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README.md

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[![Doc](https://img.shields.io/readthedocs/paddlescience-docs/release-1.2)](https://paddlescience-docs.readthedocs.io/zh/release-1.2/)
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[![Code Style](https://img.shields.io/badge/code_style-black-black)](https://github.com/psf/black)
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[![Hydra](https://img.shields.io/badge/config-hydra-89b8cd)](https://hydra.cc/)
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[![License](https://img.shields.io/github/license/PaddlePaddle/PaddleScience)](https://github.com/PaddlePaddle/PaddleScience/blob/develop/LICENSE)
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[![License](https://img.shields.io/github/license/PaddlePaddle/PaddleScience)](https://github.com/PaddlePaddle/PaddleScience/blob/release/1.2/LICENSE)
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<!-- --8<-- [end:status] -->
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[**PaddleScience使用文档**](https://paddlescience-docs.readthedocs.io/zh/release-1.2/)
@@ -51,7 +51,7 @@ PaddleScience 是一个基于深度学习框架 PaddlePaddle 开发的科学计
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| 飞行器设计 | [MeshGraphNets](https://aistudio.baidu.com/projectdetail/5322713) | 数据驱动 | GNN | 监督学习 | [Data](https://aistudio.baidu.com/datasetdetail/184320) | [Paper](https://arxiv.org/abs/2010.03409)|
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| 飞行器设计 | [火箭发动机真空羽流](https://aistudio.baidu.com/projectdetail/4486133) | 数据驱动 | CNN | 监督学习 | [Data](https://aistudio.baidu.com/datasetdetail/167250) | - |
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| 飞行器设计 | [Deep-Flow-Prediction](https://aistudio.baidu.com/projectdetail/5671596) | 数据驱动 | TurbNetG | 监督学习 | [Data](https://aistudio.baidu.com/datasetdetail/197778) | [Paper](https://arxiv.org/abs/1810.08217) |
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| 流固耦合 | [涡激振动](https://paddlescience-docs.readthedocs.io/zh/release-1.2/zh/examples/viv) | 机理驱动 | MLP | 半监督学习 | [Data](https://github.com/PaddlePaddle/PaddleScience/blob/develop/examples/fsi/VIV_Training_Neta100.mat) | [Paper](https://arxiv.org/abs/2206.03864)|
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| 流固耦合 | [涡激振动](https://paddlescience-docs.readthedocs.io/zh/release-1.2/zh/examples/viv) | 机理驱动 | MLP | 半监督学习 | [Data](https://github.com/PaddlePaddle/PaddleScience/blob/release/1.2/examples/fsi/VIV_Training_Neta100.mat) | [Paper](https://arxiv.org/abs/2206.03864)|
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| 多相流 | [气液两相流](https://paddlescience-docs.readthedocs.io/zh/release-1.2/zh/examples/bubble) | 机理驱动 | BubbleNet | 半监督学习 | [Data](https://paddle-org.bj.bcebos.com/paddlescience/datasets/BubbleNet/bubble.mat) | [Paper](https://pubs.aip.org/aip/adv/article/12/3/035153/2819394/Predicting-micro-bubble-dynamics-with-semi-physics)|
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| 多相流 | [twophasePINN](https://aistudio.baidu.com/projectdetail/5379212) | 机理驱动 | MLP | 无监督学习 | - | [Paper](https://doi.org/10.1016/j.mlwa.2021.100029)|
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| 多相流 | 非高斯渗透率场估计<sup>coming soon</sup> | 机理驱动 | cINN | 监督学习 | - | [Paper](https://pubs.aip.org/aip/adv/article/12/3/035153/2819394/Predicting-micro-bubble-dynamics-with-semi-physics)|
