches
  
pfem.1541523013.txt.gz · Last modified: by giovane