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游戏流体力学基础及unity代码

github地址https://github.com/clatterrr/FluidSimulationTutorialsUnity

gitee码云地址https://gitee.com/clatterrr/FluidSimulationTutorialsUnity

qq模拟流体交流群1001290801,欢迎加入

代码作者:光影帽子

地址

【游戏流体力学基础及Unity代码(一)】热传导方程

https://zhuanlan.zhihu.com/p/263053689

【游戏流体力学基础及Unity代码(二)】有限差分法

https://zhuanlan.zhihu.com/p/264153771

【游戏流体力学基础及Unity代码(三)】用波动方程模拟三维落雨池塘,连续性方程

https://zhuanlan.zhihu.com/p/264585002

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【游戏流体力学基础及Unity代码(四)】用欧拉方程模拟无粘性染料之公式推导

https://zhuanlan.zhihu.com/p/270530827

【游戏流体力学基础及Unity代码(五)】用欧拉方程模拟无粘性染料之代码实现

https://zhuanlan.zhihu.com/p/270531017

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【游戏流体力学基础及Unity代码(六)】用NavierStokes方程模拟粘性染料流动

https://zhuanlan.zhihu.com/p/283662524

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【游戏流体力学基础及Unity代码(七)】车流量问题,非线性水波以及burgers方程

https://zhuanlan.zhihu.com/p/309860521

【游戏流体力学基础及Unity代码(八)】有限体积法

https://zhuanlan.zhihu.com/p/331771977

【游戏流体力学基础及Unity代码(九)】用浅水波方程模拟雨落池塘和DamBreak

https://zhuanlan.zhihu.com/p/331781508

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B站视频https://www.bilibili.com/video/BV1Ry4y167MV

【游戏流体力学基础及Unity代码(十)】漩涡和模拟二维烟雾

https://zhuanlan.zhihu.com/p/340842666

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【游戏流体力学基础及Unity代码(十一)】理想流体机翼绕流和升力原理

https://zhuanlan.zhihu.com/p/340848576

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【游戏流体力学基础及Unity代码(十二)】卡门涡街,边界层,涡方法

https://zhuanlan.zhihu.com/p/345332340

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B站视频https://www.bilibili.com/video/BV1u5411H7hr

【游戏流体力学基础及Unity代码(十三)】泊松压力方程,SIMPLE算法

https://zhuanlan.zhihu.com/p/347410166

【游戏流体力学基础及Unity代码(十四)】舌尖上的有限元Galerkin法

https://zhuanlan.zhihu.com/p/358033368

【游戏流体力学基础及Unity代码(十五)】线性有限元及弹性物体模拟

https://zhuanlan.zhihu.com/p/369505527

波前推进法网格生成https://www.bilibili.com/video/BV1ZK4y1w7R6/

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弹性果冻模拟https://www.bilibili.com/video/BV1w84y1c7K2/

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【游戏流体力学基础及Unity代码(十六)】非线性有限元及牛顿迭代法

https://zhuanlan.zhihu.com/p/369521901

收集

之后预计很长一段时间不会更新了。是为了确保教程质量,以及不犯低级错误。所以你可能会发现一大堆没对应教程的代码,这些宝贵的代码收集起来很不容易,我会尽量保证代码可读性,以及我是从哪里得到的。不过一般我下载到的都是matlab或c++的,我会把它转写成python以加深理解。

以下是我收集的一些代码和网址,觉得很不错就贴上来,不定时更新。不过这些网址可能随时会挂掉

浸入边界法Immersed Boundary Method

https://sites.google.com/view/sglee/research 进入页面,搜索code,找到“\21. Wanho Lee and Seunggyu Lee, Immersed boundary method for simulating interfacial problems, Mathematics 8(11) (2020) 1982 .. (IF2019:1.747) (code)”字样,点击code即可下载。这个页面上还有许多文章是可免费下载的

https://github.com/nickabattista/IB2d 很棒的开源库,有代码,论文和视频

https://www.math.nyu.edu/~peskin/ib_lecture_notes/index.html

https://github.com/shurikkuzmin/ImmersedBoundary

半拉格朗日Semi-Lagrange

https://github.com/iCFD/SemiLagrangian

D:\FluidSim\FluidSim\semilagrange\SemiLagrangian-master

https://github.com/abarret/SemiLagrangian

Fluid Solid Interaction

An Introduction to Fluid-Structure Interaction: Application to the Piston Problem