@@ -60,7 +60,7 @@ PaddleScience 是一个基于深度学习框架 PaddlePaddle 开发的科学计
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| 流场高分辨率重构 | [基于Voronoi嵌入辅助深度学习的稀疏传感器全局场重建](https://aistudio.baidu.com/projectdetail/5807904) | 数据驱动 | CNN | 监督学习 | [Data1](https://drive.google.com/drive/folders/1K7upSyHAIVtsyNAqe6P8TY1nS5WpxJ2c)<br>[Data2](https://drive.google.com/drive/folders/1pVW4epkeHkT2WHZB7Dym5IURcfOP4cXu)<br>[Data3](https://drive.google.com/drive/folders/1xIY_jIu-hNcRY-TTf4oYX1Xg4_fx8ZvD) | [Paper](https://arxiv.org/pdf/2202.11214.pdf) |
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| 流场高分辨率重构 | 基于扩散的流体超分重构<sup>coming soon</sup> | 数理融合 | DDPM | 监督学习 | - | [Paper](https://www.sciencedirect.com/science/article/pii/S0021999123000670)|
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| 求解器耦合 | [CFD-GCN](https://paddlescience-docs.readthedocs.io/zh/release-1.2/zh/examples/cfdgcn) | 数据驱动 | GCN | 监督学习 | [Data](https://aistudio.baidu.com/aistudio/datasetdetail/184778)<br>[Mesh](https://paddle-org.bj.bcebos.com/paddlescience/datasets/CFDGCN/meshes.tar) | [Paper](https://arxiv.org/abs/2007.04439)|
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| 受力分析 | [1D 欧拉梁变形](https://github.com/PaddlePaddle/PaddleScience/blob/develop/examples/euler_beam/euler_beam.py) | 机理驱动 | MLP | 无监督学习 | - | - |
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| 受力分析 | [1D 欧拉梁变形](https://github.com/PaddlePaddle/PaddleScience/blob/release/1.2/examples/euler_beam/euler_beam.py) | 机理驱动 | MLP | 无监督学习 | - | - |
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| 受力分析 | [2D 平板变形](https://paddlescience-docs.readthedocs.io/zh/release-1.2/zh/examples/biharmonic2d) | 机理驱动 | MLP | 无监督学习 | - | [Paper](https://arxiv.org/abs/2108.07243) |
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| 受力分析 | [3D 连接件变形](https://paddlescience-docs.readthedocs.io/zh/release-1.2/zh/examples/bracket) | 机理驱动 | MLP | 无监督学习 | [Data](https://paddle-org.bj.bcebos.com/paddlescience/datasets/bracket/bracket_dataset.tar) | [Tutorial](https://docs.nvidia.com/deeplearning/modulus/modulus-v2209/user_guide/foundational/linear_elasticity.html) |
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| 受力分析 | [结构震动模拟](https://paddlescience-docs.readthedocs.io/zh/release-1.2/zh/examples/phylstm) | 机理驱动 | PhyLSTM | 监督学习 | [Data](https://paddle-org.bj.bcebos.com/paddlescience/datasets/PhyLSTM/data_boucwen.mat) | [Paper](https://arxiv.org/abs/2002.10253) |
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<!-- --8<-- [start:update] -->
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## 🕘最近更新
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- 添加二维血管案例([LabelFree-DNN-Surrogate](https://paddlescience-docs.readthedocs.io/zh/release-1.2/zh/examples/labelfree_DNN_surrogate/#4))、空气激波案例([ShockWave](https://paddlescience-docs.readthedocs.io/zh/release-1.2/zh/examples/shock_wave/))、去噪网络模型([DUCNN](https://github.com/PaddlePaddle/PaddleScience/tree/develop/jointContribution/DU_CNN))、风电预测模型([Deep Spatial Temporal](https://github.com/PaddlePaddle/PaddleScience/tree/develop/jointContribution/Deep-Spatio-Temporal))、域分解模型([XPINNs](https://github.com/PaddlePaddle/PaddleScience/tree/develop/jointContribution/XPINNs))、积分方程求解案例([Volterra Equation](https://paddlescience-docs.readthedocs.io/zh/release-1.2/zh/examples/volterra_ide/))、分数阶方程求解案例([Fractional Poisson 2D](https://github.com/PaddlePaddle/PaddleScience/blob/develop/examples/fpde/fractional_poisson_2d.py))。
