{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T01:16:24Z","timestamp":1783127784785,"version":"3.54.6"},"publisher-location":"New York, NY, USA","reference-count":64,"publisher":"ACM","funder":[{"name":"NSF ECCS","award":["#2318814"],"award-info":[{"award-number":["#2318814"]}]},{"name":"NSF CAREER","award":["#2433307"],"award-info":[{"award-number":["#2433307"]}]},{"name":"NSF IIS","award":["#2106733, #2433322"],"award-info":[{"award-number":["#2106733, #2433322"]}]},{"name":"NSF OISE","award":["#2433313"],"award-info":[{"award-number":["#2433313"]}]},{"name":"NSF CNS","award":["#19196"],"award-info":[{"award-number":["#19196"]}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2025,12,15]]},"DOI":"10.1145\/3757377.3763903","type":"proceedings-article","created":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T16:30:41Z","timestamp":1765211441000},"page":"1-12","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":3,"title":["An Adjoint Method for Differentiable Fluid Simulation on Flow Maps"],"prefix":"10.1145","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6892-8097","authenticated-orcid":false,"given":"Zhiqi","family":"Li","sequence":"first","affiliation":[{"name":"Georgia Institute of Technology, Atlanta, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-4319-1191","authenticated-orcid":false,"given":"Jinjin","family":"He","sequence":"additional","affiliation":[{"name":"Georgia Institute of Technology, Atlanta, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1830-2969","authenticated-orcid":false,"given":"Barnab\u00e1s","family":"B\u00f6rcs\u00f6k","sequence":"additional","affiliation":[{"name":"Georgia Institute of Technology, Atlanta, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7395-5372","authenticated-orcid":false,"given":"Taiyuan","family":"Zhang","sequence":"additional","affiliation":[{"name":"Dartmouth College, New Hampshire, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0002-6833-6312","authenticated-orcid":false,"given":"Duowen","family":"Chen","sequence":"additional","affiliation":[{"name":"Georgia Institute of Technology, Atlanta, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0008-1669-3290","authenticated-orcid":false,"given":"Tao","family":"Du","sequence":"additional","affiliation":[{"name":"Independent Researcher, Beijing, Saint Barthelemy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3736-6949","authenticated-orcid":false,"given":"Ming","family":"Lin","sequence":"additional","affiliation":[{"name":"University of Maryland, College Park, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3419-6369","authenticated-orcid":false,"given":"Greg","family":"Turk","sequence":"additional","affiliation":[{"name":"Georgia Institute of Technology, Atlanta, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1392-0928","authenticated-orcid":false,"given":"Bo","family":"Zhu","sequence":"additional","affiliation":[{"name":"Georgia Institute of Technology, Atlanta, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2025,12,14]]},"reference":[{"key":"e_1_3_3_2_2_1","doi-asserted-by":"crossref","unstructured":"Mohammadmehdi Ataei and Hesam Salehipour. 