An efficient multi-grid finite element fictitious boundary method for particulate flows with thermal convection
An efficient multi-grid finite element fictitious boundary method for particulate flows with thermal convection
复制标题
DOI：
10.1016/j.ijheatmasstransfer.2018.05.007
复制
发表时间：
2018-11
影响因子：
5.2
通讯作者：
K. Walayat;Zekun Wang;K. Usman;Moubin Liu
中科院分区：
文献类型：
--
作者：
K. Walayat;Zekun Wang;K. Usman;Moubin Liu
本文提出了一种直接数值模拟技术--有限元虚拟边界法，用于模拟有传热的流固两相流动。引入传热学方程研究流固两相流中的热对流。对于动量场和温度场的耦合，考虑了Boussinesq近似。采用多重网格有限元求解器，在与时间无关的固定欧拉网格上计算质量、动量和能量的流动方程，允许固体颗粒在整个计算区域内自由运动。虚拟边界法(FBM)用于处理流体中的颗粒，虚拟边界法考虑了流体与颗粒之间的热相互作用和动量相互作用。通过与已有文献报道的结果进行比较，验证了该方法的准确性和稳定性。数值试验表明，该方法具有较强的计算能力，为模拟含大量颗粒的复杂热对流颗粒流提供了一种有效的途径。
This paper presents a direct numerical simulation (DNS) technique, the Finite Element Fictitious Boundary Method (FEM-FBM) for the simulation of fluid-solid two-phase flows with heat transfer. The heat transfer equation is introduced to study thermal convection in fluid-solid two-phase flows. The Boussinesq approximation is considered for the coupling of momentum and temperature flow fields. Multi-grid finite element solver is used to compute flow equations of mass, momentum, and energy on a fixed Eulerian mesh which is independent of time and the solid particles are allowed to move freely in the whole computational domain. Fictitious boundary method (FBM) is used to treat the particles inside the fluid, FBM takes account of the thermal and momentum interaction between the fluid and the particles. The accuracy and stability of presented method are validated by comparing our test cases results with the results reported in the available literature. Numerical tests are performed to show that this method is potentially powerful and provides an efficient approach to simulate complex thermal convective particulate flows with a large number of particles.