简介

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

【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

【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

【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

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

【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

【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

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/

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

【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_Multigr