A Novel Density Correction Method for Improved Prediction of Pressure Fields in <scp>SPH</scp>

ABSTRACT Smoothed particle hydrodynamics (SPH) has been extensively studied for several decades, yet accurate calculation of pressure fields remains a significant challenge, hindering its widespread application in practical engineering. This paper focuses on developing a novel density correction method to enhance the accuracy of hydrostatic pressure distribution in SPH, both near solid boundaries and within the fluid domain. The method incorporates two innovative concepts: an interpolation grid and supplementary particles, both aimed at refining density distributions. The proposed method is straightforward to implement, making it accessible for a wide range of applications. It proves highly effective in calculating improved hydrostatic pressure fields in high‐pressure regions close to solid boundaries. Moreover, the proposed method effectively suppresses unphysical oscillations and peaks in the hydrodynamic pressure fields while alleviating unintended numerical dissipation that often occurs in long‐term simulations. Additionally, the method offers greater flexibility in determining the correction interval and demonstrates excellent compatibility with various solid boundary treatments. The performance of the proposed method is validated through several numerical tests, and comparisons with other related numerical schemes are presented.