├── .gitignore ├── LICENSE ├── README.md ├── app ├── README.md ├── aggregate.sh ├── index.html ├── package-lock.json ├── package.json ├── postcss.config.cjs ├── rom-app-aggregated.txt ├── src │ ├── App.tsx │ ├── components │ │ └── ResearchTimelineApp.tsx │ ├── index.css │ └── main.tsx ├── styles.css ├── tailwind.config.cjs ├── tsconfig.json └── vite.config.ts ├── docs ├── assets │ ├── index-116e1e88.js │ └── index-95a7de50.css └── index.html ├── notebooks ├── DL_ROM_NOAA2D.ipynb ├── DeepONet_Burgers1D.ipynb ├── FNO_Burgers1D.ipynb ├── POD-DL-ROM_Burgers1D.ipynb └── PODDLROM_Burgers1D.ipynb └── requirements.txt /.gitignore: -------------------------------------------------------------------------------- 1 | # Byte-compiled / optimized / DLL files 2 | __pycache__/ 3 | *.py[cod] 4 | *$py.class 5 | 6 | # C extensions 7 | *.so 8 | 9 | # Distribution / packaging 10 | .Python 11 | build/ 12 | develop-eggs/ 13 | dist/ 14 | downloads/ 15 | eggs/ 16 | .eggs/ 17 | lib/ 18 | lib64/ 19 | parts/ 20 | sdist/ 21 | var/ 22 | wheels/ 23 | share/python-wheels/ 24 | *.egg-info/ 25 | .installed.cfg 26 | *.egg 27 | MANIFEST 28 | 29 | # PyInstaller 30 | # Usually these files are written by a python script from a template 31 | # before PyInstaller builds the exe, so as to inject date/other infos into it. 32 | *.manifest 33 | *.spec 34 | 35 | # Installer logs 36 | pip-log.txt 37 | pip-delete-this-directory.txt 38 | 39 | # Unit test / coverage reports 40 | htmlcov/ 41 | .tox/ 42 | .nox/ 43 | .coverage 44 | .coverage.* 45 | .cache 46 | nosetests.xml 47 | coverage.xml 48 | *.cover 49 | *.py,cover 50 | .hypothesis/ 51 | .pytest_cache/ 52 | cover/ 53 | 54 | # Translations 55 | *.mo 56 | *.pot 57 | 58 | # Django stuff: 59 | *.log 60 | local_settings.py 61 | db.sqlite3 62 | db.sqlite3-journal 63 | 64 | # Flask stuff: 65 | instance/ 66 | .webassets-cache 67 | 68 | # Scrapy stuff: 69 | .scrapy 70 | 71 | # Sphinx documentation 72 | docs/_build/ 73 | 74 | # PyBuilder 75 | .pybuilder/ 76 | target/ 77 | 78 | # Jupyter Notebook 79 | .ipynb_checkpoints 80 | 81 | # IPython 82 | profile_default/ 83 | ipython_config.py 84 | 85 | # pyenv 86 | # For a library or package, you might want to ignore these files since the code is 87 | # intended to run in multiple environments; otherwise, check them in: 88 | # .python-version 89 | 90 | # pipenv 91 | # According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control. 92 | # However, in case of collaboration, if having platform-specific dependencies or dependencies 93 | # having no cross-platform support, pipenv may install dependencies that don't work, or not 94 | # install all needed dependencies. 95 | #Pipfile.lock 96 | 97 | # poetry 98 | # Similar to Pipfile.lock, it is generally recommended to include poetry.lock in version control. 99 | # This is especially recommended for binary packages to ensure reproducibility, and is more 100 | # commonly ignored for libraries. 101 | # https://python-poetry.org/docs/basic-usage/#commit-your-poetrylock-file-to-version-control 102 | #poetry.lock 103 | 104 | # pdm 105 | # Similar to Pipfile.lock, it is generally recommended to include pdm.lock in version control. 106 | #pdm.lock 107 | # pdm stores project-wide configurations in .pdm.toml, but it is recommended to not include it 108 | # in version control. 109 | # https://pdm.fming.dev/#use-with-ide 110 | .pdm.toml 111 | 112 | # PEP 582; used by e.g. github.com/David-OConnor/pyflow and github.com/pdm-project/pdm 113 | __pypackages__/ 114 | 115 | # Celery stuff 116 | celerybeat-schedule 117 | celerybeat.pid 118 | 119 | # SageMath parsed files 120 | *.sage.py 121 | 122 | # Environments 123 | .env 124 | .venv 125 | env/ 126 | venv/ 127 | ENV/ 128 | env.bak/ 129 | venv.bak/ 130 | 131 | # Spyder project settings 132 | .spyderproject 133 | .spyproject 134 | 135 | # Rope project settings 136 | .ropeproject 137 | 138 | # mkdocs documentation 139 | /site 140 | 141 | # mypy 142 | .mypy_cache/ 143 | .dmypy.json 144 | dmypy.json 145 | 146 | # Pyre type checker 147 | .pyre/ 148 | 149 | # pytype static type analyzer 150 | .pytype/ 151 | 152 | # Cython debug symbols 153 | cython_debug/ 154 | 155 | # PyCharm 156 | # JetBrains specific template is maintained in a separate JetBrains.gitignore that can 157 | # be found at https://github.com/github/gitignore/blob/main/Global/JetBrains.gitignore 158 | # and can be added to the global gitignore or merged into this file. For a more nuclear 159 | # option (not recommended) you can uncomment the following to ignore the entire idea folder. 