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- 添加二维血管案例([LabelFree-DNN-Surrogate](https://paddlescience-docs.readthedocs.io/zh/release-1.2/zh/examples/labelfree_DNN_surrogate/#4))、空气激波案例([ShockWave](https://paddlescience-docs.readthedocs.io/zh/release-1.2/zh/examples/shock_wave/))、去噪网络模型([DUCNN](https://github.com/PaddlePaddle/PaddleScience/tree/release/1.2/jointContribution/DU_CNN))、风电预测模型([Deep Spatial Temporal](https://github.com/PaddlePaddle/PaddleScience/tree/release/1.2/jointContribution/Deep-Spatio-Temporal))、域分解模型([XPINNs](https://github.com/PaddlePaddle/PaddleScience/tree/release/1.2/jointContribution/XPINNs))、积分方程求解案例([Volterra Equation](https://paddlescience-docs.readthedocs.io/zh/release-1.2/zh/examples/volterra_ide/))、分数阶方程求解案例([Fractional Poisson 2D](https://github.com/PaddlePaddle/PaddleScience/blob/release/1.2/examples/fpde/fractional_poisson_2d.py))。
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- 针对串联方程和复杂方程场景,`Equation` 模块支持基于 [sympy](https://docs.sympy.org/dev/tutorials/intro-tutorial/intro.html) 的符号计算,并支持和 python 函数混合使用([#507](https://github.com/PaddlePaddle/PaddleScience/pull/507)[#505](https://github.com/PaddlePaddle/PaddleScience/pull/505))。
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- `Geometry` 模块和 `InteriorConstraint``InitialConstraint` 支持计算 SDF 微分功能([#539](https://github.com/PaddlePaddle/PaddleScience/pull/539))。
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- 添加 **M**ulti**T**ask**L**earning(`ppsci.loss.mtl`) 多任务学习模块,针对多任务优化(如 PINN 方法)进一步提升性能,使用方式:[多任务学习指南](https://paddlescience-docs.readthedocs.io/zh/release-1.2/zh/user_guide/#24)([#493](https://github.com/PaddlePaddle/PaddleScience/pull/505)[#492](https://github.com/PaddlePaddle/PaddleScience/pull/505))。
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<!-- --8<-- [start:git_install] -->
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``` shell
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git clone -b develop https://github.com/PaddlePaddle/PaddleScience.git
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git clone -b release/1.2 https://github.com/PaddlePaddle/PaddleScience.git
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# 若 github clone 速度比较慢,可以使用 gitee clone
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# git clone -b develop https://gitee.com/paddlepaddle/PaddleScience.git
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# git clone -b release/1.2 https://gitee.com/paddlepaddle/PaddleScience.git
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cd PaddleScience
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<!-- --8<-- [start:license] -->
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## 📜证书
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[Apache License 2.0](https://github.com/PaddlePaddle/PaddleScience/blob/develop/LICENSE)
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[Apache License 2.0](https://github.com/PaddlePaddle/PaddleScience/blob/release/1.2/LICENSE)
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<!-- --8<-- [end:license] -->

