Open Access

ARTICLE

Updated Lagrangian Particle Hydrodynamics (ULPH) Modeling of Natural Convection Problems

Junsong Xiong¹, Zhen Wang², Shaofan Li³, Xin Lai^1,*, Lisheng Liu^2,*, Xiang Liu²

1 Hubei Key Laboratory of Theory and Application of Advanced Materials Mechanics, Wuhan University of Technology, Wuhan, 430070, China
2 Department of Engineering Structure and Mechanics, Wuhan University of Technology, Wuhan, 430070, China
3 Department of Civil and Environmental Engineering, The University of California, Berkeley, CA 94720, USA

* Corresponding Authors: Xin Lai. Email: ; Lisheng Liu. Email:

Computer Modeling in Engineering & Sciences 2024, 141(1), 151-169. https://doi.org/10.32604/cmes.2024.053078

Received 23 April 2024; Accepted 08 July 2024; Issue published 20 August 2024

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.

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Keywords

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