160 | #.idea/ 161 | 162 | 163 | # node modules from all subfolders 164 | /node_modules/ 165 | **/node_modules/ 166 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) 2023 rfarell 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Reduced Order Modeling Tutorials 2 | 3 | ## Background and Objectives 4 | 5 | This repository is a curated collection of tutorials that delve into various reduced-order modeling techniques. Utilizing Jupyter Notebooks as the instructional medium, these tutorials provide an interactive, hands-on approach to understanding complex computational models like DeepONet, FNO, POD-DL-ROM, and DL-ROM. Each notebook is designed to function as a standalone tutorial and includes provisions for automatic data retrieval, facilitating execution on both local machines and Google Colab environments. 6 | 7 | --- 8 | 9 | ## Installation and Requirements 10 | 11 | To execute the tutorials, certain Python packages must be installed. This can be done by executing the following command: 12 | 13 | ```bash 14 | pip install -r requirements.txt 15 | ``` 16 | 17 | --- 18 | 19 | ## Current Model Coverage 20 | > Li, Z., Kovachki, N., Azizzadenesheli, K., Liu, B., Bhattacharya, K., Stuart, A., & Anandkumar, A. (2020). Fourier neural operator for parametric partial differential equations. arXiv preprint arXiv:2010.08895. [Paper](https://arxiv.org/abs/2010.08895) 21 | 22 | > Lu, L., Jin, P., & Karniadakis, G. E. (2019). Deeponet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators. arXiv preprint arXiv:1910.03193. [Paper](https://arxiv.org/abs/1910.03193) 23 | 24 | > Fresca, S., & Manzoni, A. (2022). POD-DL-ROM: Enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition. Computer Methods in Applied Mechanics and Engineering, 388, 114181. [Paper](https://www.sciencedirect.com/science/article/pii/S0045782521005120) 25 | 26 | > Pant, P., Doshi, R., Bahl, P., & Barati Farimani, A. (2021). Deep learning for reduced order modelling and efficient temporal evolution of fluid simulations. Physics of Fluids, 33(10). [Paper](https://arxiv.org/abs/2107.04556) 27 | 28 | --- 29 | 30 | ## Notebook Naming Convention 31 | 32 | In order to facilitate ease of navigation and comprehension, a standard naming schema has been adopted for the Jupyter notebooks: 33 | 34 | ``` 35 | [Model]_[Equation/Problem+Dimension]_[TAG].ipynb 36 | ``` 37 | 38 | - **Model**: Represents the computational model or algorithm under study (e.g., FNO, DLROM). 39 | - **Equation/Problem+Dimension**: Specifies the mathematical problem or equation being solved along with its spatial dimensions (e.g., Burgers1D, NOAA2D). 40 | - **TAG**: An optional identifier providing supplementary context or categorizing the notebook's difficulty level or specific focus (e.g., Intro, Advanced, DataPrep). 41 | 42 | --- 43 | 44 | ## Interactive Colab Notebooks 45 | 46 | For users interested in a more interactive learning experience, Google Colab versions of these tutorials are available. Click the links below to open the Colab notebooks: 47 | - 📔 [FNO_Burgers1D](https://colab.research.google.com/github/rfarell/Reduced-Order-Modeling-Tutorials/blob/main/notebooks/FNO_Burgers1D.ipynb) 48 | - 📔 [DeepONet_Burgers1D](https://colab.research.google.com/github/rfarell/Reduced-Order-Modeling-Tutorials/blob/main/notebooks/DeepONet_Burgers1D.ipynb) 49 | - 📔 [POD-DL-ROM_Burgers1D](https://colab.research.google.com/github/rfarell/Reduced-Order-Modeling-Tutorials/blob/main/notebooks/POD-DL-ROM_Burgers1D.ipynb) 50 | 51 | --- 52 | 53 | ## Data Sources 54 | 55 | The datasets required for the tutorials are automatically fetched during runtime. 56 | 57 | --- 58 | 59 | ## License 60 | 61 | This repository is under the MIT License. Details can be found in the `LICENSE` file. -------------------------------------------------------------------------------- /app/README.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/rfarell/Reduced-Order-Modeling-Tutorials/f80d2ce33a82dd59833dace0a2e3fe74f5c28d1a/app/README.md -------------------------------------------------------------------------------- /app/aggregate.sh: -------------------------------------------------------------------------------- 1 | #!