Neumann and Robin boundary conditions for heat conduction modeling using smoothed particle hydrodynamics

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• 作者：M.A. Esmaili Sikarudi ^{m.esmaili@sutech.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; A.H. Nikseresht ; ^{nikser@sutech.ac.ir" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Smoothed particle hydrodynamics ; Robin boundary condition ; Neumann boundary condition
• 刊名：Computer Physics Communications
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：198
• 期：Complete
• 页码：1-11
• 全文大小：1444 K

文摘

Smoothed particle hydrodynamics is a robust Lagrangian particle method which is widely used in various applications, from astrophysics to hydrodynamics and heat conduction. It has intrinsic capabilities for simulating large deformation, composites, multiphysics events, and multiphase fluid flows. It is vital to use reliable boundary conditions when boundary value problems like heat conduction or Poisson equation for incompressible flows are solved. Since smoothed particle hydrodynamics is not a boundary fitted grids method, implementation of boundary conditions can be problematic. Many methods have been proposed for enhancing the accuracy of implementation of boundary conditions. In the present study a new approach for facilitating the implementation of Robin and Neumann boundary conditions is proposed and proven to give accurate results. Also there is no need to use complicated preprocessing as in virtual particle method. The new method is compared to an equivalent one dimensional moving least square scheme and it is shown that the present method is less sensitive to particle disorder.