Fluid Simulation methods in Video Games
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There are two main methods of fluid simulation techniques in games and computer simulation: Grid-based and Particle-based. This presentation is a brief overview I gave at a Havok meeting in San francisco in 2010.
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About the event
14th Edition of International conference on computer vision
Computer conferences organized by ScienceFather group. ScienceFather takes the privilege to invite speakers participants students delegates and exhibitors from across the globe to its International Conference on computer conferences to be held in the Various Beautiful cites of the world. computer conferences are a discussion of common Inventions-related issues and additionally trade information share proof thoughts and insight into advanced developments in the science inventions service system. New technology may create many materials and devices with a vast range of applications such as in Science medicine electronics biomaterials energy production and consumer products.
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如何办理(hull学位证书)英国赫尔大学毕业证硕士文凭原版一模一样
原版定制【微信:bwp0011】《(hull学位证书)英国赫尔大学毕业证硕士文凭》【微信:bwp0011】成绩单 、雅思、外壳、留信学历认证永久存档查询，采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信bwp0011】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信bwp0011】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
【关于价格问题（保证一手价格）】
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
原版定制美国纽约州立大学奥尔巴尼分校毕业证学位证书原版一模一样
原版一模一样【微信：741003700 】【美国纽约州立大学奥尔巴尼分校毕业证学位证书】【微信：741003700 】学位证，留信认证（真实可查，永久存档）offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原海外各大学 Bachelor Diploma degree, Master Degree Diploma
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
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14 th Edition of International conference on computer vision
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Fluid Simulation methods in Video Games
- 1. Vortex-Velocity based Fluid Simulation Reza Nezami Based on Series of Articles by Dr. M.J. Gourlay Fluid Simulation for Games
- 3. Motivations • True Water based Video Games still Missing! • Big difference between Visual vs Physical Simulations! • Dawn of Parallelizing API + Multicore HW • Challenging! Conventional RigidBody/Articulation/Collision based physics not suitable here!
- 4. Discretization/Representation a) Grid Based (Eulerian View, SPH) b) Particle Based (Lagrangian View, DVM),
- 5. Fluid Properties/Formula • Pressure : p • Viscosity : v • Density : q • Temperature : affects the above properties • Navier-Stokes equation is governing formula for fluid dynamics
- 7. Buoyancy
- 8. DVM • use vortex particles called vortons to represent tiny vortex elements: Biot-Savart Law (used for advection):
- 9. Vorton Dynamics • With N Vortons, advection computation is O(N^2) • Too slow, use Vorton Clusters (influence tree)
- 10. Hybrid Scheme • Use grid cell representation to aggregate effect of all vortons in each cell as one • Fluid is represented by two kind of particles: vortons and tracers. Tracers are passive and only carry momentum, but do not contribute to fluid dynamic. • Use interpolation to distribute updated grid attributes to all actors (vortons & tracers)
- 11. Boundary Conditions / Rigid body interaction • Various boundary conditions: • (a) No-through, (b) no-slip, (c) free-slip, and (d) periodic
- 12. Ways to satisfy boundary conditions • Assigning a vorton to satisfy no-through and no-slip boundary conditions:
- 13. Implementation • Use influence tree to compute velocity based on vorticity at each grid point, using Biot- Savart law on the gird: • Use velocity on the grid to compute its Jacobian used in
- 14. Implementation (Cont’d) • Diffuse term represents dissipation of vorticity cross grid boundaries between neigboring vortons. So we can use this instead: • Advection in is automatically taken care of by allowing vortons to move in the fluid.
- 15. Implementation(Cont’d) • Final resulting vorticity equation is embarrassingly parallel and could easily be parallelized using say Intel’s TBB. • Here’s link to sample implementation by Dr. Gourlay: • http://www.youtube.com/watch?v=MlFAzXeC B80
Editor's Notes
- DVM advantages: Since it is by theory divergence free, so solutions are stable, can be applied to low viscosity better... Can concentrate computational resources on more interesting part of fluid: i.e. vortices