/usr/bin/env bash 2 | 3 | OUTPUT_FILE="rom-app-aggregated.txt" 4 | 5 | # Remove existing output file (if any) 6 | rm -f "$OUTPUT_FILE" 7 | 8 | # 1) Show a tree of the project, excluding certain directories/files 9 | # -I pattern uses '|' to separate multiple exclusions 10 | echo "===== Tree of the project =====" >> "$OUTPUT_FILE" 11 | tree -I "node_modules|build|.git|aggregate.sh|rom-app-aggregated.txt|package-lock.json|.next|.vercel" >> "$OUTPUT_FILE" 12 | echo -e "\n" >> "$OUTPUT_FILE" 13 | 14 | # 2) Find all files (not directories) excluding node_modules, build, .git, etc. 15 | echo "===== Concatenated Files =====" >> "$OUTPUT_FILE" 16 | FILES=$(find . -type f \ 17 | -not -path "*/node_modules/*" \ 18 | -not -path "*/build/*" \ 19 | -not -path "*/.next/*" \ 20 | -not -path "*/.vercel/*" \ 21 | -not -path "*/.git/*" \ 22 | -not -name "aggregate.sh" \ 23 | -not -name "rom-app-aggregated.txt" \ 24 | -not -name "package-lock.json") 25 | 26 | for FILE in $FILES; do 27 | echo "===== $FILE =====" >> "$OUTPUT_FILE" 28 | cat "$FILE" >> "$OUTPUT_FILE" 29 | echo -e "\n" >> "$OUTPUT_FILE" 30 | done 31 | 32 | echo "Done! Created '$OUTPUT_FILE' with all relevant files." 33 | -------------------------------------------------------------------------------- /app/index.html: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | Research Timeline 6 | 7 | 8 | 9 | 10 | 11 |
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/app/package.json: -------------------------------------------------------------------------------- 1 | { 2 | "name": "my-react-tailwind-app", 3 | "version": "1.0.0", 4 | "description": "A minimal React + Tailwind CSS project configured for GitHub Pages.", 5 | "scripts": { 6 | "dev": "vite", 7 | "build": "vite build", 8 | "serve": "vite preview" 9 | }, 10 | "dependencies": { 11 | "react": "^18.2.0", 12 | "react-dom": "^18.2.0" 13 | }, 14 | "devDependencies": { 15 | "@heroicons/react": "^2.0.13", 16 | "@types/react": "^18.0.28", 17 | "@types/react-dom": "^18.0.11", 18 | "@vitejs/plugin-react": "^4.3.4", 19 | "autoprefixer": "^10.4.14", 20 | "postcss": "^8.4.21", 21 | "tailwindcss": "^3.2.7", 22 | "typescript": "^4.9.5", 23 | "vite": "^4.0.4" 24 | } 25 | } 26 | -------------------------------------------------------------------------------- /app/postcss.config.cjs: -------------------------------------------------------------------------------- 1 | module.exports = { 2 | plugins: { 3 | tailwindcss: {}, 4 | autoprefixer: {} 5 | } 6 | }; 7 | -------------------------------------------------------------------------------- /app/rom-app-aggregated.txt: -------------------------------------------------------------------------------- 1 | ===== Tree of the project ===== 2 | . 3 | ├── README.md 4 | ├── index.html 5 | ├── package.json 6 | ├── postcss.config.cjs 7 | ├── src 8 | │   ├── App.tsx 9 | │   ├── components 10 | │   │   └── ResearchTimelineApp.tsx 11 | │   ├── index.css 12 | │   └── main.tsx 13 | ├── styles.css 14 | ├── tailwind.config.cjs 15 | ├── tsconfig.json 16 | └── vite.config.ts 17 | 18 | 3 directories, 12 files 19 | 20 | 21 | ===== Concatenated Files ===== 22 | ===== ./index.html ===== 23 | 24 | 25 | 26 | 27 | Research Timeline 28 | 29 | 30 | 31 | 32 | 33 |
34 | 35 | 36 | 37 | 38 | 39 | ===== ./styles.css ===== 40 | /* Optional global styles to complement Tailwind. */ 41 | 42 | /* Basic Reset and Global Styles */ 43 | * { 44 | margin: 0; 45 | padding: 0; 46 | box-sizing: border-box; 47 | } 48 | 49 | body { 50 | font-family: "Helvetica Neue", Arial, sans-serif; 51 | background: #fafafa; 52 | color: #333; 53 | line-height: 1.6; 54 | } 55 | 56 | /* Example container layout */ 57 | .container { 58 | max-width: 900px; 59 | margin: 0 auto; 60 | padding: 1.5rem; 61 | background-color: #ffffff; 62 | box-shadow: 0 1px 3px rgba(0,0,0,0.1); 63 | border-radius: 5px; 64 | } 65 | 66 | /* Headings */ 67 | header h1 { 68 | font-size: 2rem; 69 | margin-bottom: 0.5rem; 70 | color: #2c3e50; 71 | } 72 | 73 | .subtitle { 74 | font-size: 1.1rem; 75 | color: #555; 76 | margin-bottom: 1rem; 77 | } 78 | 79 | section { 80 | margin-bottom: 1rem; 81 | } 82 | 83 | /* Horizontal Rule (section divider) */ 84 | hr { 85 | margin: 2rem 0; 86 | border: none; 87 | height: 1px; 88 | background: #ddd; 89 | } 90 | 91 | /* Simple link styling */ 92 | a { 93 | color: #3498db; 94 | text-decoration: none; 95 | } 96 | a:hover { 97 | text-decoration: underline; 98 | } 99 | 100 | 101 | ===== ./postcss.config.cjs ===== 102 | module.exports = { 103 | plugins: { 104 | tailwindcss: {}, 105 | autoprefixer: {} 106 | } 107 | }; 108 | 109 | 110 | ===== ./README.md ===== 111 | 112 | 113 | ===== ./tailwind.config.cjs ===== 114 | /** @type {import('tailwindcss').Config} */ 115 | module.exports = { 116 | content: [ 117 | './index.html', 118 | './src/**/*.