Challenges and opportunities for machine learning in multiscale computational modeling
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Abstract (arXiv)
Many mechanical engineering applications call for multiscale computational modeling and simulation. However, solving for complex multiscale systems remains computationally onerous due to the high dimensionality of the solution space. Recently, machine learning (ML) has emerged as a promising solution that can either serve as a surrogate for, accelerate or augment traditional numerical methods. Pioneering work has demonstrated that ML provides solutions to governing systems of equations with comparable accuracy to those obtained using direct numerical methods, but with significantly faster computational speed. These high-speed, high-fidelity estimations can facilitate the solving of complex multiscale systems by providing a better initial solution to traditional solvers. This paper provides a perspective on the opportunities and challenges of using ML for complex multiscale modeling and simulation. We first outline the current state-of-the-art ML approaches for simulating multiscale systems and highlight some of the landmark developments. Next, we discuss current challenges for ML in multiscale computational modeling, such as the data and discretization dependence, interpretability, and data sharing and collaborative platform development. Finally, we suggest several potential research directions for the future.
Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Builds on 24 of its 76 references that are in the map. First posted on arXiv 22 Mar 2023.
Builds on
24 of 76 references.
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12 more
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Citing papers per year: 2023: 1; 2024: 1; 2025: 2; 2026: 2.
6 papers.
- 2024Deep Operator Learning for High-Fidelity Fluid Flow Field Reconstruction from Sparse Sensor Measurementscited by 8
- 2023Efficient Surrogate Models for Materials Science Simulations: Machine Learning-based Prediction of Microstructure Propertiescited by 6
- 2026Artificial Intelligence in Materials Science and Engineering: Current Landscape, Key Challenges, and Future Trajectoriecited by 5
- 2025A physics-aware deep learning model for shear band formation around collapsing pores in shocked reactive materialscited by 1
- 2026Adapting Automotive Aerodynamics Surrogates to New Vehicle Families via Transfer Learningcited by 1
- 2025Deep Micro Solvers for Rough-Wall Stokes Flow in a Heterogeneous Multiscale Methodcited by 0
- 2026Adapting Automotive Aerodynamics Surrogates to New Vehicle Families via Transfer Learning27 May 2026
- 2026Artificial Intelligence in Materials Science and Engineering: Current Landscape, Key Challenges, and Future Trajectorie18 Jan 2026
- 2025A physics-aware deep learning model for shear band formation around collapsing pores in shocked reactive materials8 Oct 2025
- 2025Deep Micro Solvers for Rough-Wall Stokes Flow in a Heterogeneous Multiscale Method18 Jul 2025
- 2024Deep Operator Learning for High-Fidelity Fluid Flow Field Reconstruction from Sparse Sensor Measurements11 Dec 2024
- 2023Efficient Surrogate Models for Materials Science Simulations: Machine Learning-based Prediction of Microstructure Properties1 Sep 2023