@@ -25,45 +25,45 @@ PaddleScience 是一个基于深度学习框架 PaddlePaddle 开发的科学计
2525
2626| 问题类型 | 案例名称 | 优化算法 | 模型类型 | 训练方式 | 数据集 | 参考资料 |
2727| -----| ---------| -----| ---------| ----| ---------| ---------|
28- | 微分方程 | [ 拉普拉斯方程] ( ./ docs/zh/examples/laplace2d.md ) | 机理驱动 | MLP | 无监督学习 | - | - |
29- | 微分方程 | [ 伯格斯方程] ( ./ docs/zh/examples/deephpms.md ) | 机理驱动 | MLP | 无监督学习 | [ Data] ( https://github.com/maziarraissi/DeepHPMs/tree/master/Data ) | [ Paper] ( https://arxiv.org/pdf/1801.06637.pdf ) |</center >
30- | 微分方程 | [ 非线性偏微分方程] ( ./ docs/zh/examples/pirbn.md ) | 机理驱动 | MLP | 无监督学习 | - | [ Paper] ( https://arxiv.org/abs/2304.06234 ) |
31- | 微分方程 | [ 洛伦兹方程] ( ./ docs/zh/examples/lorenz.md ) | 数据驱动 | Transformer-Physx | 监督学习 | [ Data] ( https://github.com/zabaras/transformer-physx ) | [ Paper] ( https://arxiv.org/abs/2010.03957 ) |
32- | 微分方程 | [ 若斯叻方程] ( ./ docs/zh/examples/rossler.md ) | 数据驱动 | Transformer-Physx | 监督学习 | [ Data] ( https://github.com/zabaras/transformer-physx ) | [ Paper] ( https://arxiv.org/abs/2010.03957 ) |
33- | 算子学习 | [ DeepONet] ( ./ docs/zh/examples/deeponet.md ) | 数据驱动 | MLP | 监督学习 | [ Data] ( https://deepxde.readthedocs.io/en/latest/demos/operator/antiderivative_unaligned.html ) | [ Paper] ( https://export.arxiv.org/pdf/1910.03193.pdf ) |
28+ | 微分方程 | [ 拉普拉斯方程] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/laplace2d) | 机理驱动 | MLP | 无监督学习 | - | - |
29+ | 微分方程 | [ 伯格斯方程] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/deephpms) | 机理驱动 | MLP | 无监督学习 | [ Data] ( https://github.com/maziarraissi/DeepHPMs/tree/master/Data ) | [ Paper] ( https://arxiv.org/pdf/1801.06637.pdf ) |</center >
30+ | 微分方程 | [ 非线性偏微分方程] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/pirbn) | 机理驱动 | MLP | 无监督学习 | - | [ Paper] ( https://arxiv.org/abs/2304.06234 ) |
31+ | 微分方程 | [ 洛伦兹方程] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/lorenz) | 数据驱动 | Transformer-Physx | 监督学习 | [ Data] ( https://github.com/zabaras/transformer-physx ) | [ Paper] ( https://arxiv.org/abs/2010.03957 ) |
32+ | 微分方程 | [ 若斯叻方程] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/rossler) | 数据驱动 | Transformer-Physx | 监督学习 | [ Data] ( https://github.com/zabaras/transformer-physx ) | [ Paper] ( https://arxiv.org/abs/2010.03957 ) |
33+ | 算子学习 | [ DeepONet] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/deeponet) | 数据驱动 | MLP | 监督学习 | [ Data] ( https://deepxde.readthedocs.io/en/latest/demos/operator/antiderivative_unaligned.html ) | [ Paper] ( https://export.arxiv.org/pdf/1910.03193.pdf ) |
3434| 微分方程 | 梯度增强的物理知识融合PDE求解<sup >coming soon</sup > | 机理驱动 | gPINN | 半监督学习 | - | [ Paper] ( https://www.sciencedirect.com/science/article/abs/pii/S0045782522001438?via%3Dihub ) |
35- | 积分方程 | [ 沃尔泰拉积分方程] ( ./ docs/zh/examples/volterra_ide.md ) | 机理驱动 | MLP | 无监督学习 | - | [ Project] ( https://github.com/lululxvi/deepxde/blob/master/examples/pinn_forward/Volterra_IDE.py ) |
35+ | 积分方程 | [ 沃尔泰拉积分方程] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/volterra_ide) | 机理驱动 | MLP | 无监督学习 | - | [ Project] ( https://github.com/lululxvi/deepxde/blob/master/examples/pinn_forward/Volterra_IDE.py ) |
3636
3737<br >
3838<p align =" center " ><b >技术科学(AI for Technology)</b ></p >
3939
4040| 问题类型 | 案例名称 | 优化算法 | 模型类型 | 训练方式 | 数据集 | 参考资料 |
4141| -----| ---------| -----| ---------| ----| ---------| ---------|
42- | 定常不可压流体 | [ 2D 定常方腔流] ( ./ docs/zh/examples/ldc2d_steady.md ) | 机理驱动 | MLP | 无监督学习 | - | |
43- | 定常不可压流体 | [ 2D 达西流] ( ./ docs/zh/examples/darcy2d.md ) | 机理驱动 | MLP | 无监督学习 | - | |
44- | 定常不可压流体 | [ 2D 管道流] ( ./ docs/zh/examples/labelfree_DNN_surrogate.md ) | 机理驱动 | MLP | 无监督学习 | - | [ Paper] ( https://arxiv.org/abs/1906.02382 ) |