项目地址 : http://www.utc.fr/~elefra02/ifs/

代码地址:http://www.utc.fr/~elefra02/ifs/archive_FSI.tar.gz

本地代码:D:\FluidSim\FluidSim\FluidSolidInteraction\archive_FSI

https://github.com/WhiteTshirtXI/IBFS_M

有限元

Efficient implementation of adaptive P1-FEM in Matlab

https://www.pplusplus.lima-city.de/femfluid.html Pressure Solve with Finite Elements 很好的matlab库

代码地址:https://www.pplusplus.lima-city.de/lib/data/femfluid/FEM%20Fluid%20Source.zip

本地地址:D:\FluidSim\FluidSim\FEMNEW\FEM Fluid Source\FEM Fluid

https://www.math.hu-berlin.de/~cc/cc_homepage/software/software.shtml

Computationally Solving Nonlinear Membranes with Plane Stress Condition

https://github.com/vasko6d/finite-element-solver

D:\FluidSim\FluidSim\FEMGOOD\finite-element-solver-master\finite-element-solver-master

H^1-Stability of the L^2-Projection onto Finite Element Spaces on Adaptively Refined Quadrilateral Meshes

https://github.com/aschmidtuulm/h1-stability

https://github.com/Vinay5SVeerapur/Finite-element-analysis/blob/master/BEAM%20equation.ipynb

https://github.com/tobyvg/Fluid-codes 方强流

https://github.com/Milad-Rakhsha/FEM_PDE 有限元解势流

https://github.com/emarinhoss/FEM_PETSC

https://github.com/RnkSngh/Double-Slit-Experiment 双缝

https://github.com/shardoolk/FEM

https://github.com/jborggaard/ns2d

https://github.com/Satchit4/Navier-stokes

https://github.com/coltonjconroy/DG_2d_lava_flows

https://github.com/nileshjchoudhary/Flow-through-driven-cavity-Finite-element-analysis-CFD

https://github.com/Hahany/Finite-element-method

https://zenodo.org/record/4011630#.YMs3l2hLjIV

https://git.lacan.upc.edu/hybridLab/HDGlab HDGlab: An Open-Source Implementation of the Hybridisable Discontinuous Galerkin Method in MATLAB,里面的四边形八边形单元数据挺多

https://github.com/FESTUNG/FESTUNG

https://github.com/mfem/mfem

https://github.com/matlabfem/matlab_fem_elastoplasticity Efficient and flexible MATLAB implementation of 2D and 3D elastoplastic problems

Galerkin

An Introduction to Element-based Galerkin Methods on Tensor-Product Bases: Analysis, Algorithms, and Applications

https://github.com/fxgiraldo/Element-based-Galerkin-Methods

D:\FluidSim\FluidSim\Galerkin\Element-based-Galerkin-Methods-master\Element-based-Galerkin-Methods-master

https://github.com/tuhouwang?tab=repositories

Nodal Based Galerkin

https://github.com/Achyut2404/nodalDG

D:\FluidSim\FluidSim\Galerkin\nodalDG-master\src

https://github.com/Jacklswalsh/DGM-Advection-AD 自适应快速一维Galerkin

D:\FluidSim\FluidSim\Galerkin\DGM-Advection-AD-main

https://github.com/asdf123101/HDPG1D

D:\FluidSim\FluidSim\Galerkin\HDPG1D-master

https://github.com/hanveiga/higher-order-methods/blob/master/dg1d.py

https://github.com/wme7/cprlinearexamples 画正方形

https://github.com/AndrewWang996/Discontinuous-Galerkin

https://github.com/Chang-Liu-0520/1D_advec_DG

https://github.com/pinkieli/Interpolation-Nodes-for-High-order-Lagrange-Finite-Elements.Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications", Jan S Hesthaven and Tim Warburton.

https://github.com/QuazarTech/DG_Maxwell

Unstructed mesh

D:\FluidSim\FluidSim\NavierStokes\circular tankhttps://sourceforge.net/projects/circularwavetank/

Development of Numerical Circular Wave Basin and Investigation of Tsunami-Structure Interaction

HILBERT is a Matlab library for h-adaptive Galerkin BEMhttps://www.asc.tuwien.ac.at/~praetorius/?id=hilbert

谱方法

SPECTRAL METHOD FOR TIME DEPENDENT NAVIER-STOKES EQUATIONS

http://cpraveen.github.io/teaching/chebpy.html

数值积分

https://github.com/jgressier/flowdyn/blob/master/flowdyn/integration.py RK4 low storage