{ts,tsx,js,jsx}' 119 | ], 120 | theme: { 121 | extend: {} 122 | }, 123 | plugins: [] 124 | }; 125 | 126 | 127 | ===== ./package.json ===== 128 | { 129 | "name": "my-react-tailwind-app", 130 | "version": "1.0.0", 131 | "description": "A minimal React + Tailwind CSS project configured for GitHub Pages.", 132 | "scripts": { 133 | "dev": "vite", 134 | "build": "vite build", 135 | "serve": "vite preview" 136 | }, 137 | "dependencies": { 138 | "react": "^18.2.0", 139 | "react-dom": "^18.2.0" 140 | }, 141 | "devDependencies": { 142 | "@heroicons/react": "^2.0.13", 143 | "@types/react": "^18.0.28", 144 | "@types/react-dom": "^18.0.11", 145 | "@vitejs/plugin-react": "^4.3.4", 146 | "autoprefixer": "^10.4.14", 147 | "postcss": "^8.4.21", 148 | "tailwindcss": "^3.2.7", 149 | "typescript": "^4.9.5", 150 | "vite": "^4.0.4" 151 | } 152 | } 153 | 154 | 155 | ===== ./tsconfig.json ===== 156 | { 157 | "compilerOptions": { 158 | "target": "ESNext", 159 | "lib": ["DOM", "DOM.Iterable", "ESNext"], 160 | "allowJs": false, 161 | "skipLibCheck": true, 162 | "strict": true, 163 | "module": "ESNext", 164 | "moduleResolution": "Node", 165 | "resolveJsonModule": true, 166 | "isolatedModules": true, 167 | "jsx": "react-jsx", 168 | "noEmit": true, 169 | "baseUrl": ".", 170 | "paths": { 171 | "@/*": ["./src/*"] 172 | } 173 | }, 174 | "include": [ 175 | "src/**/*.ts", 176 | "src/**/*.tsx" 177 | ], 178 | "exclude": [ 179 | "node_modules", 180 | "dist" 181 | ] 182 | } 183 | 184 | ===== ./vite.config.ts ===== 185 | // app/vite.config.ts 186 | import { defineConfig } from 'vite'; 187 | import react from '@vitejs/plugin-react'; 188 | 189 | export default defineConfig({ 190 | plugins: [react()], 191 | 192 | build: { 193 | // Output the build files to the top-level `docs/` folder 194 | outDir: '../docs' 195 | }, 196 | 197 | // If you plan to serve from a sub-path like username.github.io/my-repo, 198 | // set the base property accordingly, e.g.: 199 | // base: '/my-repo/', 200 | }); 201 | 202 | 203 | ===== ./src/App.tsx ===== 204 | import React from 'react'; 205 | import ResearchTimelineApp from './components/ResearchTimelineApp'; 206 | 207 | const App: React.FC = () => { 208 | return ; 209 | }; 210 | 211 | export default App; 212 | 213 | 214 | ===== ./src/main.tsx ===== 215 | import React from 'react'; 216 | import ReactDOM from 'react-dom/client'; 217 | 218 | // Tailwind base + utilities 219 | import './index.css'; 220 | 221 | // Optional extra user-defined CSS (styles.css in the project root) 222 | import '../styles.css'; 223 | 224 | import App from './App'; 225 | 226 | ReactDOM.createRoot(document.getElementById('root') as HTMLElement).render( 227 | 228 | 229 | 230 | ); 231 | 232 | 233 | ===== ./src/index.css ===== 234 | @tailwind base; 235 | @tailwind components; 236 | @tailwind utilities; 237 | 238 | /* You can add global overrides or layer directives here if needed. */ 239 | 240 | 241 | ===== ./src/components/ResearchTimelineApp.tsx ===== 242 | import React, { useState } from 'react'; 243 | import { 244 | DocumentTextIcon, 245 | BeakerIcon, 246 | ChartBarIcon 247 | } from '@heroicons/react/24/outline'; 248 | 249 | interface TimelineItem { 250 | year: number; 251 | title: string; 252 | description: string; 253 | color: string; 254 | link: string; 255 | } 256 | 257 | const ResearchTimelineApp: React.FC = () => { 258 | // We'll have three main sections in the sidebar: 259 | // 1) coverage -> "Current Model Coverage" 260 | // 2) naming -> "Notebook Naming Convention" 261 | // 3) colab -> "Interactive Colab Notebooks" 262 | const [activeSection, setActiveSection] = useState('coverage'); 263 | 264 | // Updated references in the timeline 265 | // You can click each timeline milestone if you want to implement that. 266 | // Right now they are static items displayed on the left panel. 267 | const timelineData: TimelineItem[] = [ 268 | { 269 | year: 2020, 270 | title: 'Li et al. (2020)', 271 | description: 'Fourier Neural Operator for parametric PDEs', 272 | color: 'bg-blue-100', 273 | link: 'https://arxiv.org/abs/2010.08895' 274 | }, 275 | { 276 | year: 2019, 277 | title: 'Lu et al. (2019)', 278 | description: 'DeepONet: Learning nonlinear operators for PDEs', 279 | color: 'bg-green-100', 280 | link: 'https://arxiv.org/abs/1910.03193' 281 | }, 282 | { 283 | year: 2022, 284 | title: 'Fresca & Manzoni (2022)', 285 | description: 'POD-DL-ROM for nonlinear PDEs', 286 | color: 'bg-purple-100', 287 | link: 'https://www.sciencedirect.com/science/article/pii/S0045782521005120' 288 | }, 289 | { 290 | year: 2021, 291 | title: 'Pant et al. (2021)', 292 | description: 'Deep learning for reduced-order fluid sims', 293 | color: 'bg-red-100', 294 | link: 'https://arxiv.org/abs/2107.04556' 295 | } 296 | ]; 297 | 298 | // Renders main content for whichever section is active. 299 | const renderContent = () => { 300 | switch (activeSection) { 301 | case 'coverage': 302 | // Display the "Current Model Coverage" from your README 303 | return ( 304 |
305 |

