shock wave
Capturing the Moment a White Dwarf Exploded
A research team has successfully imaged a nova in high resolution--and the images suggest that the nova was not a single, impulsive explosion. The Center for High Angular Resolution Astronomy (CHARA Array) at Georgia State University has generated detailed images of the early stages of two nova explosions that were detected in 2021. Through near-infrared interferometry, a process that combines light from multiple telescopes, the CHARA Array was able to capture in high resolution the rapidly changing conditions of their early post-explosion phase. A nova is an astronomical phenomenon that occurs in a binary system when a white dwarf strips its companion star of hydrogen-rich gas, causing a thermonuclear runaway reaction on the white dwarf's surface. The name derives from the sudden brightening that makes it appear as though a new star has appeared in the night sky.
Challenges and Advancements in Modeling Shock Fronts with Physics-Informed Neural Networks: A Review and Benchmarking Study
Abbasi, Jassem, Jagtap, Ameya D., Moseley, Ben, Hiorth, Aksel, Andersen, Pål Østebø
Solving partial differential equations (PDEs) with discontinuous solutions , such as shock waves in multiphase viscous flow in porous media , is critical for a wide range of scientific and engineering applications, as they represent sudden changes in physical quantities. Physics-Informed Neural Networks (PINNs), an approach proposed for solving PDEs, encounter significant challenges when applied to such systems. Accurately solving PDEs with discontinuities using PINNs requires specialized techniques to ensure effective solution accuracy and numerical stability. A benchmarking study was conducted on two multiphase flow problems in porous media: the classic Buckley-Leverett (BL) problem and a fully coupled system of equations involving shock waves but with varying levels of solution complexity. The findings show that PM and LM approaches can provide accurate solutions for the BL problem by effectively addressing the infinite gradients associated with shock occurrences. In contrast, AM methods failed to effectively resolve the shock waves. When applied to fully coupled PDEs (with more complex loss landscape), the generalization error in the solutions quickly increased, highlighting the need for ongoing innovation. This study provides a comprehensive review of existing techniques for managing PDE discontinuities using PINNs, offering information on their strengths and limitations. The results underscore the necessity for further research to improve PINNs ability to handle complex discontinuities, particularly in more challenging problems with complex loss landscapes. This includes problems involving higher dimensions or multiphysics systems, where current methods often struggle to maintain accuracy and efficiency.
FreeFlow: A Comprehensive Understanding on Diffusion Probabilistic Models via Optimal Transport
The blooming diffusion probabilistic models (DPMs) have garnered significant interest due to their impressive performance and the elegant inspiration they draw from physics. While earlier DPMs relied upon the Markovian assumption, recent methods based on differential equations have been rapidly applied to enhance the efficiency and capabilities of these models. However, a theoretical interpretation encapsulating these diverse algorithms is insufficient yet pressingly required to guide further development of DPMs. In response to this need, we present FreeFlow, a framework that provides a thorough explanation of the diffusion formula as time-dependent optimal transport, where the evolutionary pattern of probability density is given by the gradient flows of a functional defined in Wasserstein space. Crucially, our framework necessitates a unified description that not only clarifies the subtle mechanism of DPMs but also indicates the roots of some defects through creative involvement of Lagrangian and Eulerian views to understand the evolution of probability flow. We particularly demonstrate that the core equation of FreeFlow condenses all stochastic and deterministic DPMs into a single case, showcasing the expansibility of our method. Furthermore, the Riemannian geometry employed in our work has the potential to bridge broader subjects in mathematics, which enable the involvement of more profound tools for the establishment of more outstanding and generalized models in the future.
An unsupervised machine-learning-based shock sensor for high-order supersonic flow solvers
Mateo-Gabín, Andrés, Tlales, Kenza, Valero, Eusebio, Ferrer, Esteban, Rubio, Gonzalo
We present a novel unsupervised machine-learning sock sensor based on Gaussian Mixture Models (GMMs). The proposed GMM sensor demonstrates remarkable accuracy in detecting shocks and is robust across diverse test cases with significantly less parameter tuning than other options. We compare the GMM-based sensor with state-of-the-art alternatives. All methods are integrated into a high-order compressible discontinuous Galerkin solver, where two stabilization approaches are coupled to the sensor to provide examples of possible applications. The Sedov blast and double Mach reflection cases demonstrate that our proposed sensor can enhance hybrid sub-cell flux-differencing formulations by providing accurate information of the nodes that require low-order blending. Besides, supersonic test cases including high Reynolds numbers showcase the sensor performance when used to introduce entropy-stable artificial viscosity to capture shocks, demonstrating the same effectiveness as fine-tuned state-of-the-art sensors. The adaptive nature and ability to function without extensive training datasets make this GMM-based sensor suitable for complex geometries and varied flow configurations. Our study reveals the potential of unsupervised machine-learning methods, exemplified by this GMM sensor, to improve the robustness and efficiency of advanced CFD codes.