2024. XLB: A differentiable massively parallel lattice Boltzmann library in Python. Computer Physics Communications 300 (2024) 109187.","DOI":"10.1016\/j.cpc.2024.109187"},{"key":"e_1_3_3_2_3_1","volume-title":"Proceedings of CESCG 2023: The 27th Central European Seminar on Computer Graphics","author":"B\u00f6rcs\u00f6k Barnab\u00e1s","year":"2023","unstructured":"Barnab\u00e1s B\u00f6rcs\u00f6k and L\u00e1szl\u00f3 Sz\u00e9csi. 2023. Controlling 2D Laplacian Eigenfluids. In Proceedings of CESCG 2023: The 27th Central European Seminar on Computer Graphics. https:\/\/github.com\/bobarna\/eigenfluid-control."},{"key":"e_1_3_3_2_4_1","doi-asserted-by":"crossref","unstructured":"TF Buttke. 1992. Lagrangian numerical methods which preserve the Hamiltonian structure of incompressible fluid flow. (1992).","DOI":"10.1007\/978-94-015-8137-0_3"},{"key":"e_1_3_3_2_5_1","doi-asserted-by":"crossref","unstructured":"Duowen Chen Zhiqi Li Taiyuan Zhang Jinjin He Junwei Zhou Bart\u00a0G van Bloemen\u00a0Waanders and Bo Zhu. 2025. Fluid Simulation on Compressible Flow Maps. ACM Transactions on Graphics (TOG) 44 4 (2025) 1\u201317.","DOI":"10.1145\/3731192"},{"key":"e_1_3_3_2_6_1","doi-asserted-by":"crossref","unstructured":"Duowen Chen Zhiqi Li Junwei Zhou Fan Feng Tao Du and Bo Zhu. 2024b. Solid-Fluid Interaction on Particle Flow Maps. ACM Transactions on Graphics (TOG) 43 6 (2024) 1\u201320.","DOI":"10.1145\/3687959"},{"key":"e_1_3_3_2_7_1","doi-asserted-by":"crossref","unstructured":"Xuwen Chen Xingyu Ni Bo Zhu Bin Wang and Baoquan Chen. 2022. Simulation and optimization of magnetoelastic thin shells. ACM Transactions on Graphics (TOG) 41 4 (2022) 1\u201318.","DOI":"10.1145\/3528223.3530142"},{"key":"e_1_3_3_2_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/3641519.3657468"},{"key":"e_1_3_3_2_9_1","doi-asserted-by":"crossref","unstructured":"Ricardo Cortez. 1996. An impulse-based approximation of fluid motion due to boundary forces. J. Comput. Phys. 123 2 (1996) 341\u2013353.","DOI":"10.1006\/jcph.1996.0028"},{"key":"e_1_3_3_2_10_1","unstructured":"Yitong Deng Hong-Xing Yu Jiajun Wu and Bo Zhu. 2023a. Learning Vortex Dynamics for Fluid Inference and Prediction. International Conference on Learning Representations (ICLR 2023) (2023)."},{"key":"e_1_3_3_2_11_1","doi-asserted-by":"crossref","unstructured":"Yitong Deng Hong-Xing Yu Diyang Zhang Jiajun Wu and Bo Zhu. 2023b. Fluid Simulation on Neural Flow Maps. ACM Transactions on Graphics (TOG) 42 6 (2023) 1\u201321.","DOI":"10.1145\/3618392"},{"key":"e_1_3_3_2_12_1","doi-asserted-by":"crossref","unstructured":"Tao Du Kui Wu Pingchuan Ma Sebastien Wah Andrew Spielberg Daniela Rus and Wojciech Matusik. 2021. Diffpd: Differentiable projective dynamics. ACM Transactions on Graphics (ToG) 41 2 (2021) 1\u201321.","DOI":"10.1145\/3490168"},{"key":"e_1_3_3_2_13_1","unstructured":"Fan Feng Jinyuan Liu Shiying Xiong Shuqi Yang Yaorui Zhang and Bo Zhu. 2022. Impulse Fluid Simulation. IEEE Transactions on Visualization and Computer Graphics (2022)."},{"key":"e_1_3_3_2_14_1","doi-asserted-by":"crossref","unstructured":"Fan Feng Shiying Xiong Ziyue Liu Zangyueyang Xian Yuqing Zhou Hiroki Kobayashi Atsushi Kawamoto Tsuyoshi Nomura and Bo Zhu. 2023. Cellular topology optimization on differentiable Voronoi diagrams. Internat. J. Numer. Methods Engrg. 124 1 (2023) 282\u2013304.","DOI":"10.1002\/nme.7121"},{"key":"e_1_3_3_2_15_1","doi-asserted-by":"crossref","unstructured":"Jakub Ga\u0142ecki and Jacek Szumbarski. 2022. Adjoint-based optimal control of incompressible flows with convective-like energy-stable open boundary conditions. Computers & Mathematics with Applications 106 (2022) 40\u201356.","DOI":"10.1016\/j.camwa.2021.12.004"},{"key":"e_1_3_3_2_16_1","doi-asserted-by":"crossref","unstructured":"Moritz Geilinger David Hahn Jonas Zehnder Moritz B\u00e4cher Bernhard Thomaszewski and Stelian Coros. 