Current Model Coverage

306 |
307 |

308 | Li, Z., Kovachki, N., Azizzadenesheli, K., Liu, B., Bhattacharya, K., 309 | Stuart, A., & Anandkumar, A. (2020). Fourier neural operator 310 | for parametric partial differential equations. arXiv preprint 311 | 315 | arXiv:2010.08895 316 | 317 |

318 |

319 | Lu, L., Jin, P., & Karniadakis, G. E. (2019). Deeponet: 320 | Learning nonlinear operators for identifying differential equations 321 | based on the universal approximation theorem of operators. 322 | arXiv preprint 323 | 327 | arXiv:1910.03193 328 | 329 |

330 |

331 | Fresca, S., & Manzoni, A. (2022). POD-DL-ROM: Enhancing 332 | deep learning-based reduced order models for nonlinear parametrized PDEs 333 | by proper orthogonal decomposition. Computer Methods in Applied 334 | Mechanics and Engineering, 388, 114181. 335 | 339 | Paper 340 | 341 |

342 |

343 | Pant, P., Doshi, R., Bahl, P., & Barati Farimani, A. (2021). 344 | Deep learning for reduced order modelling and efficient temporal evolution 345 | of fluid simulations. Physics of Fluids, 33(10). 346 | 350 | Paper 351 | 352 |

353 |
354 |
355 | ); 356 | 357 | case 'naming': 358 | // Display the "Notebook Naming Convention" section 359 | return ( 360 |
361 |

