International Journal of Numerical Methods for Heat & Fluid Flow ( IF 4.2 ) Pub Date : 2022-02-15 , DOI: 10.1108/hff-12-2021-0797 Guilin Wang 1 , Fan Sun 1 , Runqiu Wang 1 , Liang Zhang 2 , Tianci Cao 1 , Boyi Li 3
Purpose
The material point method (MPM)is a particle-based numerical method suitable for solid–liquid simulation and large deformation problems. However, MPM is generally used in solid deformation at present, to develop a multi-physics coupling MPM; the purpose of this study is to extend the MPM to simulate the heat and fluid flow and address the thermal-hydrological (TH) coupling problems.
Design/methodology/approach
The porous medium was discretized into two sets of Lagrangian points, and the motion of fluid points follows the Darcy’s law. Two sets of heat transport equations were established for the heat conduction and heat exchange in the pore fluid and solid skeleton. Fractures were considered by adding the porosity gradient term in the governing equations; also a transition function was introduced to smoothen the fracture boundary.
Findings
Four cases of heat and fluid flow in porous medium and fractures were presented to verify the feasibility of the proposed method. And the effects of fractures on heat and fluid flow were investigated. Additionally, a case of geothermal extraction was solved and the importance of the interstitial convective heat transfer coefficient was analyzed.
Originality/value
The proposed method extends the conventional MPM, using two sets of material points and two sets of heat transport equations to simulate the heat and fluid flow and address the TH coupling problems, which can be applied in both porous medium and fractures.
中文翻译:
材料点法模拟多孔介质和裂缝中的热量和流体流动
目的
质点法(MPM)是一种基于粒子的数值方法,适用于固-液模拟和大变形问题。但目前MPM普遍用于固体变形,发展多物理场耦合MPM;本研究的目的是扩展 MPM 以模拟热量和流体流动并解决热水文 (TH) 耦合问题。
设计/方法/方法
将多孔介质离散为两组拉格朗日点,流体点的运动遵循达西定律。建立了两组孔隙流体和固体骨架中的热传导和热交换的传热方程。通过在控制方程中添加孔隙度梯度项来考虑裂缝;还引入了一个过渡函数来平滑裂缝边界。
发现
给出了四个多孔介质和裂缝中的热和流体流动案例,以验证所提方法的可行性。并研究了裂缝对热量和流体流动的影响。此外,解决了一个地热提取的案例,分析了间隙对流传热系数的重要性。
原创性/价值
该方法扩展了传统的 MPM,使用两组材料点和两组传热方程来模拟热量和流体流动并解决 TH 耦合问题,可应用于多孔介质和裂缝。