2020. Add: Analytically differentiable dynamics for multi-body systems with frictional contact. ACM Transactions on Graphics (TOG) 39 6 (2020) 1\u201315.","DOI":"10.1145\/3414685.3417766"},{"key":"e_1_3_3_2_17_1","doi-asserted-by":"crossref","unstructured":"Michael\u00a0B Giles Mihai\u00a0C Duta Jens-Dominik Muller and Niles\u00a0A Pierce. 2003. Algorithm developments for discrete adjoint methods. AIAA journal 41 2 (2003) 198\u2013205.","DOI":"10.2514\/2.1961"},{"key":"e_1_3_3_2_18_1","doi-asserted-by":"crossref","unstructured":"Michael\u00a0B Giles and Niles\u00a0A Pierce. 2000. An introduction to the adjoint approach to design. Flow turbulence and combustion 65 3 (2000) 393\u2013415.","DOI":"10.1023\/A:1011430410075"},{"key":"e_1_3_3_2_19_1","doi-asserted-by":"publisher","DOI":"10.1145\/3641519.3657467"},{"key":"e_1_3_3_2_20_1","doi-asserted-by":"crossref","unstructured":"David Hahn Pol Banzet James\u00a0M Bern and Stelian Coros. 2019. Real2sim: Visco-elastic parameter estimation from dynamic motion. ACM Transactions on Graphics (TOG) 38 6 (2019) 1\u201313.","DOI":"10.1145\/3355089.3356548"},{"key":"e_1_3_3_2_21_1","doi-asserted-by":"crossref","unstructured":"Jinjin He Taiyuan Zhang Hiroki Kobayashi Atsushi Kawamoto Yuqing Zhou Tsuyoshi Nomura and Bo Zhu. 2024. Multi-level Partition of Unity on Differentiable Moving Particles. ACM Transactions on Graphics (TOG) 43 6 (2024) 1\u201321.","DOI":"10.1145\/3687989"},{"key":"e_1_3_3_2_22_1","volume-title":"NeurIPS workshop","author":"Holl Philipp","year":"2020","unstructured":"Philipp Holl, Vladlen Koltun, Kiwon Um, and Nils Thuerey. 2020. phiflow: A differentiable pde solving framework for deep learning via physical simulations. In NeurIPS workshop , Vol.\u00a02."},{"key":"e_1_3_3_2_23_1","volume-title":"International Conference on Machine Learning","author":"Holl Philipp","year":"2024","unstructured":"Philipp Holl and Nils Thuerey. 2024. \u03a6Flow (PhiFlow): Differentiable Simulations for PyTorch, TensorFlow and Jax. In International Conference on Machine Learning. PMLR."},{"key":"e_1_3_3_2_24_1","doi-asserted-by":"crossref","unstructured":"Yuanming Hu Tzu-Mao Li Luke Anderson Jonathan Ragan-Kelley and Fr\u00e9do Durand. 2019a. Taichi: a language for high-performance computation on spatially sparse data structures. ACM Transactions on Graphics (TOG) 38 6 (2019) 201.","DOI":"10.1145\/3355089.3356506"},{"key":"e_1_3_3_2_25_1","doi-asserted-by":"publisher","DOI":"10.1109\/ICRA.2019.8794333"},{"key":"e_1_3_3_2_26_1","unstructured":"Zhiao Huang Yuanming Hu Tao Du Siyuan Zhou Hao Su Joshua\u00a0B Tenenbaum and Chuang Gan. 2021. Plasticinelab: A soft-body manipulation benchmark with differentiable physics. arXiv preprint arXiv:https:\/\/arXiv.org\/abs\/2104.03311 (2021)."},{"key":"e_1_3_3_2_27_1","doi-asserted-by":"publisher","unstructured":"Zizhou Huang Daniele Panozzo and Denis Zorin. 2024a. Optimized shock-protecting microstructures. ACM Trans. Graph. 43 6 Article 181 (Nov. 2024) 21\u00a0pages. 10.1145\/3687765","DOI":"10.1145\/3687765"},{"key":"e_1_3_3_2_28_1","doi-asserted-by":"crossref","unstructured":"Zizhou Huang Davi\u00a0Colli Tozoni Arvi Gjoka Zachary Ferguson Teseo Schneider Daniele Panozzo and Denis Zorin. 