对流传热问题的粒子-网格混合方法数值模拟

Numerical Simulation of Convective Heat Transfer Using Particle-grid Hybrid Method

移动粒子半隐式(MPS)方法是一种完全基于拉格朗日体系的粒子法,应用于不可压缩流体。MPS方法在描述存在大变形和相变的问题时具有很大的优势。然而当MPS方法中的Laplace模型应用于求解能量方程时会存在求解不精确的情况。本文在MPS方法的基础上,提出了一种粒子-网格混合求解方法。通过MPS方法求解动量守恒方程,耦合有限体积法(FVM)求解能量守恒方程,以达到对对流传热问题的精确求解。对一维导热问题进行了方法验证,证明了粒子-网格混合方法求解导热的有效性,并有较高的求解精度。利用粒子-网格混合方法模拟了方腔内的自然对流,结果表明,基于MPS方法和FVM的耦合方法可用于求解对流传热问题。

The moving particle semi-implicit (MPS) method,which is a particle method without grid meshes,is a full Lagrangian method for incompressible flows.It has advantages in describing fluid interface with large deformation and phase transition problems.However,when the Laplace model of MPS method is applied to solve the energy equation,there will be an inaccurate solution.In this paper,a particle-grid hybrid method was proposed based on MPS method.The momentum conservation equation was solved by MPS method and the energy conservation equation was solved by finite volume method (FVM) in the calculation so that the convective heat transfer problems could be solved by the particle-grid hybrid method.It is proved that the particle-grid hybrid method is effective and has high precision to solve the one-dimensional heat conduction problem.The particle-grid hybrid method was used to simulate the natural convection in the cavity.The results show that the coupling method based on MPS method and FVM can be used to solve the convective heat transfer problem.