Author Archives: Saksham

This blog is an update of my new poetry book, titled, “Few Drops of Consciousness”. The title might hint that this book has got to do something with consciousness. But it would mean that the word “drop” is meaningless here – but this is not true. This book is, in its core, a dedication inContinueContinue reading “Few Drops of Consciousness: a new book out”

This post is a summary of the new preprint that can be accessed here. Contributions: The article was conceived and written after a long series of inspiring discussion with Dr Giulia Marcucci and later joined by an undergraduate student, Adnan Mahmud, who I supervised 2 years ago at the department of CEB, Cambridge. Informal story:ContinueContinue reading ““A complexity perspective on fluid mechanics” : Blog”

“Computer science is no more about computers than astronomy is about telescopes”. This statement, albeit poetic, has its origins in another poetic catchphrase “It from Bit” popularised by J.A. Wheeler in 1990s, arguing that information is at the core of physical systems. Information, encoded into bits, 0s and 1s, can be useful to compute thingsContinueContinue reading “Digital Fluid Mechanics”

Statistical physics-informed turbulence:Navier-Stokes equations have been long used to theorise turbulence; most likely because of the pedestal these equations have got. However, at sub-Kolmogorov scales, the intrinsic effects due to molecules can also get important; which transforms the deterministic nature of fluids to fluctuating, stochastic nature. The additional term in NS is the fluctuating stress,ContinueContinue reading “Turbulence: part 2”

Every first and third Saturday of the month, we organise an interdisciplinary journal club in Pembroke College. Message here when you are at Tennis Court entrance.Timing: 12.30 PM GMTRegister here. You are welcome to attend, participate or present research paper(s) of your choice. 18/12/2021: Speaker – Satyajit Title – Blockchain and Beyond Recorded video4/12/2021: SpeakerContinueContinue reading “Interdisciplinary Journal Club”

In NS equations, non-linear term dominate viscosity term when order of velocities is higher than wavenumber (3). For lower velocity, viscosity term dominate (4). Non-linear terms are coupled (across different length scales), hence onset of turbulence causes distribution of velocities across all frequency domains. It can be understood on performing Fourier transform of NS andContinueContinue reading “Turbulence: part 1”

To prove (or disprove) that the Navier-Stokes equations blow up at finite time, lot of efforts from geometers and topologists are recently garnering attention, after Tao introduced the fluid computer program in 2014. From a physicist perspective, you see a jet of liquid pinching off at a certain time and position, and Eggers especially hasContinueContinue reading “Turing completeness of Euler equations”

https://media.giphy.com/media/c1uPY08OL1hYP9GGx3/giphy.gif As I punt down the Cam river, I see my friend paddling leisurely. Much of this action can be deemed trivial and of not-so-importance use, until: you zoom at the moment, when the paddle touched the surface of water; let this moment play for a while, you see two small whirlpools (and bubbles underneath)ContinueContinue reading “Punting and finite-time singularity problem”

Batchelor (1967) discusses that numerous experimental evidences have pointed to the assumption which every fluid dynamicist make in day-to-day life: assuming fluid flow as smooth and continuous. The length scale for such assumption should be large enough to accomodate molecular fluctuations of density and other properties and small enough to not any effect of spatialContinueContinue reading “Missing mathematical basis of continuum hypothesis (fluid mechanics)”

Moffatt (2021) [1] discusses the two main and complementary approaches to solve the regularity problem. The view by pure mathematicians on the turbulence models is best summarized by Lemarie-Rieusset (2016) as follows: View of large scales and small scale fluid parcels by Lemarie-Rieusset (2018): [1] Moffatt, H. K. (2021). Some topological aspects of fluid dynamics. JournalContinueContinue reading “Turbulence VS Functional analysis”