Merge branch 'main' of github.com:Ruizhe0723/staging

_posts/reference.md

@@ -71,7 +71,6 @@ $$
 
 Note that MathJax 3 is [a major re-write of MathJax](https://docs.mathjax.org/en/latest/upgrading/whats-new-3.0.html) that brought a significant improvement to the loading and rendering speed, which is now [on par with KaTeX](http://www.intmath.com/cg5/katex-mathjax-comparison.php).
 
-
 ## Images and Figures
 
 Its generally a better idea to avoid linking to images hosted elsewhere - links can break and you
@@ -211,14 +210,14 @@ string myString;
     cout << "input a string: ";
     getline(cin, myString);
     int length = myString.length();
-
+    
     char charArray = new char * [length];
-
+    
     charArray = myString;
     for(int i = 0; i < length; ++i){
         cout << charArray[i] << " ";
     }
-
+    
     return 0;
 }
 

assets/bibliography/2023-12-19-Investigating-vision-transformer-based-models-for-closure-modeling-of-fluid-dynamical-systems.bib

@@ -0,0 +1,142 @@
+%% Intro references
+
+@article{schultz2021can,
+  title={Can deep learning beat numerical weather prediction?},
+  author={Schultz, Martin G and Betancourt, Clara and Gong, Bing and Kleinert, Felix and Langguth, Michael and Leufen, Lukas Hubert and Mozaffari, Amirpasha and Stadtler, Scarlet},
+  journal={Philosophical Transactions of the Royal Society A},
+  volume={379},
+  number={2194},
+  pages={20200097},
+  year={2021},
+  publisher={The Royal Society Publishing}
+}
+
+@article{pathak2022fourcastnet,
+  title={Fourcastnet: A global data-driven high-resolution weather model using adaptive fourier neural operators},
+  author={Pathak, Jaideep and Subramanian, Shashank and Harrington, Peter and Raja, Sanjeev and Chattopadhyay, Ashesh and Mardani, Morteza and Kurth, Thorsten and Hall, David and Li, Zongyi and Azizzadenesheli, Kamyar and others},
+  journal={arXiv preprint arXiv:2202.11214},
+  year={2022}
+}
+
+@article{lam2022graphcast,
+  title={GraphCast: Learning skillful medium-range global weather forecasting},
+  author={Lam, Remi and Sanchez-Gonzalez, Alvaro and Willson, Matthew and Wirnsberger, Peter and Fortunato, Meire and Pritzel, Alexander and Ravuri, Suman and Ewalds, Timo and Alet, Ferran and Eaton-Rosen, Zach and others},
+  journal={arXiv preprint arXiv:2212.12794},
+  year={2022}
+}
+
+@article{lino2023current,
+  title={Current and emerging deep-learning methods for the simulation of fluid dynamics},
+  author={Lino, Mario and Fotiadis, Stathi and Bharath, Anil A and Cantwell, Chris D},
+  journal={Proceedings of the Royal Society A},
+  volume={479},
+  number={2275},
+  pages={20230058},
+  year={2023},
+  publisher={The Royal Society}
+}
+
+@article{dosovitskiy2020image,
+  title={An image is worth 16x16 words: Transformers for image recognition at scale},
+  author={Dosovitskiy, Alexey and Beyer, Lucas and Kolesnikov, Alexander and Weissenborn, Dirk and Zhai, Xiaohua and Unterthiner, Thomas and Dehghani, Mostafa and Minderer, Matthias and Heigold, Georg and Gelly, Sylvain and others},
+  journal={arXiv preprint arXiv:2010.11929},
+  year={2020}
+}
+
+%% FpC references
+
+@book{cohen2004fluid,
+  title={Fluid mechanics},
+  author={Cohen, Ira M and Kundu, Pijush K},
+  year={2004},
+  publisher={Elsevier}
+}
+
+@article{ueckermann20122,
+  title={2.29 Finite volume MATLAB framework documentation},
+  author={Ueckermann, Mattheus P and Lermusiaux, Pierre FJ},
+  journal={MSEAS report},
+  volume={14},
+  year={2012}
+}
+
+%% Neural closure references
+
+@article{gupta2021neural,
+  title={Neural closure models for dynamical systems},
+  author={Gupta, Abhinav and Lermusiaux, Pierre FJ},
+  journal={Proceedings of the Royal Society A},
+  volume={477},
+  number={2252},
+  pages={20201004},
+  year={2021},
+  publisher={The Royal Society Publishing}
+}
+
+@article{zanna2020data,
+  title={Data-driven equation discovery of ocean mesoscale closures},
+  author={Zanna, Laure and Bolton, Thomas},
+  journal={Geophysical Research Letters},
+  volume={47},
+  number={17},
+  pages={e2020GL088376},
+  year={2020},
+  publisher={Wiley Online Library}
+}
+
+@article{gupta2023generalized,
+  title={Generalized Neural Closure Models with Interpretability},
+  author={Gupta, Abhinav and Lermusiaux, Pierre FJ},
+  journal={arXiv preprint arXiv:2301.06198},
+  year={2023}
+}
+
+@article{srinivasan2023turbulence,
+  title={Turbulence closure with small, local neural networks: Forced two-dimensional and $$\backslash$beta $-plane flows},
+  author={Srinivasan, Kaushik and Chekroun, Mickael D and McWilliams, James C},
+  journal={arXiv preprint arXiv:2304.05029},
+  year={2023}
+}
+
+%% Neuralops/ Transformer references
+
+@article{li2020fourier,
+  title={Fourier neural operator for parametric partial differential equations},
+  author={Li, Zongyi and Kovachki, Nikola and Azizzadenesheli, Kamyar and Liu, Burigede and Bhattacharya, Kaushik and Stuart, Andrew and Anandkumar, Anima},
+  journal={arXiv preprint arXiv:2010.08895},
+  year={2020}
+}
+
+@article{guibas2021adaptive,
+  title={Adaptive fourier neural operators: Efficient token mixers for transformers},
+  author={Guibas, John and Mardani, Morteza and Li, Zongyi and Tao, Andrew and Anandkumar, Anima and Catanzaro, Bryan},
+  journal={arXiv preprint arXiv:2111.13587},
+  year={2021}
+}
+
+%% Other DL references
+
+@inproceedings{kim2019deep,
+  title={Deep fluids: A generative network for parameterized fluid simulations},
+  author={Kim, Byungsoo and Azevedo, Vinicius C and Thuerey, Nils and Kim, Theodore and Gross, Markus and Solenthaler, Barbara},
+  booktitle={Computer graphics forum},
+  volume={38},
+  number={2},
+  pages={59--70},
+  year={2019},
+  organization={Wiley Online Library}
+}
+
+@article{lippe2023pde,
+  title={Pde-refiner: Achieving accurate long rollouts with neural pde solvers},
+  author={Lippe, Phillip and Veeling, Bastiaan S and Perdikaris, Paris and Turner, Richard E and Brandstetter, Johannes},
+  journal={arXiv preprint arXiv:2308.05732},
+  year={2023}
+}
+
+@article{renn2023forecasting,
+  title={Forecasting subcritical cylinder wakes with Fourier Neural Operators},
+  author={Renn, Peter I and Wang, Cong and Lale, Sahin and Li, Zongyi and Anandkumar, Anima and Gharib, Morteza},
+  journal={arXiv preprint arXiv:2301.08290},
+  year={2023}
+}