2024b. Differentiable solver for time-dependent deformation problems with contact. ACM Transactions on Graphics 43 3 (2024) 1\u201330.","DOI":"10.1145\/3657648"},{"key":"e_1_3_3_2_29_1","doi-asserted-by":"crossref","unstructured":"Antony Jameson. 1988. Aerodynamic design via control theory. Journal of scientific computing 3 3 (1988) 233\u2013260.","DOI":"10.1007\/BF01061285"},{"key":"e_1_3_3_2_30_1","unstructured":"Diederik\u00a0P Kingma. 2014. Adam: A method for stochastic optimization. arXiv preprint arXiv:https:\/\/arXiv.org\/abs\/1412.6980 (2014)."},{"key":"e_1_3_3_2_31_1","unstructured":"Xuan Li Yi-Ling Qiao Peter\u00a0Yichen Chen Krishna\u00a0Murthy Jatavallabhula Ming Lin Chenfanfu Jiang and Chuang Gan. 2023a. Pac-nerf: Physics augmented continuum neural radiance fields for geometry-agnostic system identification. arXiv preprint arXiv:https:\/\/arXiv.org\/abs\/2303.05512 (2023)."},{"key":"e_1_3_3_2_32_1","doi-asserted-by":"crossref","unstructured":"Yifei Li Tao Du Kui Wu Jie Xu and Wojciech Matusik. 2022. Diffcloth: Differentiable cloth simulation with dry frictional contact. ACM Transactions on Graphics (TOG) 42 1 (2022) 1\u201320.","DOI":"10.1145\/3527660"},{"key":"e_1_3_3_2_33_1","unstructured":"Yifei Li Yuchen Sun Pingchuan Ma Eftychios Sifakis Tao Du Bo Zhu and Wojciech Matusik. 2024c. Neuralfluid: Neural fluidic system design and control with differentiable simulation. arXiv preprint arXiv:https:\/\/arXiv.org\/abs\/2405.14903 (2024)."},{"key":"e_1_3_3_2_34_1","unstructured":"Yunzhu Li Jiajun Wu Russ Tedrake Joshua\u00a0B Tenenbaum and Antonio Torralba. 2018. Learning particle dynamics for manipulating rigid bodies deformable objects and fluids. arXiv preprint arXiv:https:\/\/arXiv.org\/abs\/1810.01566 (2018)."},{"key":"e_1_3_3_2_35_1","doi-asserted-by":"publisher","DOI":"10.1145\/3641519.3657514"},{"key":"e_1_3_3_2_36_1","unstructured":"Zhiqi Li Duowen Chen Candong Lin Jinyuan Liu and Bo Zhu. 2024b. Particle-Laden Fluid on Flow Maps. arXiv preprint arXiv:https:\/\/arXiv.org\/abs\/2409.06246 (2024)."},{"key":"e_1_3_3_2_37_1","doi-asserted-by":"crossref","unstructured":"Zhiqi Li Candong Lin Duowen Chen Xinyi Zhou Shiying Xiong and Bo Zhu. 2025a. Clebsch Gauge Fluid on Particle Flow Maps. ACM Transactions on Graphics (TOG) 44 4 (2025) 1\u201312.","DOI":"10.1145\/3731194"},{"key":"e_1_3_3_2_38_1","doi-asserted-by":"crossref","unstructured":"Zhiqi Li Ruicheng Wang Junlin Li Duowen Chen Sinan Wang and Bo Zhu. 2025b. EDGE: Epsilon-Difference Gradient Evolution for Buffer-Free Flow Maps. ACM Transactions on Graphics (TOG) 44 4 (2025) 1\u201311.","DOI":"10.1145\/3731193"},{"key":"e_1_3_3_2_39_1","doi-asserted-by":"crossref","unstructured":"Zhehao Li Qingyu Xu Xiaohan Ye Bo Ren and Ligang Liu. 2023b. Difffr: Differentiable sph-based fluid-rigid coupling for rigid body control. ACM Transactions on Graphics (TOG) 42 6 (2023) 1\u201317.","DOI":"10.1145\/3618318"},{"key":"e_1_3_3_2_40_1","doi-asserted-by":"crossref","unstructured":"Haixiang Liu Yuanming Hu Bo Zhu Wojciech Matusik and Eftychios Sifakis. 2018. Narrow-band topology optimization on a sparsely populated grid. ACM Transactions on Graphics (TOG) 37 6 (2018) 1\u201314.","DOI":"10.1145\/3272127.3275012"},{"key":"e_1_3_3_2_41_1","unstructured":"Pingchuan Ma Tao Du Joshua\u00a0B Tenenbaum Wojciech Matusik and Chuang Gan. 2022. Risp: Rendering-invariant state predictor with differentiable simulation and rendering for cross-domain parameter estimation. arXiv preprint arXiv:https:\/\/arXiv.org\/abs\/2205.05678 (2022)."