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pfem [2018/11/06 16:50] – giovane | pfem [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> |
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{{ :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. |
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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]] |
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| Authors: |
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| Giovane Avancini |
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| Rodolfo A. K. Sanches |
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