A simple Eulerian–Lagrangian weakly compressible smoothed particle hydrodynamics method for fluid flow and heat transfer. (14th November 2022)

• Record Type: Journal Article
• Authors: Yoo, Hee Sang; Jo, Young Beom; Kim, Jin Woo; Kim, Eung Soo; Choi, Tae Soo
• Is Part Of: International journal for numerical methods in engineering. Volume 124:Number 4(2023)
• Page Start: 928
• Page End: 958
• Publication Date: 2022-11-14
• Subjects: GPU -- mixed Eulerian–Lagrangian -- particle mass correction -- WCSPH; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.7148
• Languages: English
• ISSNs: 0029-5981

Abstract

Abstract: In this article, we propose a simple, consistent, and robust Eulerian–Lagrangian weakly compressible smoothed particle hydrodynamics (EL‐WCSPH) for the simulation of hydrodynamics and convection heat transfer problems. First, the basic governing equation is formulated using the ALE‐SPH framework. The universal formulation is similar to the standard WCSPH, but the degree of Eulerian and Lagrangian schemes can be controlled by inserting a pre‐defined arbitrary parameter α ∈ [ 0, 1 ] $$ \upalpha \in \left[0, 1\right] $$ . To alleviate potential numerical errors and inconsistency, particle mass correction is proposed along with particle disorder correction. Then, an algorithm is introduced, in which only a slight modification is necessary compared to the standard WCSPH. Finally, extensive benchmark simulations are conducted to validate the proposed method. As a result, the proposed method is found to perform well in hydrodynamics problems with various flow conditions (pipe flow, lid‐driven problem, Taylor–Green vortex, vortex shedding problem, and water sloshing) and thermal‐hydraulics problems (natural convection in a square cavity).