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Uncertainty-Aware Physical Simulation of Neural Radiance Fields for Fluids

Haojie Lian1, Jiaqi Wang1, Leilei Chen2,*, Shengze Li3, Ruochen Cao4, Qingyuan Hu5, Peiyun Zhao1

1 Key Laboratory of In-Situ Property-Improving Mining of Ministry of Education, Taiyuan University of Technology, Taiyuan, 030024, China
2 Henan International Joint Laboratory of Structural Mechanics and Computational Simulation, College of Architectural and Civil Engineering, Huanghuai University, Zhumadian, 463000, China
3 National Innovation Institute of Defense Technology, Academy of Military Science, Beijing, 100091, China
4 School of Software, Taiyuan University of Technology, Jinzhong, 030600, China
5 School of Science, Jiangnan University, Wuxi, 214122, China

* Corresponding Author: Leilei Chen. Email: email

(This article belongs to the Special Issue: Integration of Physical Simulation and Machine Learning in Digital Twin and Virtual Reality)

Computer Modeling in Engineering & Sciences 2024, 140(1), 1143-1163.


This paper presents a novel framework aimed at quantifying uncertainties associated with the 3D reconstruction of smoke from 2D images. This approach reconstructs color and density fields from 2D images using Neural Radiance Field (NeRF) and improves image quality using frequency regularization. The NeRF model is obtained via joint training of multiple artificial neural networks, whereby the expectation and standard deviation of density fields and RGB values can be evaluated for each pixel. In addition, customized physics-informed neural network (PINN) with residual blocks and two-layer activation functions are utilized to input the density fields of the NeRF into Navier-Stokes equations and convection-diffusion equations to reconstruct the velocity field. The velocity uncertainties are also evaluated through ensemble learning. The effectiveness of the proposed algorithm is demonstrated through numerical examples. The present method is an important step towards downstream tasks such as reliability analysis and robust optimization in engineering design.


Cite This Article

APA Style
Lian, H., Wang, J., Chen, L., Li, S., Cao, R. et al. (2024). Uncertainty-aware physical simulation of neural radiance fields for fluids. Computer Modeling in Engineering & Sciences, 140(1), 1143-1163.
Vancouver Style
Lian H, Wang J, Chen L, Li S, Cao R, Hu Q, et al. Uncertainty-aware physical simulation of neural radiance fields for fluids. Comput Model Eng Sci. 2024;140(1):1143-1163
IEEE Style
H. Lian et al., "Uncertainty-Aware Physical Simulation of Neural Radiance Fields for Fluids," Comput. Model. Eng. Sci., vol. 140, no. 1, pp. 1143-1163. 2024.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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