边界元

https://team-pancho.github.io/deltaBEM/download.html

线性方程组的迭代解法

http://www.netlib.org/templates/matlab/ 就是一些共轭梯度,预处理的共轭梯度,最小残差GMRES,双共轭梯度

https://github.com/JuliaLinearAlgebra/IterativeSolvers.jl Julia语言实现的各种方程组解法。

Optimization in Practice with MATLAB®: For Engineering Students and Professionals 最优化书籍

https://github.com/Manchery/numerical-analysis-practice

https://github.com/JordanFisher/Paper-Implicit-IBM-2D/blob/master/CODE%20FREEZE/NewHeartValveSim.py 有预处理共轭梯度,快速雅可比等

https://github.com/JuliaNLSolvers/NLsolve.jl/blob/master/src/solvers/trust_region.jl 置信域

https://github.com/Hannah-Zhou/Optimization_Algorithm

计算电磁学中的超大规模并行矩量法

https://github.com/team-pancho/deltaBEM

https://github.com/taichi-dev/taichi/blob/master/examples/mgpcg_advanced.py

网格生成

http://persson.berkeley.edu/ 特别棒的二维三维网格生成的matlab代码

https://ifsnumericaltools.weebly.com/ 也是很棒的代码 D:\FluidSim\MathsWorkMisc\mesh2d_v24\Mesh2d_v24

https://github.com/aschmidtuulm/ameshref Adaptive Mesh Refinement in 2D–An Efficient Implementation in Matlab论文对应的代码

TetGen http://wias-berlin.de/software/tetgen/formAction12.jsp

D:\FluidSim\OpenSource\tetgen1.5.1\tetgen1.5.1

https://doc.cgal.org/4.13/Manual/tutorials.html

Persson, P. O., and G. Strang (2004), A simple mesh generator in MATLAB

http://www.robertschneiders.de/meshgeneration/software.html

Adaptive Mesh Refinement in 2D An Efficient Implementation in Matlab for Triangular and Quadrilateral Meshes

H1-STABILITY OF THE L2-PROJECTION ONTO FINITE ELEMENT SPACES ON ADAPTIVELY REFINED QUADRILATERAL MESHES

Adaptive Mesh Refinement in 2D An Efficient Implementation in Matlab

非定常流

https://www.mathworks.com/matlabcentral/fileexchange/?q=profileid:4187051

声学

Physically Based Sound for Computer Animation and Virtual Environments

ACM SIGGRAPH 2016 Course

水平集

教授Osher Stanley,

Geometric Level Set Methods in Imaging,Vision & Graphics

https://www.cs.ubc.ca/~mitchell/ToolboxLS/ matlab示例,非常棒的成系统的代码。

https://github.com/scikit-image/scikit-image/blob/main/skimage/segmentation/_chan_vese.py 有一个有名的python库叫scikit-image,里面实现了chanvese算法

A discrete level-set topology optimization code written in Matlab

Closet Point Method

https://www.math.ubc.ca/~cbm/cpm/

https://github.com/kimy-de/gpuallencahn 阿兰方程

多孔介质

An Introduction to the Numerics of Flow in Porous Media using Matlab

https://github.com/pmgbergen/porepy

https://github.com/jjhidalgo/HGCchem2 有分层现象,大佬主页https://jjhidalgo.wordpress.com/codes/

浅水波

项目地址:https://web.cse.ohio-state.edu/~wang.3602/courses/cse3541-2019-fall/index.html

unity 包:https://web.cse.ohio-state.edu/~wang.3602/courses/cse3541-2019-fall/lab4/wave_example.unitypackage

多重网格

http://pages.cs.wisc.edu/~sifakis/project_pages/mgpcg.html 并行多重网格泊松求解器附代码

https://github.com/JuliaLinearAlgebra/AlgebraicMultigrid.jl/tree/master/src 代数多重网格

https://github.com/danfortunato 直接关注这个人就行了

https://github.com/pymatting/pymatting/blob/master/pymatting/preconditioner/vcycle.py

https://github.com/lyc102/ifem ifem

https://amgcl.readthedocs.io/en/latest/examples.html

https://github.com/evstigneevnm/GMG_2D_tests

https://github.com/gnitish18/FEM_Multigrid

多相流

2D Cartesian Quadtree Adaptive Mesh Refinement (AMR) for multiphase Five Equations Model.https://github.com/dattv/2D_CARFIVE

https://github.com/Spoonacular/LBM_python

https://github.com/mirsandiharyo/multiphase_flows_front_tracking_python 模拟泡泡和水滴

https://github.com/rarbarim/multiphase_flow_simulator 附带报告,作者还有一些别的代码

数学

http://pages.cs.wisc.edu/~sifakis/project_pages/svd.html Computing the Singular Value Decomposition of 3x3 matrices with minimal branching and elementary floating point operations附代码