45- | 定常不可压流体 | [ 3D 血管瘤] ( ./ docs/zh/examples/aneurysm.md ) | 机理驱动 | MLP | 无监督学习 | [ Data] ( https://paddle-org.bj.bcebos.com/paddlescience/datasets/aneurysm/aneurysm_dataset.tar ) | [ Project] ( https://docs.nvidia.com/deeplearning/modulus/modulus-v2209/user_guide/intermediate/adding_stl_files.html ) |
46- | 定常不可压流体 | [ 任意 2D 几何体绕流] ( ./ docs/zh/examples/deepcfd.md ) | 数据驱动 | DeepCFD | 监督学习 | - | [ Paper] ( https://arxiv.org/abs/2004.08826 ) |
47- | 非定常不可压流体 | [ 2D 非定常方腔流] ( ./ docs/zh/examples/ldc2d_unsteady.md ) | 机理驱动 | MLP | 无监督学习 | - | - |
48- | 非定常不可压流体 | [ Re100 2D 圆柱绕流] ( ./ docs/zh/examples/cylinder2d_unsteady.md ) | 机理驱动 | MLP | 半监督学习 | [ Data] ( https://paddle-org.bj.bcebos.com/paddlescience/datasets/cylinder2d_unsteady_Re100/cylinder2d_unsteady_Re100_dataset.tar ) | [ Paper] ( https://arxiv.org/abs/2004.08826 ) |
49- | 非定常不可压流体 | [ Re100~ 750 2D 圆柱绕流] ( ./ docs/zh/examples/cylinder2d_unsteady_transformer_physx.md ) | 数据驱动 | Transformer-Physx | 监督学习 | [ Data] ( https://github.com/zabaras/transformer-physx ) | [ Paper] ( https://arxiv.org/abs/2010.03957 ) |
50- | 可压缩流体 | [ 2D 空气激波] ( ./ docs/zh/examples/shock_wave.md ) | 机理驱动 | PINN-WE | 无监督学习 | - | [ Paper] ( https://arxiv.org/abs/2206.03864 ) |
42+ | 定常不可压流体 | [ 2D 定常方腔流] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/ldc2d_steady) | 机理驱动 | MLP | 无监督学习 | - | |
43+ | 定常不可压流体 | [ 2D 达西流] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/darcy2d) | 机理驱动 | MLP | 无监督学习 | - | |
44+ | 定常不可压流体 | [ 2D 管道流] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/labelfree_DNN_surrogate) | 机理驱动 | MLP | 无监督学习 | - | [ Paper] ( https://arxiv.org/abs/1906.02382 ) |
45+ | 定常不可压流体 | [ 3D 血管瘤] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/aneurysm) | 机理驱动 | MLP | 无监督学习 | [ Data] ( https://paddle-org.bj.bcebos.com/paddlescience/datasets/aneurysm/aneurysm_dataset.tar ) | [ Project] ( https://docs.nvidia.com/deeplearning/modulus/modulus-v2209/user_guide/intermediate/adding_stl_files.html ) |
46+ | 定常不可压流体 | [ 任意 2D 几何体绕流] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/deepcfd) | 数据驱动 | DeepCFD | 监督学习 | - | [ Paper] ( https://arxiv.org/abs/2004.08826 ) |
47+ | 非定常不可压流体 | [ 2D 非定常方腔流] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/ldc2d_unsteady) | 机理驱动 | MLP | 无监督学习 | - | - |
48+ | 非定常不可压流体 | [ Re100 2D 圆柱绕流] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/cylinder2d_unsteady) | 机理驱动 | MLP | 半监督学习 | [ Data] ( https://paddle-org.bj.bcebos.com/paddlescience/datasets/cylinder2d_unsteady_Re100/cylinder2d_unsteady_Re100_dataset.tar ) | [ Paper] ( https://arxiv.org/abs/2004.08826 ) |
49+ | 非定常不可压流体 | [ Re100~ 750 2D 圆柱绕流] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/cylinder2d_unsteady_transformer_physx) | 数据驱动 | Transformer-Physx | 监督学习 | [ Data] ( https://github.com/zabaras/transformer-physx ) | [ Paper] ( https://arxiv.org/abs/2010.03957 ) |
50+ | 可压缩流体 | [ 2D 空气激波] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/shock_wave) | 机理驱动 | PINN-WE | 无监督学习 | - | [ Paper] ( https://arxiv.org/abs/2206.03864 ) |
5151| 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 ) |
5252| 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 ) | - |
5353| 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 ) |
54- | 流固耦合 | [ 涡激振动] ( ./ docs/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 ) |
55- | 多相流 | [ 气液两相流] ( ./ docs/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 ) |
54+ | 流固耦合 | [ 涡激振动] ( https://paddlescience- docs.readthedocs.io /zh/latest/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 ) |
55+ | 多相流 | [ 气液两相流] ( https://paddlescience- docs.readthedocs.io /zh/latest/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 ) |
