thejinchao.github.io/assets/SPH003.html-nWokyvEt.js

import{_ as x,c as j,a as c,b as m,d as l,o as a}from"./app-xc5fWoqI.js";const t="/images/2014/08/sph_21.gif",e="/images/2014/08/sph_22.gif",i="/images/2014/08/sph_26.gif",n={};function u(r,s){return a(),j("div",null,s[0]||(s[0]=[c('<p>和其他流体力学中的数学方法类似，SPH算法同样涉及到“光滑核”的概念，可以这样理解这个概念，粒子的属性都会“扩散”到周围，并且随着距离的增加影响逐渐变小，这种随着距离而衰减的函数被称为“光滑核”函数，最大影响半径为“光滑核半径”。</p><div align="center"><table class="invisibletable"><tbody><tr><td><figure><img src="'+t+'" alt="" tabindex="0" loading="lazy"><figcaption></figcaption></figure></td><td><figure><img src="'+e+'" alt="" tabindex="0" loading="lazy"><figcaption>光滑核函数一般具有的形态</figcaption></figure></td></tr></tbody></table></div><p>反过来不难理解，尽管我们将流体视为一个个分散的粒子，但流体毕竟是连续充满整个空间的，流体中每个位置参与运算的值都是由周围一组粒子累加起来的。</p><figure><img src="'+i+'" alt="" tabindex="0" loading="lazy"><figcaption></figcaption></figure>',4),m("p",null,[l("设想流体中某点"),m("mjx-container",{class:"MathJax",jax:"CHTML",style:{position:"relative"}},[m("mjx-math",{class:"MJX-TEX","aria-hidden":"true"},[m("mjx-TeXAtom",{texclass:"ORD"},[m("mjx-mover",null,[m("mjx-over",{style:{"padding-bottom":"0.105em","padding-left":"0.281em","margin-bottom":"-0.516em"}},[m("mjx-mo",{class:"mjx-n",style:{width:"0","margin-left":"-0.25em"}},[m("mjx-c",{class:"mjx-c20D7 TEX-V"})])]),m("mjx-base",null,[m("mjx-mi",{class:"mjx-i"},[m("mjx-c",{class:"mjx-c1D45F 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光滑核函数两个重要属性，首先一定是偶函数，也就是"),m("mjx-container",{class:"MathJax",jax:"CHTML",style:{position:"relative"}},[m("mjx-math",{class:"MJX-TEX","aria-hidden":"true"},[m("mjx-mi",{class:"mjx-i"},[m("mjx-c",{class:"mjx-c1D44A TEX-I"})]),m("mjx-mo",{class:"mjx-n"},[m("mjx-c",{class:"mjx-c28"})]),m("mjx-mo",{class:"mjx-n"},[m("mjx-c",{class:"mjx-c2212"})]),m("mjx-mi",{class:"mjx-i"},[m("mjx-c",{class:"mjx-c1D45F TEX-I"})]),m("mjx-mo",{class:"mjx-n"},[m("mjx-c",{class:"mjx-c29"})]),m("mjx-mo",{class:"mjx-n",space:"4"},[m("mjx-c",{class:"mjx-c3D"})]),m("mjx-mi",{class:"mjx-i",space:"4"},[m("mjx-c",{class:"mjx-c1D44A TEX-I"})]),m("mjx-mo",{class:"mjx-n"},[m("mjx-c",{class:"mjx-c28"})]),m("mjx-mi",{class:"mjx-i"},[m("mjx-c",{class:"mjx-c1D45F 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