Notebook Naming Convention

362 |

363 | In order to facilitate ease of navigation and comprehension, a standard 364 | naming schema has been adopted for the Jupyter notebooks: 365 |

366 | 
367 | {`[Model]_[Equation/Problem+Dimension]_[TAG].ipynb`}
368 |
369 |
    370 |
  • 371 | Model: Represents the computational model or algorithm 372 | under study (e.g., FNO, DLROM). 373 |
    • 374 |
  • 375 | Equation/Problem+Dimension: Specifies the mathematical 376 | problem or equation being solved along with its spatial dimensions 377 | (e.g., Burgers1D, NOAA2D). 378 |
    • 379 |
  • 380 | TAG: An optional identifier providing supplementary 381 | context or categorizing the notebook’s difficulty level or specific 382 | focus (e.g., Intro, Advanced, DataPrep). 383 |
    • 384 |
385 |
386 | ); 387 | 388 | case 'colab': 389 | // Display the "Interactive Colab Notebooks" section 390 | return ( 391 |
392 |

Interactive Colab Notebooks

393 |

394 | For users interested in a more interactive learning experience, Google 395 | Colab versions of these tutorials are available: 396 |

397 | 432 |
433 | ); 434 | 435 | default: 436 | return null; 437 | } 438 | }; 439 | 440 | return ( 441 |
442 | {/* Sidebar with Timeline */} 443 |
444 |
445 |

Reduced-Order Modeling

446 |
447 | 448 | {/* Navigation Menu */} 449 | 469 | 470 | {/* Timeline Section */} 471 |
472 |

Timeline of Papers

473 |
474 | {timelineData.map((item, index) => ( 475 |
476 | {/* Year bubble */} 477 |
480 | {item.year} 481 |
482 | {/* Paper info */} 483 |
484 |

485 | {item.title} 486 |

487 |

{item.description}

488 | 494 | View Paper 495 | 496 |
497 |
498 | ))} 499 |
500 |
501 |
502 | 503 | {/* Main Content */} 504 |
505 | {renderContent()} 506 |
507 |
508 | ); 509 | }; 510 | 511 | export default ResearchTimelineApp; 512 | 513 | 514 | -------------------------------------------------------------------------------- /app/src/App.tsx: -------------------------------------------------------------------------------- 1 | import React from 'react'; 2 | import ResearchTimelineApp from './components/ResearchTimelineApp'; 3 | 4 | const App: React.FC = () => { 5 | return ; 6 | }; 7 | 8 | export default App; 9 | -------------------------------------------------------------------------------- /app/src/components/ResearchTimelineApp.tsx: -------------------------------------------------------------------------------- 1 | import React, { useState } from 'react'; 2 | import { 3 | DocumentTextIcon, 4 | BeakerIcon, 5 | ChartBarIcon 6 | } from '@heroicons/react/24/outline'; 7 | 8 | interface TimelineItem { 9 | year: number; 10 | title: string; 11 | description: string; 12 | color: string; 13 | link: string; 14 | } 15 | 16 | const ResearchTimelineApp: React.FC = () => { 17 | // We'll have three main sections in the sidebar: 18 | // 1) coverage -> "Current Model Coverage" 19 | // 2) naming -> "Notebook Naming Convention" 20 | // 3) colab -> "Interactive Colab Notebooks" 21 | const [activeSection, setActiveSection] = useState('coverage'); 22 | 23 | // Updated references in the timeline 24 | // You can click each timeline milestone if you want to implement that. 25 | // Right now they are static items displayed on the left panel. 26 | const timelineData: TimelineItem[] = [ 27 | { 28 | year: 2020, 29 | title: 'Li et al. (2020)', 30 | description: 'Fourier Neural Operator for parametric PDEs', 31 | color: 'bg-blue-100', 32 | link: 'https://arxiv.org/abs/2010.08895' 33 | }, 34 | { 35 | year: 2019, 36 | title: 'Lu et al. (2019)', 37 | description: 'DeepONet: Learning nonlinear operators for PDEs', 38 | color: 'bg-green-100', 39 | link: 'https://arxiv.org/abs/1910.03193' 40 | }, 41 | { 42 | year: 2022, 43 | title: 'Fresca & Manzoni (2022)', 44 | description: 'POD-DL-ROM for nonlinear PDEs', 45 | color: 'bg-purple-100', 46 | link: 'https://www.sciencedirect.com/science/article/pii/S0045782521005120' 47 | }, 48 | { 49 | year: 2021, 50 | title: 'Pant et al. (2021)', 51 | description: 'Deep learning for reduced-order fluid sims', 52 | color: 'bg-red-100', 53 | link: 'https://arxiv.org/abs/2107.04556' 54 | } 55 | ]; 56 | 57 | // Renders main content for whichever section is active. 58 | const renderContent = () => { 59 | switch (activeSection) { 60 | case 'coverage': 61 | // Display the "Current Model Coverage" from your README 62 | return ( 63 |
64 |