泡泡

Role of the Dynamic Contact Angle on Splashing

湍流

DNSLABhttps://md-datasets-cache-zipfiles-prod.s3.eu-west-1.amazonaws.com/6gtnjwwg8j-1.zip

LESCODE https://cfd.engr.uconn.edu/ 不过代码需要填个申请表格才能获取

本地代码地址:D:\FluidSim\FluidSim\LES\les.r123\les

Turbulent Fluids – SIGGRAPH Course https://ge.in.tum.de/research/turbulent-fluids-siggraph-course/

https://github.com/thijsbon/CMF_project_thijs_victor 有湍流和墙函数

https://github.com/Maikuelet/Turbulence_Modelling_Burgulence

https://github.com/nasa/gfr

https://github.com/nasa/TLNS3D

边界元

https://github.com/Timmmdavis/CutAndDisplace

https://github.com/Timmmdavis/CutAndDisplace

碰撞检测

Fast Continuous Collision Detection using Deforming Non-Penetration Filters

项目地址:http://gamma.cs.unc.edu/DNF/

代码地址:http://gamma.cs.unc.edu/DNF/request.html

形状优化

https://github.com/jorgensd/MultiMeshShapeOpt_code

电磁学

A generalized polynomial chaos based ensemble Kalman filter with high accuracy

https://github.com/Andrewpensoneault/Lorenz_63_Stochastic_Galerkin_EnKF

https://github.com/joebling/graduate_essay

https://github.com/Mjjnuu/DoublePendulum 似乎是宇宙学

D:\FluidSim\Electron\DoublePendulum-master\python

An introduction to reservoir simulation using MATLAB

https://github.com/keileg/fvbiot

https://github.com/tarcisiofischer/helmholtz-solver/tree/master/src/python

https://github.com/ep2lab 一些磁流体

https://github.com/mgoycoolea/twofluid/blob/master/twofluid.py

https://github.com/trevorcrupi/EM-MG 电磁学的多重网格

https://github.com/rasalkumar/FEM

https://github.com/ocramz/lib_FEM_py

https://github.com/eduardobehr/pyjoule

https://github.com/briandaniel/ComputationalElectromagnetics

https://github.com/utsav-akhaury/Computational-Electromagnetics-FDTD-Analysis/blob/master/Microstrip_SW-2.py

Commics is an open-source Python module for the study of the magnetization dynamics in ferromagnetic materials via micromagnetic simulations.https://www.asc.tuwien.ac.at/~praetorius/?id=commics

声学

http://www.k-wave.org/download.php

https://github.com/pvanberg/DGFEM-Acoustic

https://github.com/1ceaham/AcousticFVTD_GeneralImpedance

https://github.com/ivanmartinezsuarez/Matlab_FVM

粘弹性

https://github.com/labsin-unesp/Viscoel-stico-Kelvin-Voigt

https://people.sc.fsu.edu/~jburkardt/m_src/ 有各种各样的有限元matlab代码

https://github.com/weymouth/WaterLily.jl 漂亮的NS方程模拟

Extraction of Distinguished Hyperbolic Trajectories for 2D Time-Dependent Vector Field Topology

介绍页面:https://vcg.iwr.uni-heidelberg.de/people/sadlo/

代码地址:https://github.com/lhofmann/eurovis2020_hyperbolic_trajectories

A PArallel Robust Interface Simulator that combines VOF and Front-Tracking

介绍页面:http://www.ida.upmc.fr/~zaleski/paris/index.html

代码地址:http://www.ida.upmc.fr/~zaleski/paris/paris-stable.tar.gz

A Hyperbolic Geometric Flow for Evolving Films and Foams

项目地址:https://ryichando.graphics/

代码地址:https://github.com/sdsgisd/HGF

Interpolation Nodes for High-order Lagrange Finite Elements

https://github.com/pinkieli/Interpolation-Nodes-for-High-order-Lagrange-Finite-Elements.

