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@book{bridson2015fluid,
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@article{fang2018benchmarking,
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@article{kell1975density,
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@article{taylor1950formation,
title={The formation of a blast wave by a very intense explosion I. Theoretical discussion},
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year={1950},
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@article{taylor1950formation2,
title={The formation of a blast wave by a very intense explosion.-II. The atomic explosion of 1945},
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@misc{burenga1978portable,
title={Portable air compressor},
author={Burenga, Thomas I},
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@article{poinsot1992boundary,
title={Boundary conditions for direct simulations of compressible viscous flows},
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@article{tinney1967direct,
title={Direct solutions of sparse network equations by optimally ordered triangular factorization},
author={Tinney, William F and Walker, John W},
journal={Proceedings of the IEEE},
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year={1967},
publisher={IEEE}
}
@article{euler1757principes,
title={Principes g{\'e}n{\'e}raux du mouvement des fluides},
author={Euler, Leonhard},
journal={M{\'e}moires de l'Acad{\'e}mie des Sciences de Berlin},
pages={274--315},
year={1757}
}
@article{lucy1977numerical,
title={A numerical approach to the testing of the fission hypothesis},
author={Lucy, Leon B},
journal={The astronomical journal},
volume={82},
pages={1013--1024},
year={1977}
}
@inproceedings{muller2003particle,
title={Particle-based fluid simulation for interactive applications},
author={M{\"u}ller, Matthias and Charypar, David and Gross, Markus},
booktitle={Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation},
pages={154--159},
year={2003},
organization={Eurographics Association}
}
@inproceedings{becker2007weakly,
title={Weakly compressible SPH for free surface flows},
author={Becker, Markus and Teschner, Matthias},
booktitle={Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation},
pages={209--217},
year={2007},
organization={Eurographics Association}
}
@article{macklin2013position,
title={Position based fluids},
author={Macklin, Miles and M{\"u}ller, Matthias},
journal={ACM Transactions on Graphics (TOG)},
volume={32},
number={4},
pages={104},
year={2013},
publisher={ACM}
}
@article{morikawaimprovements,
title={Improvements in highly viscous fluid simulation using a fully implicit SPH method},
author={Morikawa, Daniel and Asai, Mitsuteru and Imoto, Yusuke and Isshiki, Masaharu and others},
journal={Computational Particle Mechanics},
pages={1--16},
publisher={Springer}
}
@article{monaghan1992smoothed,
title={Smoothed particle hydrodynamics},
author={Monaghan, Joe J},
journal={Annual review of astronomy and astrophysics},
volume={30},
number={1},
pages={543--574},
year={1992},
publisher={Annual Reviews 4139 El Camino Way, PO Box 10139, Palo Alto, CA 94303-0139, USA}
}
@article{lucy1977numerical,
title={A numerical approach to the testing of the fission hypothesis},
author={Lucy, Leon B},
journal={The astronomical journal},
volume={82},
pages={1013--1024},
year={1977}
}
@inproceedings{raina2009large,
title={Large-scale deep unsupervised learning using graphics processors},
author={Raina, Rajat and Madhavan, Anand and Ng, Andrew Y},
booktitle={Proceedings of the 26th annual international conference on machine learning},
pages={873--880},
year={2009},
organization={ACM}
}
@article{lecun2015deep,
title={Deep learning},
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journal={nature},
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}
@article{chang2016compositional,
title={A compositional object-based approach to learning physical dynamics},
author={Chang, Michael B and Ullman, Tomer and Torralba, Antonio and Tenenbaum, Joshua B},
journal={arXiv preprint arXiv:1612.00341},
year={2016}
}
@misc{unity3d,
title={Unity3D},
author={Unity Technologies},
year={2019},
howpublished="\url{https://unity3d.com/}"
}
@misc{mysph,
title={SPH in Unity3D},
author={Martin Wepner},
year={2017},
howpublished="\url{https://martin-wepner.de/fluid-simulation-with-compute-shader/}"
}
@article{tsubokura2009computational,
title={Computational visualization of unsteady flow around vehicles using high performance computing},
author={Tsubokura, Makoto and Kobayashi, Toshio and Nakashima, Takuji and Nouzawa, Takahide and Nakamura, Takaki and Zhang, Huilai and Onishi, Keiji and Oshima, Nobuyuki},
journal={Computers \& Fluids},
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year={2009},
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}
@article{kimura2002numerical,
title={Numerical weather prediction},
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@article{peskin1977numerical,
title={Numerical analysis of blood flow in the heart},
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@misc{gilland2009elemental,
title={Elemental magic: the art of special effects animation},
author={Gilland, Joseph},
year={2009},
publisher={Boston: Focal Press,}
}
@article{thuerey2018well,
title={Well, how accurate is it? a study of deep learning methods for reynolds-averaged navier-stokes simulations},
author={Thuerey, Nils and Weissenow, Konstantin and Mehrotra, Harshit and Mainali, Nischal and Prantl, Lukas and Hu, Xiangyu},
journal={arXiv preprint arXiv:1810.08217},
year={2018}
}
@book{navier1827memoire,
title={M{\'e}moire sur les lois de l'{\'e}quilibre et du mouvement des corps solides {\'e}lastiques},
author={Navier, Claude LMH},
year={1827}
}
@article{stokes1880theories,
title={On the theories of the internal friction of fluids in motion, and of the equilibrium and motion of elastic solids},
author={Stokes, Georges Gabriel},
journal={Transactions of the Cambridge Philosophical Society},
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@book{hestenes1952methods,
title={Methods of conjugate gradients for solving linear systems},
author={Hestenes, Magnus Rudolph and Stiefel, Eduard},
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@book{lions1971optimal,
title={Optimal Control of Systems Governed by Partial Differential Equations (Grundlehren der Mathematischen Wissenschaften)},
author={Lions, Jacques Louis},
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@inproceedings{mcnamara2004fluid,
title={Fluid control using the adjoint method},
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