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href="http://en.wikipedia.org/wiki/Navier-Stokes_equations" target="_blank" rel="noopener noreferrer">Navier-Stokes</a>方程的一个简单形式，但N-S方程有更严格的形式和推导过程，感兴趣的朋友可以从流体力学相关的书中找到，<a href="http://hi.baidu.com/flysea/blog/item/1742cbef924b3f30adafd55c.html" target="_blank" rel="noopener noreferrer">这里</a>有一篇比较比较浅显的文档可以参考，经过联系作者flysea，拿到这篇文档的<a href="/images/2014/08/N-S.pdf">原始文件</a>放在这里，再次感谢flysea的帮助。<br> 实际运算过程中，有时还要考虑表面张力的影响，所谓表面张力大家应该并不陌生，肥皂泡、毛细管等有趣的物理现象都跟表面张力有关，这个力可以简单理解为流体试图减小表面而产生的力。</p><figure><img src="'+e+'" alt="" tabindex="0" loading="lazy"><figcaption>表面张力是由于界面层流体分子受力不均衡产生的</figcaption></figure><p>由于表面张力只涉及到表层的粒子，所以计算方法和上面的有所不同，这部分会在以后的章节介绍。<br> 经过上面的分析，我们基本上搞清楚了SPH粒子的运动计算方法，下节我们将正式开始介绍SPH算法的关键部分，如何通过光滑核函数计算粒子运动规律。</p>',3)]))}const u=x(i,[["render",n],["__file","SPH002.html.vue"]]),d=JSON.parse('{"path":"/blog/2025/02/SPH002.html","title":"SPH算法简介（二）: 粒子受力分析","lang":"zh-CN","frontmatter":{"title":"SPH算法简介（二）: 粒子受力分析","tags":"数学 流体 程序 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