Stabilizing the Maximal Entropy Moment Method for Rarefied Gas Dynamics at Single-Precision
Zheng, Candi, Yang, Wang, Chen, Shiyi
Developing extended hydrodynamics equations valid for both dense and rarefied gases remains a great challenge. A systematical solution for this challenge is the moment method describing both dense and rarefied gas behaviors with moments of gas molecule velocity distributions. Among moment methods, the maximal entropy moment method (MEM) stands out for its well-posedness and stability, which utilizes velocity distributions with maximized entropy. However, finding such distributions requires solving an ill-conditioned and computation-demanding optimization problem. This problem causes numerical overflow and breakdown when the numerical precision is insufficient, especially for flows like high-speed shock waves. It also prevents modern GPUs from accelerating optimization with their enormous single floating-point precision computation power. This paper aims to stabilize MEM, making it practical for simulating very strong normal shock waves on modern GPUs at single precision. We propose the gauge transformations for MEM, making the optimization less ill-conditioned. We also tackle numerical overflow and breakdown by adopting the canonical form of distribution and Newton's modified optimization method. With these techniques, we achieved a single-precision GPU simulation of a Mach 10 shock wave with 35 moments MEM, surpassing the previous double-precision results of Mach 4. Moreover, we argued that over-refined spatial mesh degrades both the accuracy and stability of MEM. Overall, this paper makes the maximal entropy moment method practical for simulating very strong normal shock waves on modern GPUs at single-precision, with significant stability improvement compared to previous methods.
Physics-Assisted Reduced-Order Modeling for Identifying Dominant Features of Transonic Buffet
Wang, Jing, Xie, Hairun, Zhang, Miao, Xu, Hui
Transonic buffet is a flow instability phenomenon that arises from the interaction between the shock wave and the separated boundary layer. This flow phenomenon is considered to be highly detrimental during flight and poses a significant risk to the structural strength and fatigue life of aircraft. Up to now, there has been a lack of an accurate, efficient, and intuitive metric to predict buffet and impose a feasible constraint on aerodynamic design. In this paper, a Physics-Assisted Variational Autoencoder (PAVAE) is proposed to identify dominant features of transonic buffet, which combines unsupervised reduced-order modeling with additional physical information embedded via a buffet classifier. Specifically, four models with various weights adjusting the contribution of the classifier are trained, so as to investigate the impact of buffet information on the latent space. Statistical results reveal that buffet state can be determined exactly with just one latent space when a proper weight of classifier is chosen. The dominant latent space further reveals a strong relevance with the key flow features located in the boundary layers downstream of shock. Based on this identification, the displacement thickness at 80% chordwise location is proposed as a metric for buffet prediction. This metric achieves an accuracy of 98.5% in buffet state classification, which is more reliable than the existing separation metric used in design. The proposed method integrates the benefits of feature extraction, flow reconstruction, and buffet prediction into a unified framework, demonstrating its potential in low-dimensional representations of high-dimensional flow data and interpreting the "black box" neural network.
China's 'Mind-Boggling' Claims – New AI System Can Design Hypersonic Weapons By Itself Without Human Intervention
Although the US remains the leader in the anti-submarine warfare and artificial intelligence domain, China's efforts to harness "quality data" for military use have put Beijing way ahead of the Pentagon, a former admiral of the US Navy said. A new paper published in a journal run by China's aerospace defense industry claims that Beijing has made significant progress in building an AI (artificial intelligence) system that can design new hypersonic weapons autonomously. "It was frustrating for all of us working with large excel spreadsheets, in deciding which programs to advance and which to curb", said Admiral Bill Moran (retired), a former Vice Chief of US Naval Operations, while speaking at a Navy League webinar on artificial intelligence in November 2021. On March 16, a team of researchers led by Professor Le Jialing with China Aerodynamics Research and Development Centre in Mianyang, Sichuan, published their findings in the Journal of Propulsion Technology. Le has been an advisor to the Chinese military on hypersonic weapon technology for more than three decades, according to the publicly available information. As hypersonic research in China advances to Mach 8 – eight times the speed of sound – and above, the volume of experimental data to be processed and analyzed has also been increasing significantly, researchers say.
Year of the Dog fails to answer the tough questions
What an innocent, carefree year it must have been to spawn so bland a word of the year. It has a nice ring to it, especially when spoken with the Hokkaido lilt the women's curling team -- surprise bronze medalists -- gave it during February's Pyeongchang Winter Olympics. So what if all it means is, "That's right"? Let 2018, the Year of the Dog, end as it began -- on a positive note. Speaking of dogs and beginnings: Sony's robot dog Aibo was a big hit at January's Consumer Electronics Show in Las Vegas.