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Unraveling Turbulent Heat Transport: Boundary Layers, Scalar Scaling, and the Ultimate Convection Debate
Abstract: Scalar Turbulence and Heat Transport Scaling in High-Rayleigh Number Convection This structured literature review synthesizes the theoretical and experimental foundations concerning scalar turbulence and heat transport scaling in high-Rayleigh number (Ra) Rayleigh–Bénard convection (RBC), focusing on the critical role of thermal boundary layers (TBLs). The primary objective is to critically assess the evolution, central…
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Rayleigh-Bénard and Beyond: A Comprehensive Multiscale Review of Convection Cell Dynamics in Natural and Engineered Systems
Summary: Convection Cells – From Fundamental Physics to Global Systems This literature review provides a comprehensive, cross-disciplinary synthesis of dynamics, establishing thermal convection as a foundational mechanism governing heat and mass transport across scientific domains—from planetary interiors to sub-millimeter engineered flows. Core Theoretical Evolution and Debate The field is fundamentally rooted in the model, defined…
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Artificial Intelligence in Fluid Dynamics: A Literature Review of Applications, Challenges, and Future Directions
Summary Decoding Fluid Dynamics: How AI is Redefining Computational Science The study of fluid dynamics (FD) is undergoing a profound transformation, moving from traditional Computational Fluid Dynamics (CFD) to a new paradigm powered by Artificial Intelligence (AI) and Machine Learning (ML). This shift is not merely an optimization of existing methods but a fundamental change…
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Meet The New Family of Blow-Ups Discovered By Google DeepMind
For centuries, mathematicians and physicists have used equations like the Euler and Navier-Stokes equations to describe how fluids move. A big mystery is whether these equations can predict that a smooth, well-behaved flow will suddenly develop a “singularity”—a point where things like velocity become infinite in a finite amount of time. Most previous research has…
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Using State-of-the-Art Problem Solving for the Navier-Stokes Equations
Update 06.09.2025: Conceptual Witepaper on the plan to solve the millenium prize problem. Do you believe that only mathematicians can solve these problems? The Clay Mathematics Institute of Cambridge, Massachusetts (CMI) set out a million dollar prize in May, 2000 for anyone to: Prove or give a counter-example of the following statement: In three space…
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Circular Astronomy 