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| 自然对流传热问题的改进光滑粒子流体动力学模拟 |
| Improved smoothed particle hydrodynamics simulation of natural convection heat transfer problem |
| 投稿时间：2023-11-08 修订日期：2023-12-08 |
| DOI： |
| 中文关键词: 光滑粒子流体动力学 自然对流 传热 封闭方腔 数值模拟 |
| 英文关键词:Smoothed particle hydrodynamics Natural convection Heat transfer Closed square cavity Numerical simulation |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| 中文摘要: |
| 基于一种改进的光滑粒子流体动力学(Smoothed Particle Hydrodynamics, SPH)方法对封闭方腔自然对流传热问题进行了数值模拟。为了抑制压力场中由于弱可压缩假设而引起的非物理震荡，在连续性方程中引入了密度耗散项；为了克服粒子分布不均匀引起的拉伸不稳定性，联合了粒子迁移技术；为了提高梯度算子的精度和数值稳定性，施加了核梯度修正算法。首先，运用改进SPH方法对瑞利数Ra=104的封闭方腔自然对流传热问题进行模拟，通过与有限体积方法得到结果的比较验证了方法的有效性。随后，扩展到Ra=105和106进行模拟，讨论了不同瑞利数下速度场和温度场的分布规律，分析了不同物理参数对自然对流传热的影响。数值结果表明，本文改进SPH方法可准确有效地模拟自然对流传热问题。 |
| 英文摘要: |
| Based on an improved Smoothed Particle Hydrodynamics (SPH) method, a numerical simulation of natural convection heat transfer in a closed square cavity was carried out. In order to suppress the non-physical oscillation caused by the weakly compressible hypothesis in the pressure field, the density dissipation term is introduced into the continuity equation. In order to overcome the tensile instability caused by the uneven distribution of particles, the particle shifting technique is combined. In order to improve the accuracy and numerical stability of the gradient operator, a kernel function gradient correction algorithm is applied. Firstly, the improved SPH method is used to simulate the natural convection heat transfer in a closed square cavity with Rayleigh number Ra=104 and the effectiveness of the method is verified by comparing the results with those obtained by the finite volume method. Then, the simulation is extended to Ra=105 and 106, and the distribution of velocity field and temperature field under different Rayleigh numbers are discussed, and the influence of different physical parameters on natural convection heat transfer is analyzed. The numerical results show that the improved SPH method can simulate the natural convection heat transfer problem accurately and effectively. |
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