},{"key":"e_1_3_3_2_42_1","doi-asserted-by":"crossref","unstructured":"Pingchuan Ma Tao Du John\u00a0Z Zhang Kui Wu Andrew Spielberg Robert\u00a0K Katzschmann and Wojciech Matusik. 2021. Diffaqua: A differentiable computational design pipeline for soft underwater swimmers with shape interpolation. ACM Transactions on Graphics (TOG) 40 4 (2021) 1\u201314.","DOI":"10.1145\/3450626.3459832"},{"key":"e_1_3_3_2_43_1","doi-asserted-by":"crossref","unstructured":"Antoine McNamara Adrien Treuille Zoran Popovi\u0107 and Jos Stam. 2004. Fluid control using the adjoint method. ACM Transactions On Graphics (TOG) 23 3 (2004) 449\u2013456.","DOI":"10.1145\/1015706.1015744"},{"key":"e_1_3_3_2_44_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-20086-1_41"},{"key":"e_1_3_3_2_45_1","doi-asserted-by":"crossref","unstructured":"Juan\u00a0Sebastian Montes\u00a0Maestre Yinwei Du Ronan Hinchet Stelian Coros and Bernhard Thomaszewski. 2023. Differentiable stripe patterns for inverse design of structured surfaces. ACM Transactions on Graphics (TOG) 42 4 (2023) 1\u201314.","DOI":"10.1145\/3592114"},{"key":"e_1_3_3_2_46_1","doi-asserted-by":"crossref","unstructured":"Mohammad\u00a0Sina Nabizadeh Stephanie Wang Ravi Ramamoorthi and Albert Chern. 2022. Covector fluids. ACM Transactions on Graphics (TOG) 41 4 (2022) 1\u201316.","DOI":"10.1145\/3528223.3530120"},{"key":"e_1_3_3_2_47_1","doi-asserted-by":"publisher","DOI":"10.1007\/b98874"},{"key":"e_1_3_3_2_48_1","doi-asserted-by":"crossref","unstructured":"Zherong Pan and Dinesh Manocha. 2017. Efficient solver for spacetime control of smoke. ACM Transactions on Graphics (TOG) 36 4 (2017) 1.","DOI":"10.1145\/3072959.3126807"},{"key":"e_1_3_3_2_49_1","unstructured":"Yiling Qiao Junbang Liang Vladlen Koltun and Ming Lin. 2021a. Differentiable simulation of soft multi-body systems. Advances in Neural Information Processing Systems 34 (2021) 17123\u201317135."},{"key":"e_1_3_3_2_50_1","unstructured":"Yi-Ling Qiao Junbang Liang Vladlen Koltun and Ming\u00a0C Lin. 2020. Scalable differentiable physics for learning and control. arXiv preprint arXiv:https:\/\/arXiv.org\/abs\/2007.02168 (2020)."},{"key":"e_1_3_3_2_51_1","first-page":"8661","volume-title":"International Conference on Machine Learning","author":"Qiao Yi-Ling","year":"2021","unstructured":"Yi-Ling Qiao, Junbang Liang, Vladlen Koltun, and Ming\u00a0C Lin. 2021b. Efficient differentiable simulation of articulated bodies. In International Conference on Machine Learning. PMLR, 8661\u20138671."},{"key":"e_1_3_3_2_52_1","doi-asserted-by":"crossref","unstructured":"Ziyin Qu Xinxin Zhang Ming Gao Chenfanfu Jiang and Baoquan Chen. 2019. Efficient and conservative fluids using bidirectional mapping. ACM Transactions on Graphics (TOG) 38 4 (2019) 1\u201312.","DOI":"10.1145\/3306346.3322945"},{"key":"e_1_3_3_2_53_1","doi-asserted-by":"crossref","unstructured":"Ole Sigmund. 2001. A 99 line topology optimization code written in Matlab. Structural and multidisciplinary optimization 21 2 (2001) 120\u2013127.","DOI":"10.1007\/s001580050176"},{"key":"e_1_3_3_2_54_1","doi-asserted-by":"publisher","DOI":"10.1145\/311535.311548"},{"key":"e_1_3_3_2_55_1","volume-title":"Adjoint Navier-Stokes methods for hydrodynamic shape optimisation","author":"St\u00fcck Arthur","year":"2012","unstructured":"Arthur St\u00fcck. 2012. Adjoint Navier-Stokes methods for hydrodynamic shape optimisation. Technische Universit\u00e4t Hamburg."