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We introduce MinConvLSTM and MinConvGRU, two novel spatiotemporal models that combine the spatial inductive biases of convolutional recurrent networks with the training efficiency of minimal, parallelizable RNNs. Our approach extends the…

Machine Learning · Computer Science 2025-08-06 Coşku Can Horuz , Sebastian Otte , Martin V. Butz , Matthias Karlbauer

Many climate processes are characterized using large systems of nonlinear differential equations; this, along with the immense amount of data required to parameterize complex interactions, means that Earth-System Model (ESM) simulations may…

Atmospheric and Oceanic Physics · Physics 2024-09-20 Kevin Potter , Carianne Martinez , Reina Pradhan , Samantha Brozak , Steven Sleder , Lauren Wheeler

Physically plausible fluid simulations play an important role in modern computer graphics and engineering. However, in order to achieve real-time performance, computational speed needs to be traded-off with physical accuracy. Surrogate…

Fluid Dynamics · Physics 2021-05-19 Nils Wandel , Michael Weinmann , Reinhard Klein

Highly accurate datasets from numerical or physical experiments are often expensive and time-consuming to acquire, posing a significant challenge for applications that require precise evaluations, potentially across multiple scenarios and…

Machine Learning · Computer Science 2026-02-06 Paolo Conti , Mengwu Guo , Attilio Frangi , Andrea Manzoni

The optimization of well locations and controls is an important step in the design of subsurface flow operations such as oil production or geological CO2 storage. These optimization problems can be computationally expensive, however, as…

Geophysics · Physics 2024-05-16 Haoyu Tang , Louis J. Durlofsky

Process-based hydrologic models are invaluable tools for understanding the terrestrial water cycle and addressing modern water resources problems. However, many hydrologic models are computationally expensive and, depending on the…

Geophysics · Physics 2025-02-11 Timothy Dai , Kate Maher , Zach Perzan

We propose an end-to-end trained neural networkarchitecture to robustly predict the complex dynamics of fluid flows with high temporal stability. We focus on single-phase smoke simulations in 2D and 3D based on the incompressible…

Graphics · Computer Science 2020-03-20 Steffen Wiewel , Byungsoo Kim , Vinicius C. Azevedo , Barbara Solenthaler , Nils Thuerey

Subsurface remediation often involves reconstruction of contaminant release history from sparse observations of solute concentration. Markov Chain Monte Carlo (MCMC), the most accurate and general method for this task, is rarely used in…

Computational Engineering, Finance, and Science · Computer Science 2021-11-03 Zitong Zhou , Daniel M. Tartakovsky

To accurately study chemical reactions in the condensed phase or within enzymes, both a quantum-mechanical description and sufficient configurational sampling is required to reach converged estimates. Here, quantum mechanics/molecular…

Chemical Physics · Physics 2022-10-05 Albert Hofstetter , Lennard Böselt , Sereina Riniker

Accurate short-term streamflow and flood forecasting are critical for mitigating river flood impacts, especially given the increasing climate variability. Machine learning-based streamflow forecasting relies on large streamflow datasets…

Artificial Intelligence · Computer Science 2024-12-09 Xiyu Pan , Neda Mohammadi , John E. Taylor

Deep-learning has achieved good performance and shown great potential for solving forward and inverse problems. In this work, two categories of innovative deep-learning based inverse modeling methods are proposed and compared. The first…

Signal Processing · Electrical Eng. & Systems 2021-04-28 Nanzhe Wang , Haibin Chang , Dongxiao Zhang

The computational models for geophysical flows are computationally very expensive to employ in multi-query tasks such as data assimilation, uncertainty quantification, and hence surrogate models sought to alleviate the computational burden…

Computational Physics · Physics 2022-01-10 Suraj Pawar , Omer San , Gary G. Yen

We propose a novel \textit{capsule} based deep encoder-decoder model for surrogate modeling and uncertainty quantification of systems in mechanics from sparse data. The proposed framework is developed by adapting Capsule Network (CapsNet)…

Machine Learning · Statistics 2022-01-20 Akshay Thakur , Souvik Chakraborty

Real-world flow applications in complex scientific and engineering domains, such as geosciences, challenge classical simulation methods due to large spatial domains, high spatio-temporal resolution requirements, and potentially strong…

Machine Learning · Computer Science 2026-02-03 Julia Pelzer , Corné Verburg , Alexander Heinlein , Miriam Schulte

Despite the progress in high performance computing, Computational Fluid Dynamics (CFD) simulations are still computationally expensive for many practical engineering applications such as simulating large computational domains and highly…

Fluid Dynamics · Physics 2017-10-26 Botros N Hanna , Nam T. Dinh , Robert W. Youngblood , Igor A. Bolotnov

The precise simulation of turbulent flows holds immense significance across various scientific and engineering domains, including climate science, freshwater science, and energy-efficient manufacturing. Within the realm of simulating…

Fluid Dynamics · Physics 2024-12-31 Shengyu Chen , Peyman Givi , Can Zheng , Xiaowei Jia

The applicability of computational fluid dynamics (CFD) based design tools depend on the accuracy and complexity of the physical models, for example turbulence models, which remains an unsolved problem in physics, and rotor models that…

Fluid Dynamics · Physics 2023-05-09 Shanti Bhushan , Greg W Burgreen , Joshua L Bowman , Ian D Dettwiller , Wesley Brewer

Sequence modeling is currently dominated by causal transformer architectures that use softmax self-attention. Although widely adopted, transformers require scaling memory and compute linearly during inference. A recent stream of work…

We introduce Neural Flow Maps, a novel simulation method bridging the emerging paradigm of implicit neural representations with fluid simulation based on the theory of flow maps, to achieve state-of-the-art simulation of inviscid fluid…

Graphics · Computer Science 2023-12-25 Yitong Deng , Hong-Xing Yu , Diyang Zhang , Jiajun Wu , Bo Zhu

Long short-term memory (LSTM) recurrent neural networks (RNNs) have been shown to give state-of-the-art performance on many speech recognition tasks, as they are able to provide the learned dynamically changing contextual window of all…

Computation and Language · Computer Science 2016-10-12 Xiangang Li , Xihong Wu