MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01CADFE1.056B3C70" 此文档为“单个文件网页”，也称为“Web 档案”文件。如果您看到此消息，但是您的浏览器或编辑器不支持“Web 档案”文件。请下载支持“Web 档案”的浏览器，如 Windows? Internet Explorer?。 ------=_NextPart_01CADFE1.056B3C70 Content-Location: file:///C:/1C742233/file2979.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 基于SPH的流体模拟实&= #36341;和一些技巧总结 - GameRes.com

GameRes游= ;戏开发资源网 http://www.gameres.com

 

基于SPH的流体模拟实$= 341;和一些技巧总结

 

SPH的流体模拟是目前&#= 22823;多数游戏所采用的ď= 69;拟流体方法，特点是= 简单，十分容易实现= 5292;相比与基于Grid的Eu= lerian方法更加简单和高&#= 36895;，本文主要介绍一Ç= 79;使用SPH的流体模= 311;中一些常用的技巧和= ;数据结构。

 

目࠺= 9;流体模拟中常用的2类方法，分= 035;代表了从2种不同的方&= 754;来解释Navier-Stokes的流体方= 243;：

&n= bsp;   1、Eulerian方= ;法从空间固定点观察&#= 35813;点的值得变化。

    2、Lagrangian方法则将液体看作&#= 26159;跟随着流动的Particle。

 

Euleri= an方法比较复杂，常&#= 29992;作离线模拟，可以É= 35;生非常逼真的流体效= 果，具体可以参考SIGGRAPH 2007的《FLUID SIMULATION》，作者是Bridson 和 M= uller。

<= span style=3D'color:windowtext;text-decoration:none;text-underline:none'>http://= www.cnblogs.com/fishboy82/archive/2010/02/07/1665233.html=

 

这篇文章小结是我&#= 23545;于这2类方法的粗略总结&#= 12290;

 

现ࢷ= 2;游戏中常用的实时流&= #20307;模拟通常使用Lagrangian的方法来= 169;拟流体，也就是基于= ;粒子的方法，而大多&#= 25968;采用的都是基于SPH(Smooth Particle hydrodynamic)的= ;方法。主要参考文章&#= 20026;Muller的《Particle-Based Fluid Simulation for Interactive Applications》= ;。

 

SPH方法非常简单和容&#= 26131;实现，从我自己做Ű= 07;的刚体和柔体模拟的= 经验来看，可以说基= 0110;SPH的流体比= 018;体和柔体的模拟简单= ;和容易实现的多。

 

SPH方ૢ= 1;概括的说：

1：ल= 5;每个粒子，通过它附&= #36817;周围的所有和它的$= 317;离半径小于r的所有粒子= 469;计算出该粒子点的密= ;度r被称为Smooth Length，通俗的说= 601;是每个粒子的最大影= ;响半径。

2：ल= 5;于每一个粒子，通过&= #29702;想气体状态方程根= 454;上一步计算出的密度= ;从而算出它的压强。

3：ल= 5;于每一个粒子，根据&= #23427;附近周围距离半径= 567;于r的所有粒子= 340;压强（上一步已经计= ;算出）来计算出该粒&#= 23376;由于附近压强差而ë= 48;致受到的压力差。<= /p>

4：ल= 5;于每一个粒子根据它&= #38468;近周围距离半径小= 110;r的所有粒子= 340;速度差来计算出该粒= ;子由于附近速度差而&#= 23548;致受到的粘滞力。

 

对于第一步= 714;解密度来说，=

其中r<= /span>代表粒子i= 和粒子j之间的距离，h代表前面说= 340;Smooth Length

对于第二步= 469;说使用公式3Dfluid0.JPG

注入中

3Dfluid1.JPG

注入液体一= 573;时间后

3Dfluid2.JPG

注入完毕

3Dfluid4.JPG

静止后

3Dfluid5.JPG

&nb= sp;

总结，SPH流体模拟主要包括<= span lang=3DEN-US style=3D'mso-no-proof:yes'>3部分，水分子模拟，= 水面信息抽取，水体= 8210;染，其中第一部分ᦁ= 2;第三部分比较简单，&= #20294;是好的快速的效果&= 656;要有良好，真实地水= ;面信息抽取算法支持&#= 12290;Marching Cube算法可以通过加大಻= 3;格精度来不断提高视&= #35273;效果，速度却得不= 040;保障，所以需要一个= ;更加出色的算法来解&#= 20915;，因此如何开发一È= 10;高效，真实的适用于= 流体的Surface Extraction算法会是个很&= #22823;的挑战。

 

 

fishboy82@163.com <= /p>

 = ;

游戏开发&#= 36164;源网 http://www.gameres.com =

 

 

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