Current Model Coverage

65 |
66 |

67 | Li, Z., Kovachki, N., Azizzadenesheli, K., Liu, B., Bhattacharya, K., 68 | Stuart, A., & Anandkumar, A. (2020). Fourier neural operator 69 | for parametric partial differential equations. arXiv preprint 70 | 74 | arXiv:2010.08895 75 | 76 |

77 |

78 | Lu, L., Jin, P., & Karniadakis, G. E. (2019). Deeponet: 79 | Learning nonlinear operators for identifying differential equations 80 | based on the universal approximation theorem of operators. 81 | arXiv preprint 82 | 86 | arXiv:1910.03193 87 | 88 |

89 |

90 | Fresca, S., & Manzoni, A. (2022). POD-DL-ROM: Enhancing 91 | deep learning-based reduced order models for nonlinear parametrized PDEs 92 | by proper orthogonal decomposition. Computer Methods in Applied 93 | Mechanics and Engineering, 388, 114181. 94 | 98 | Paper 99 | 100 |

101 |

102 | Pant, P., Doshi, R., Bahl, P., & Barati Farimani, A. (2021). 103 | Deep learning for reduced order modelling and efficient temporal evolution 104 | of fluid simulations. Physics of Fluids, 33(10). 105 | 109 | Paper 110 | 111 |

112 |
113 |
114 | ); 115 | 116 | case 'naming': 117 | // Display the "Notebook Naming Convention" section 118 | return ( 119 |
120 |

Notebook Naming Convention

121 |

122 | In order to facilitate ease of navigation and comprehension, a standard 123 | naming schema has been adopted for the Jupyter notebooks: 124 |

125 | 
126 | {`[Model]_[Equation/Problem+Dimension]_[TAG].ipynb`}
127 |
128 |
    129 |
  • 130 | Model: Represents the computational model or algorithm 131 | under study (e.g., FNO, DLROM). 132 |
    • 133 |
  • 134 | Equation/Problem+Dimension: Specifies the mathematical 135 | problem or equation being solved along with its spatial dimensions 136 | (e.g., Burgers1D, NOAA2D). 137 |
    • 138 |
  • 139 | TAG: An optional identifier providing supplementary 140 | context or categorizing the notebook’s difficulty level or specific 141 | focus (e.g., Intro, Advanced, DataPrep). 142 |
    • 143 |
144 |
145 | ); 146 | 147 | case 'colab': 148 | // Display the "Interactive Colab Notebooks" section 149 | return ( 150 |
151 |

Interactive Colab Notebooks

152 |

153 | For users interested in a more interactive learning experience, Google 154 | Colab versions of these tutorials are available: 155 |

156 | 191 |
192 | ); 193 | 194 | default: 195 | return null; 196 | } 197 | }; 198 | 199 | return ( 200 |
201 | {/* Sidebar with Timeline */} 202 |
203 |
204 |

Reduced-Order Modeling

205 |
206 | 207 | {/* Navigation Menu */} 208 | 228 | 229 | {/* Timeline Section */} 230 |
231 |

Timeline of Papers

232 |
233 | {timelineData.map((item, index) => ( 234 |
235 | {/* Year bubble */} 236 |
239 | {item.year} 240 |
241 | {/* Paper info */} 242 |
243 |