},{"key":"e_1_3_3_2_56_1","doi-asserted-by":"publisher","unstructured":"Yuchen Sun Junlin Li Ruicheng Wang Sinan Wang Zhiqi Li Bart\u00a0G. van Bloemen\u00a0Waanders and Bo Zhu. 2025. Leapfrog Flow Maps for Real-Time Fluid Simulation. ACM Transactions on Graphics 43 6 (Nov. 2025) 1\u201312. 10.1145\/3687916","DOI":"10.1145\/3687916"},{"key":"e_1_3_3_2_57_1","doi-asserted-by":"publisher","DOI":"10.1609\/aaai.v35i7.16764"},{"key":"e_1_3_3_2_58_1","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.142637"},{"key":"e_1_3_3_2_59_1","volume-title":"Computer Graphics International Workshop on VFX, Computer Animation, and Stereo Movies. Ottawa, Canada","author":"Tessendorf Jerry","year":"2011","unstructured":"Jerry Tessendorf and Brandon Pelfrey. 2011. The characteristic map for fast and efficient vfx fluid simulations. In Computer Graphics International Workshop on VFX, Computer Animation, and Stereo Movies. Ottawa, Canada."},{"key":"e_1_3_3_2_60_1","doi-asserted-by":"publisher","DOI":"10.1145\/1201775.882337"},{"key":"e_1_3_3_2_61_1","doi-asserted-by":"crossref","unstructured":"Mengdi Wang Fan Feng Junlin Li and Bo Zhu. 2025. Cirrus: Adaptive Hybrid Particle-Grid Flow Maps on GPU. ACM Transactions on Graphics (TOG) 44 4 (2025) 1\u201317.","DOI":"10.1145\/3731190"},{"key":"e_1_3_3_2_62_1","doi-asserted-by":"crossref","unstructured":"DC Wiggert and EB Wylie. 1976. Numerical predictions of two-dimensional transient groundwater flow by the method of characteristics. Water Resources Research 12 5 (1976) 971\u2013977.","DOI":"10.1029\/WR012i005p00971"},{"key":"e_1_3_3_2_63_1","doi-asserted-by":"crossref","unstructured":"Junwei Zhou Duowen Chen Molin Deng Yitong Deng Yuchen Sun Sinan Wang Shiying Xiong and Bo Zhu. 2024. Eulerian-Lagrangian Fluid Simulation on Particle Flow Maps. ACM Transactions on Graphics (SIGGRAPH 2024) (2024).","DOI":"10.1145\/3658180"},{"key":"e_1_3_3_2_64_1","unstructured":"Xian Zhou Bo Zhu Zhenjia Xu Hsiao-Yu Tung Antonio Torralba Katerina Fragkiadaki and Chuang Gan. 2023. Fluidlab: A differentiable environment for benchmarking complex fluid manipulation. International Conference on Learning Representations (ICLR 2023) (2023)."},{"key":"e_1_3_3_2_65_1","doi-asserted-by":"crossref","unstructured":"Bo Zhu M\u00e9lina Skouras Desai Chen and Wojciech Matusik. 2017. Two-scale topology optimization with microstructures. ACM Transactions on Graphics (TOG) 36 4 (2017) 1.","DOI":"10.1145\/3072959.3126835"}],"event":{"name":"SA Conference Papers '25: SIGGRAPH Asia 2025 Conference Papers","location":"Hong Kong Hong Kong","acronym":"SA Conference Papers '25","sponsor":["SIGGRAPH ACM Special Interest Group on Computer Graphics and Interactive Techniques"]},"container-title":["Proceedings of the SIGGRAPH Asia 2025 Conference Papers"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3757377.3763903","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,9]],"date-time":"2025-12-09T03:33:51Z","timestamp":1765251231000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3757377.3763903"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,12,14]]},"references-count":64,"alternative-id":["10.1145\/3757377.3763903","10.1145\/3757377"],"URL":"https:\/\/doi.org\/10.1145\/3757377.3763903","relation":{},"subject":[],"published":{"date-parts":[[2025,12,14]]},"assertion":[{"value":"2025-12-14","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}