Semi-Riemannian Manifold Optimization

https://github.com/trgao10/SemiRiem

https://github.com/noamaig/hyperbolic_orbifolds

An entropy-stable hybrid scheme for simulations of transcritical real-fluid flow[JCP的]

https://github.com/peterma123456789/DoubleFlux-1D

Ice sheet flow with thermally activated sliding

https://github.com/elisamantelli/subtemperate_sliding_rspa_2019

Wavelet-Fourier CORSING techniques for multi-dimensional advection-diffusion-reaction equations

https://github.com/simone-brugiapaglia/corsing-wavelet-fourier-adr

River Profile

https://github.com/sfgallen/ChiProfiler

https://github.com/ISSI2015/M4 Real-Time Deformation

A fast implicit method for time-dependent Hamilton-Jacobi PDEs

超声速可压缩

https://github.com/Fanxiaotsing/One-dimensional-aero-heating-code 平板对流换热

https://github.com/holdmygithub/ASOInviscidSupersonicFlow 机翼设计

D:\FluidSim\FluidSim\NavierStokes\ASOInviscidSupersonicFlow-master\ASOInviscidSupersonicFlow-master

https://github.com/amikkonen/lidDrivenCavityCompressibleFlowPython 可压缩顶盖驱动

https://github.com/GerardBoberg/CompressiblePipeFlow

D:\FluidSim\FluidSim\CompressibeNewgood\CompressiblePipeFlow-master\CompressiblePipeFlow-master

https://home.cscamm.umd.edu/centpack/examples/euler2d.htm#press

https://github.com/silentmovie/RTmodel RT不稳定

PYRO2 开源库https://python-hydro.github.io/pyro2/compressible_basics.html

超级好https://github.com/jingchangshi/NumericalMethodsForConservationLawsDG

https://archive.siam.org/books/cs18/

空气动力

https://github.com/Maikuelet/FEM_Airplane

SIMPLE/PISO

https://github.com/mehrdadyo/LS-IBM

Joukowski transformhttps://www.research-collection.ethz.ch/handle/20.500.11850/146738

混合网格粒子法

PolyPIC: the Polymorphic-Particle-in-Cell Method for Fluid-Kinetic Coupling

https://github.com/smarkidis/fluid-kinetic-PIC

大佬主页

下面的主页全部是附有开源代码的

https://cs.uwaterloo.ca/~c2batty/

https://zhxx1987.github.io/#cod 猜猜这是谁?

http://gamma.cs.unc.edu/software/ 这是个项目主页,开源代码很多

https://www.cc.gatech.edu/~turk/

https://people.llnl.gov/lindstrom2 偏向几何数据处理

http://ntoken.com/pubs.html#Thuerey_2016_ofblend

http://www.tkim.graphics/

http://www.cmap.polytechnique.fr/~allaire/

https://sites.google.com/view/valentinresseguier/projects

https://www.konrad-simon.eu/wordpress/?page_id=91

http://www-personal.umich.edu/~ndk/

https://people.ece.ubc.ca/kaynama/

https://math.berkeley.edu/~strain/Codes/index.html

https://www.cwimd.nl/doku.php?id=codes:start

https://www.cwi.nl/research/groups/multiscale-dynamics#software

https://math.nist.gov/~WMitchell/

https://www.mcs.anl.gov/~fischer/me528/

Particle In Cell

https://medium.com/swlh/create-your-own-plasma-pic-simulation-with-python-39145c66578b

吐槽这个网站验证机制太弱智,如果它要求你升级会员才能查看剩下内容,那么你只要重新换个浏览器就行了。

https://www.particleincell.com/2011/particle-in-cell-example/

https://personalpages.manchester.ac.uk/staff/david.silvester/

开源项目

pyro2

netgen

scipy这玩意有一些矩阵迭代求解法

http://granoo.52083.n8.nabble.com/

clawpack

aspect https://aspect.geodynamics.org/

dealii

fenics

http://milamin.org/downloads/

https://personalpages.manchester.ac.uk/staff/david.silvester/ifiss/

不错的论文

内容很棒的论文以及讲义

Lecture notes Introduction to numerical methods for interfacial flows

很有个性的论文标题

内容不管,但是标题值得写上一万字来吐槽

A massive fractal in days, not years

没用但暂时不删的链接

code_aster https://code-aster.org/spip.php?article920