244 | {item.title} 245 |

246 |

{item.description}

247 | 253 | View Paper 254 | 255 |
256 |
257 | ))} 258 |
259 |
260 |
261 | 262 | {/* Main Content */} 263 |
264 | {renderContent()} 265 |
266 |
267 | ); 268 | }; 269 | 270 | export default ResearchTimelineApp; 271 | -------------------------------------------------------------------------------- /app/src/index.css: -------------------------------------------------------------------------------- 1 | @tailwind base; 2 | @tailwind components; 3 | @tailwind utilities; 4 | 5 | /* You can add global overrides or layer directives here if needed. */ 6 | -------------------------------------------------------------------------------- /app/src/main.tsx: -------------------------------------------------------------------------------- 1 | import React from 'react'; 2 | import ReactDOM from 'react-dom/client'; 3 | 4 | // Tailwind base + utilities 5 | import './index.css'; 6 | 7 | // Optional extra user-defined CSS (styles.css in the project root) 8 | import '../styles.css'; 9 | 10 | import App from './App'; 11 | 12 | ReactDOM.createRoot(document.getElementById('root') as HTMLElement).render( 13 | 14 | 15 | 16 | ); 17 | -------------------------------------------------------------------------------- /app/styles.css: -------------------------------------------------------------------------------- 1 | /* Optional global styles to complement Tailwind. */ 2 | 3 | /* Basic Reset and Global Styles */ 4 | * { 5 | margin: 0; 6 | padding: 0; 7 | box-sizing: border-box; 8 | } 9 | 10 | body { 11 | font-family: "Helvetica Neue", Arial, sans-serif; 12 | background: #fafafa; 13 | color: #333; 14 | line-height: 1.6; 15 | } 16 | 17 | /* Example container layout */ 18 | .container { 19 | max-width: 900px; 20 | margin: 0 auto; 21 | padding: 1.5rem; 22 | background-color: #ffffff; 23 | box-shadow: 0 1px 3px rgba(0,0,0,0.1); 24 | border-radius: 5px; 25 | } 26 | 27 | /* Headings */ 28 | header h1 { 29 | font-size: 2rem; 30 | margin-bottom: 0.5rem; 31 | color: #2c3e50; 32 | } 33 | 34 | .subtitle { 35 | font-size: 1.1rem; 36 | color: #555; 37 | margin-bottom: 1rem; 38 | } 39 | 40 | section { 41 | margin-bottom: 1rem; 42 | } 43 | 44 | /* Horizontal Rule (section divider) */ 45 | hr { 46 | margin: 2rem 0; 47 | border: none; 48 | height: 1px; 49 | background: #ddd; 50 | } 51 | 52 | /* Simple link styling */ 53 | a { 54 | color: #3498db; 55 | text-decoration: none; 56 | } 57 | a:hover { 58 | text-decoration: underline; 59 | } 60 | -------------------------------------------------------------------------------- /app/tailwind.config.cjs: -------------------------------------------------------------------------------- 1 | /** @type {import('tailwindcss').Config} */ 2 | module.exports = { 3 | content: [ 4 | './index.html', 5 | './src/**/*.{ts,tsx,js,jsx}' 6 | ], 7 | theme: { 8 | extend: {} 9 | }, 10 | plugins: [] 11 | }; 12 | -------------------------------------------------------------------------------- /app/tsconfig.json: -------------------------------------------------------------------------------- 1 | { 2 | "compilerOptions": { 3 | "target": "ESNext", 4 | "lib": ["DOM", "DOM.Iterable", "ESNext"], 5 | "allowJs": false, 6 | "skipLibCheck": true, 7 | "strict": true, 8 | "module": "ESNext", 9 | "moduleResolution": "Node", 10 | "resolveJsonModule": true, 11 | "isolatedModules": true, 12 | "jsx": "react-jsx", 13 | "noEmit": true, 14 | "baseUrl": ".", 15 | "paths": { 16 | "@/*": ["./src/*"] 17 | } 18 | }, 19 | "include": [ 20 | "src/**/*.ts", 21 | "src/**/*.tsx" 22 | ], 23 | "exclude": [ 24 | "node_modules", 25 | "dist" 26 | ] 27 | } -------------------------------------------------------------------------------- /app/vite.config.ts: -------------------------------------------------------------------------------- 1 | // app/vite.config.ts 2 | import { defineConfig } from 'vite'; 3 | import react from '@vitejs/plugin-react'; 4 | 5 | export default defineConfig({ 6 | plugins: [react()], 7 | 8 | // "base" must match your GitHub repo name 9 | base: '/Reduced-Order-Modeling-Tutorials/', 10 | 11 | build: { 12 | // Output the build files to the top-level `docs/` folder 13 | outDir: '../docs' 14 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Neue,Arial,sans-serif;background:#fafafa;color:#333;line-height:1.6}.container{max-width:900px;margin:0 auto;padding:1.5rem;background-color:#fff;box-shadow:0 1px 3px #0000001a;border-radius:5px}header h1{font-size:2rem;margin-bottom:.5rem;color:#2c3e50}.subtitle{font-size:1.1rem;color:#555;margin-bottom:1rem}section{margin-bottom:1rem}hr{margin:2rem 0;border:none;height:1px;background:#ddd}a{color:#3498db;text-decoration:none}a:hover{text-decoration:underline} 2 | -------------------------------------------------------------------------------- /docs/index.html: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | Research Timeline 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
14 | 15 | 16 | 17 | -------------------------------------------------------------------------------- /requirements.txt: -------------------------------------------------------------------------------- 1 | # PyTorch for deep learning 2 | torch 3 | 4 | # Google Drive download utility 5 | gdown 6 | 7 | # Scientific computing 8 | scipy 9 | numpy 10 | h5py 11 | 12 | # Plotting libraries 13 | matplotlib 14 | plotly --------------------------------------------------------------------------------