基于修正并行光滑粒子动力学方法三维变系数瞬态热传导问题的模拟

基于修正并行光滑粒子动力学方法三维变系数瞬态热传导

问题的模拟

蒋涛;陈振超;任金莲;李刚

【期刊名称】《物理学报》 【年(卷),期】2017(066)013

【摘要】In this work, an improved parallel SPH method is proposed to accurately solve the three-dimensional (3D) transient heat conduction equation with variable coefficients. The improvements are described as follows.

Firstly,

the

first-order

symmetric

smoothed

particle

hydrodynamics (SPH) method is extended to the simulating of the 3D problem based on Taylor expansion. Secondly, the concept of stabilized up-wind technique is introduced into the convection term. Thirdly, the MPI parallel technique based on the neighboring particle mark method is introduced into the above improved SPH method, and named the corrected parallel SPH method for 3D problems (CPSPH-3D). Subsequently, the accuracy, convergence and the computational efficiency of the proposed CPSPH-3D method are tested by simulating the 3D transient heat conduction problems with constant/variable coefficient, and compared with the analytical solution. Meanwhile, the capacity of the proposed CPSPH-3D for solving the 3D heat conduction problems with the Dirichlet and Newmann boundaries is illustrated, in which the change of temperature with time under the complex