5656| 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 ) |
5757| 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 ) |
58- | 流场高分辨率重构 | [ 2D 湍流流场重构] ( ./ docs/zh/examples/tempoGAN.md ) | 数据驱动 | tempoGAN | 监督学习 | [ Train Data] ( https://paddle-org.bj.bcebos.com/paddlescience/datasets/tempoGAN/2d_train.mat ) <br >[ Eval Data] ( https://paddle-org.bj.bcebos.com/paddlescience/datasets/tempoGAN/2d_valid.mat ) | [ Paper] ( https://dl.acm.org/doi/10.1145/3197517.3201304 ) |
58+ | 流场高分辨率重构 | [ 2D 湍流流场重构] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/tempoGAN) | 数据驱动 | tempoGAN | 监督学习 | [ Train Data] ( https://paddle-org.bj.bcebos.com/paddlescience/datasets/tempoGAN/2d_train.mat ) <br >[ Eval Data] ( https://paddle-org.bj.bcebos.com/paddlescience/datasets/tempoGAN/2d_valid.mat ) | [ Paper] ( https://dl.acm.org/doi/10.1145/3197517.3201304 ) |
5959| 流场高分辨率重构 | [ 2D 湍流流场重构] ( https://aistudio.baidu.com/projectdetail/4493261?contributionType=1 ) | 数据驱动 | cycleGAN | 监督学习 | [ Train Data] ( https://paddle-org.bj.bcebos.com/paddlescience/datasets/tempoGAN/2d_train.mat ) <br >[ Eval Data] ( https://paddle-org.bj.bcebos.com/paddlescience/datasets/tempoGAN/2d_valid.mat ) | [ Paper] ( https://arxiv.org/abs/2007.15324 ) |
6060| 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 ) |
6161| 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 ) |
62- | 求解器耦合 | [ CFD-GCN] ( ./ docs/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 ) |
62+ | 求解器耦合 | [ CFD-GCN] ( https://paddlescience- docs.readthedocs.io /zh/latest/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 ) |
6363| 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 | - | - |
6464| 受力分析 | [ 2D 平板变形] ( https://aistudio.baidu.com/aistudio/projectdetail/5792325 ) | 机理驱动 | MLP | 无监督学习 | - | - |
65- | 受力分析 | [ 3D 连接件变形] ( ./ docs/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 ) |
66- | 受力分析 | [ 结构震动模拟] ( ./ docs/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 ) |
65+ | 受力分析 | [ 3D 连接件变形] ( https://paddlescience- docs.readthedocs.io /zh/latest/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 ) |
66+ | 受力分析 | [ 结构震动模拟] ( https://paddlescience- docs.readthedocs.io /zh/latest/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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6868<br >
6969<p align =" center " ><b >材料科学(AI for Material)</b ></p >
@@ -78,7 +78,7 @@ PaddleScience 是一个基于深度学习框架 PaddlePaddle 开发的科学计
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7979| 问题类型 | 案例名称 | 优化算法 | 模型类型 | 训练方式 | 数据集 | 参考资料 |
8080| -----| ---------| -----| ---------| ----| ---------| ---------|
81- | 天气预报 | [ FourCastNet 气象预报] ( ./ docs/zh/examples/fourcastnet.md ) | 数据驱动 | FourCastNet | 监督学习 | [ ERA5] ( https://app.globus.org/file-manager?origin_id=945b3c9e-0f8c-11ed-8daf-9f359c660fbd&origin_path=%2F~%2Fdata%2F ) | [ Paper] ( https://arxiv.org/pdf/2202.11214.pdf ) |
81+ | 天气预报 | [ FourCastNet 气象预报] ( https://paddlescience- docs.readthedocs.io /zh/latest/zh/ examples/fourcastnet) | 数据驱动 | FourCastNet | 监督学习 | [ ERA5] ( https://app.globus.org/file-manager?origin_id=945b3c9e-0f8c-11ed-8daf-9f359c660fbd&origin_path=%2F~%2Fdata%2F ) | [ Paper] ( https://arxiv.org/pdf/2202.11214.pdf ) |
8282| 天气预报 | GraphCast 气象预报<sup >coming soon</sup > | 数据驱动 | GraphCastNet* | 监督学习 | - | [ Paper] ( https://arxiv.org/pdf/2202.11214.pdf ) |
8383| 大气污染物 | [ UNet 污染物扩散] ( https://aistudio.baidu.com/projectdetail/5663515?channel=0&channelType=0&sUid=438690&shared=1&ts=1698221963752 ) | 数据驱动 | UNet | 监督学习 | [ Data] ( https://aistudio.baidu.com/datasetdetail/198102 ) | - |
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