@Article{cmes.2024.053078,
AUTHOR = {Junsong Xiong, Zhen Wang, Shaofan Li, Xin Lai, Lisheng Liu, Xiang Liu},
TITLE = {Updated Lagrangian Particle Hydrodynamics (ULPH) Modeling of Natural Convection Problems},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {141},
YEAR = {2024},
NUMBER = {1},
PAGES = {151--169},
URL = {http://www.techscience.com/CMES/v141n1/57712},
ISSN = {1526-1506},
ABSTRACT = {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.},
DOI = {10.32604/cmes.2024.053078}
}