ON THE BOUNDARY CONDITIONS FOR HEAT TRANSFER USING IMMERSED BOUNDARY METHODS

机译：采用浸没边界法的热传递边界条件

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We describe the implementation of a general interpolation technique which allows the accurate imposition of the Dirichlet, Neumann and mixed boundary conditions on complex geometries when using the immersed boundary technique on Cartesian grids. The scheme is general in that it does not involve any special treatment to handle either one of the three types of boundary conditions. The accuracy of the interpolation algorithm on the boundary is assessed using three heat transfer problems: (1) forced convection over a cylinder placed in an unbounded flow, (2) natural convection on a cylinder placed inside a cavity, and (3) heat diffusion inside an annulus. The results show that the accuracy of the scheme is second order and are in agreement with analytical and/or numerical data.

机译：我们描述了一般插值技术的实现，该技术允许在笛卡尔网格上使用浸没的边界技术时，在复杂的几何形状上准确地施加Dirichlet，Neumann和混合边界条件。该方案是一般的，因为它不涉及任何特殊处理来处理三种类型的边界条件中的一个。使用三次传热问题评估边界内插值算法的准确性：（1）在放置在无限流动的圆柱体上强制对流，（2）放置在腔内的圆柱体上的自然对流，（3）热扩散在一个环内。结果表明，该方案的准确性是二阶，并与分析和/或数值数据一致。

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《ASME International Mechanical Engineering Congress and Exposition》|2007年||共9页
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J. Rafael Pacheco; Tamara Rodic; Arturo Pacheco-Vega; American Society of Mechanical Engineers(ASME); HTD-vol.377-3;
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中图分类热力工程理论;
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a, b, c: constants in general boundary condition; h, H: nondimensional energy forcing; L_c: characteristic length m; L_2: euclidean norm; t_c: characteristic time s; x_i, y_j: coordinates based on node (i, j); X, Y: coordinates of immersed-boundary n;

机译：a;b;c：一般边界条件的常数;h;h：nondimensional能量强制;l_c：特征长度m;l_2：euclidean规范;t_c：特征时间s;x_i;y_j：基于节点的坐标（ i;j）;x;y：浸没边界n的坐标n;

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1. A General Boundary Condition Treatment in Immersed Boundary Methods for Incompressible Navier-Stokes Equations with Heat Transfer [J] . Dartzi Pana* Numerical Heat Transfer, Part B: Fundamentals . 2012,第4期

机译：具有传热的不可压缩Navier-Stokes方程浸入边界方法的一般边界条件处理
2. A general boundary condition treatment in immersed boundary methods for incompressible Navier-Stokes equations with heat transfer [J] . Pan D. Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2012,第1a6期

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4. ON THE BOUNDARY CONDITIONS FOR HEAT TRANSFER USING IMMERSED BOUNDARY METHODS [C] . J. Rafael Pacheco, Tamara Rodic, Arturo Pacheco-Vega, ASME International Mechanical Engineering Congress and Exposition . 2007

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5. Exact implementation of boundary conditions for Immersed Boundary Methods [D] . Bansal, Karan 2015

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6. A VERSATILE SHARP INTERFACE IMMERSED BOUNDARY METHOD FOR INCOMPRESSIBLE FLOWS WITH COMPLEX BOUNDARIES [O] . R. Mittal, H. Dong, M. Bozkurttas, -1

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7. A general scheme for the boundary conditions in convective and diffusive heat transfer with immersed boundary methods [O] . Arturo Pacheco-vega, Ciep-facultad De Ciencias Químicas, San Luis Potosí, 2007

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8. Application of the Finite-Element Method to Heat-Transfer Problems. Part II. Transient Two-Dimensional Heat Transfer with Convection and Radiation Boundary Conditions [R] . Yalamanchili, R. V. S., Chu, S. C. 1971

机译：有限元法在传热问题中的应用。第二部分。对流和辐射边界条件下的瞬态二维传热

ON THE BOUNDARY CONDITIONS FOR HEAT TRANSFER USING IMMERSED BOUNDARY METHODS

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