TY  - EJOU
AU  - Xiong, Junsong 
AU  - Wang, Zhen 
AU  - Li, Shaofan 
AU  - Lai, Xin 
AU  - Liu, Lisheng 
AU  - Liu, Xiang 

TI  - Updated Lagrangian Particle Hydrodynamics (ULPH) Modeling of Natural Convection Problems
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2024
VL  - 141
IS  - 1
SN  - 1526-1506

AB  - Natural convection is a heat transfer mechanism driven by temperature or density differences, leading to fluid motion without external influence. It occurs in various natural and engineering phenomena, influencing heat transfer, climate, and fluid mixing in industrial processes. This work aims to use the Updated Lagrangian Particle Hydrodynamics (ULPH) theory to address natural convection problems. The Navier-Stokes equation is discretized using second-order nonlocal differential operators, allowing a direct solution of the Laplace operator for temperature in the energy equation. Various numerical simulations, including cases such as natural convection in square cavities and two concentric cylinders, were conducted to validate the reliability of the model. The results demonstrate that the proposed model exhibits excellent accuracy and performance, providing a promising and effective numerical approach for natural convection problems.
KW  - Updated Lagrangian particle hydrodynamics (ULPH); natural convection; meshless methods; higher order Laplacian model

DO  - 10.32604/cmes.2024.053078