The non-conservation of total fluid volume, caused by the accumulating errors on the potential energy of the fluid, has been a serious numerical issue in a Weakly-Compressible SPH (WCSPH) simulation when transitional Particle Shifting Techniques (PSTs) are employed to prevent disordered particle distribution and the tensile instability from negative pressures. This paper is dedicated to, within the framework of WCSPH, developing an enhanced version that remedies the aforementioned deficiency of the traditional PSTs, and meanwhile improves the quality of the particle distribution in the vicinity of a free-surface region. To this end, a Corrective Cohesion Force (CCF) between a target particle and its interacting particles is introduced to provide adaptive compensation corresponding to the particle repositioning. Four classical benchmarks are implemented to validate the effectiveness and stability of the present PST. It is demonstrated that the new PST incorporating with the CCF shows satisfactory performance to improve the conservation of total fluid volume, and to obtain more uniform particle distribution in the proximity of the free-surface. In addition, the newly-developed PST also maintains the accuracy and stability inherited from the traditional versions, suggesting that it can be treated as an ideal alternative with regard to the traditional PSTs in a WCSPH simulation, especially for a long-term-duration case with violent free-surface evolutions.

在弱可压缩 SPH (WCSPH) 模拟中，当采用过渡粒子移动技术(PST) 来防止流体势能累积误差导致总流体体积不守恒时，已成为严重的数值问题。无序的颗粒分布和负压引起的拉伸不稳定性。本文致力于在 WCSPH 的框架内开发一个增强版本，以弥补传统 PST 的上述不足，同时提高自由表面区域附近的粒子分布质量。为此，矫正凝聚力引入目标粒子与其相互作用粒子之间的 (CCF) 以提供对应于粒子重新定位的自适应补偿。实施了四个经典基准来验证当前 PST 的有效性和稳定性。结果表明，与 CCF 结合的新 PST 显示出令人满意的性能，以改善总流体体积的守恒，并在自由表面附近获得更均匀的颗粒分布。此外，新开发的PST还保持了传统版本继承的准确性和稳定性，表明它可以作为WCSPH模拟中传统PST的理想替代品，特别是对于长时间的情况伴随着剧烈的自由表面演化。