docs/index.md

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| 飞行器设计 | [MeshGraphNets](https://aistudio.baidu.com/projectdetail/5322713) | 数据驱动 | GNN | 监督学习 | [Data](https://aistudio.baidu.com/datasetdetail/184320) | [Paper](https://arxiv.org/abs/2010.03409)|
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| 飞行器设计 | [火箭发动机真空羽流](https://aistudio.baidu.com/projectdetail/4486133) | 数据驱动 | CNN | 监督学习 | [Data](https://aistudio.baidu.com/datasetdetail/167250) | - |
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| 飞行器设计 | [Deep-Flow-Prediction](https://aistudio.baidu.com/projectdetail/5671596) | 数据驱动 | TurbNetG | 监督学习 | [Data](https://aistudio.baidu.com/datasetdetail/197778) | [Paper](https://arxiv.org/abs/1810.08217) |
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| 流固耦合 | [涡激振动](./zh/examples/viv.md) | 机理驱动 | MLP | 半监督学习 | [Data](https://github.com/PaddlePaddle/PaddleScience/blob/develop/examples/fsi/VIV_Training_Neta100.mat) | [Paper](https://arxiv.org/abs/2206.03864)|
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| 流固耦合 | [涡激振动](./zh/examples/viv.md) | 机理驱动 | MLP | 半监督学习 | [Data](https://github.com/PaddlePaddle/PaddleScience/blob/release/1.2/examples/fsi/VIV_Training_Neta100.mat) | [Paper](https://arxiv.org/abs/2206.03864)|
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| 多相流 | [气液两相流](./zh/examples/bubble.md) | 机理驱动 | BubbleNet | 半监督学习 | [Data](https://paddle-org.bj.bcebos.com/paddlescience/datasets/BubbleNet/bubble.mat) | [Paper](https://pubs.aip.org/aip/adv/article/12/3/035153/2819394/Predicting-micro-bubble-dynamics-with-semi-physics)|
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| 多相流 | [twophasePINN](https://aistudio.baidu.com/projectdetail/5379212) | 机理驱动 | MLP | 无监督学习 | - | [Paper](https://doi.org/10.1016/j.mlwa.2021.100029)|
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| 多相流 | 非高斯渗透率场估计<sup>coming soon</sup> | 机理驱动 | cINN | 监督学习 | - | [Paper](https://pubs.aip.org/aip/adv/article/12/3/035153/2819394/Predicting-micro-bubble-dynamics-with-semi-physics)|
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| 流场高分辨率重构 | [基于Voronoi嵌入辅助深度学习的稀疏传感器全局场重建](https://aistudio.baidu.com/projectdetail/5807904) | 数据驱动 | CNN | 监督学习 | [Data1](https://drive.google.com/drive/folders/1K7upSyHAIVtsyNAqe6P8TY1nS5WpxJ2c)<br>[Data2](https://drive.google.com/drive/folders/1pVW4epkeHkT2WHZB7Dym5IURcfOP4cXu)<br>[Data3](https://drive.google.com/drive/folders/1xIY_jIu-hNcRY-TTf4oYX1Xg4_fx8ZvD) | [Paper](https://arxiv.org/pdf/2202.11214.pdf) |
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| 流场高分辨率重构 | 基于扩散的流体超分重构<sup>coming soon</sup> | 数理融合 | DDPM | 监督学习 | - | [Paper](https://www.sciencedirect.com/science/article/pii/S0021999123000670)|
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| 求解器耦合 | [CFD-GCN](./zh/examples/cfdgcn.md) | 数据驱动 | GCN | 监督学习 | [Data](https://aistudio.baidu.com/aistudio/datasetdetail/184778)<br>[Mesh](https://paddle-org.bj.bcebos.com/paddlescience/datasets/CFDGCN/meshes.tar) | [Paper](https://arxiv.org/abs/2007.04439)|
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| 受力分析 | [1D 欧拉梁变形](https://github.com/PaddlePaddle/PaddleScience/blob/develop/examples/euler_beam/euler_beam.py) | 机理驱动 | MLP | 无监督学习 | - | - |
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| 受力分析 | [1D 欧拉梁变形](https://github.com/PaddlePaddle/PaddleScience/blob/release/1.2/examples/euler_beam/euler_beam.py) | 机理驱动 | MLP | 无监督学习 | - | - |
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| 受力分析 | [2D 平板变形](./zh/examples/biharmonic2d.md) | 机理驱动 | MLP | 无监督学习 | - | [Paper](https://arxiv.org/abs/2108.07243) |
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| 受力分析 | [3D 连接件变形](./zh/examples/bracket.md) | 机理驱动 | MLP | 无监督学习 | [Data](https://paddle-org.bj.bcebos.com/paddlescience/datasets/bracket/bracket_dataset.tar) | [Tutorial](https://docs.nvidia.com/deeplearning/modulus/modulus-v2209/user_guide/foundational/linear_elasticity.html) |
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| 受力分析 | [结构震动模拟](./zh/examples/phylstm.md) | 机理驱动 | PhyLSTM | 监督学习 | [Data](https://paddle-org.bj.bcebos.com/paddlescience/datasets/PhyLSTM/data_boucwen.mat) | [Paper](https://arxiv.org/abs/2002.10253) |
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=== "方式2: pip安装"
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``` shell
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=== "[完整安装流程](./zh/install_setup.md)"

docs/zh/install_setup.md

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执行以下命令以 pip 的方式安装 PaddleScience。
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```
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#### 1.4.3 额外依赖安装[可选]

mkdocs.yml

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site_description: An out-of-the-box open source library for scientific computing based on deep learning.
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site_author: PaddlePaddle
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site_url: "https://github.com/PaddlePaddle/PaddleScience"
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edit_uri: edit/develop/docs/
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edit_uri: edit/release/1.2/docs/
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strict: false
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