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Numerical models for heat conduction and natural convection with symmetry boundary condition based on particle method

机译:基于粒子法的具有对称边界条件的导热与自然对流数值模型

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摘要

Numerical models of heat conduction and natural convection are developed based on Meshless Moving particle semi-implicit (MPS) method to study the unsteady complex flow coupling with heat transfer. Fundamental heat exchange process is systematically investigated in one dimension and extended to two dimensions without internal heat source. The energy conservation equation is discretized on particles and coupled with flow by momentum change that caused by temperature difference. Both Dirichlet and Neumann boundary conditions are proposed with mirror image technique and the numerical results are verified to have high accuracy against benchmark solutions (theoretical or experimental, and or other numerical solutions) for several representative examples. To improve the calculation efficiency, symmetry boundary models are established and applied in transient heat conduction and natural convection heat transfer. The results using the symmetry boundary are comparable and reliable to the full-domain results, both of which agree well with the experimental and other numerical solutions.
机译:基于无网格运动粒子半隐式(MPS)方法,建立了热传导和自然对流的数值模型,研究了非稳态复杂流动与传热的耦合。在没有内部热源的情况下,系统地研究了基本的热交换过程,并将其扩展到二维。能量守恒方程在粒子上离散,并通过由温差引起的动量变化与流动耦合。用镜像技术提出了Dirichlet和Neumann边界条件,并针对几个代表性示例验证了数值结果对基准解决方案(理论或实验以及其他数值解决方案)的准确性。为了提高计算效率,建立了对称边界模型并将其应用于瞬态热传导和自然对流换热。使用对称边界的结果与全域结果是可比的和可靠的,两者都与实验和其他数值解很好吻合。

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