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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >Fourier pseudospectral method for nonperiodical problems: A general immersed boundary method for three types of thermal boundary conditions
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Fourier pseudospectral method for nonperiodical problems: A general immersed boundary method for three types of thermal boundary conditions

机译：傅立叶假谱法的非终体问题：三种热边缘条件的一般浸没边界法

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摘要

In the present paper a general scheme for the three types of thermal boundary conditions is proposed and applied to natural convection and diffusion problems. The numerical algorithm, denominated thermal IM-ERSPEC, consists of the application of the Fourier pseudospectral method, where Dirichlet, Neumann, or Robin boundary conditions are modeled through immersed boundary method (IBM). The methodology is to impose the boundary conditions on the interface and transmit through distribution functions. Source terms are added to the two-dimensional Navier-Stokes and energy equations on the Cartesian mesh. Manufactured solutions are used for the numerical verification of Dirichlet, Neumann, and Robin boundary conditions, imposed through IBM. The proposed method is applied for solving problems involving thermal energy transfer for natural convection in an annulus between horizontal concentric cylinders. Results for these applications using the thermal IMERSPEC and the traditional finite volume method are compared and a good agreement is obtained for both methodologies.
机译：在本文中，提出了一种用于三种热边界条件的一般方案，并应用于自然对流和扩散问题。数值算法，计值的热IM-erspec包括傅立叶伪谱法的应用，其中Dirichlet，Neumann或Robin边界条件通过浸没边界法（IBM）建模。该方法是在接口上强加边界条件并通过分发功能传输。源术语被添加到笛卡尔网格上的二维Navier-Stokes和能量方程。制造的解决方案用于通过IBM施加的Dirichlet，Neumann和Robin边界条件的数值验证。所提出的方法用于解决涉及在水平同心圆柱体之间的环形空间中的自然对流热能转移的问题。使用热IMERSPEC和传统的有限体积方法进行这些应用的结果，并且对于两种方法获得了良好的协议。

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