Transport and settling of suspended particles in a simulated estuary: particle-laden freshwater enters a basin filled with seawater. The white iso-surface indicates 50% of the original particle density. Kelvin-Helmholtz instabilities evolve in the shear flow and drive the turbulent mixing. Rayleigh–Taylor instabilities can be observed in the initial settling phase. Based on Direct #Numerical #Simulation.

#sedimentation #estuary #fluiddynamics #turbulence #CFD #computationalfluiddynamics

Another one from the archive: turbulent mixing of sediment-laden freshwater and seawater (black). The white iso-surface indicates a 50/50 mix. The freshwater enters the basin at the bottom left. Direct #Numerical #Simulation.

#sedimentation #estuary #fluiddynamics #turbulence #CFD #computationalfluiddynamics

Snapshot of the turbulent mixing of sediment-laden freshwater (black) and seawater (white / grey) in a modelled estuary. The scene is seen from the top. The freshwater enters from the bottom of the picture.

The results were obtained from a Direct #Numerical #Simulation. Only half of the domain is simulated (the other half is mirrored). Only the interesting part is shown (the simulated domain is actually a lot bigger).

#sedimentation #estuary #fluiddynamics #CFD #computationalfluiddynamics

#numerical : belonging to number

- French: numérique

- German: zahlenmäßig

- Italian: numerico

- Portuguese: numérico

- Spanish: numérico

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From the archive: beautiful visualization of the boundary layer flow at the leading edge of a swept wing. Small disturbances introduced at the left transition to turbulence at the right.
The configuration is idealized for academic research (swept Hiemenz flow).
The results were obtained from a Direct #Numerical #CFD #simulation.
https://ethz.ch/content/dam/ethz/special-interest/mavt/fluid-dynamics/ifd-dam/research/documents/posters/transition-and-turbulent-flows/michael_john_swept_hiemenz_flow.pdf

🔄 Power transforms help reshape data toward a Gaussian distribution
💥 Overflow errors are common when implemented naively
🛠️ This post dives into the cause and shows practical solutions

https://xuefeng-xu.github.io/blog/power-transform.html

#Numerical #Statistics #Python

Power Transform – Xuefeng Xu

Parametric methods that normalize data but require careful handling to avoid numerical instability.

Xuefeng Xu

Many animal species, including primates, birds, and fish, exhibit a sense of number known as #Numerical #Competence, allowing them to discriminate and compare quantities of objects.

This foundational ability is thought to be an ancient cognitive trait, suggesting that the basic mechanics for perceiving quantity are shared by humans and other animals.

https://knowledgezone.co.in/posts/Animals-that-could-do-Math-6762bb557b620f019ff7fbb3

After quite some weeks of work I have quantified the #numerical error of several #FFT implementations compared to my own.

This was done by implementing an arbitrary precision FFT to compute the true value.

For each implementation we compare the L1, L2 and Linfinity norms as well as #rms

The theoretical l2 bound is derived by Nicholas J.Higham in his famous book 'accuracy and stability of numerical algorithms'

The Linf bound from P. Henrici 'Applied and Computational Complex Analysis'

#numerical : belonging to number

- French: numérique

- German: zahlenmäßig

- Italian: numerico

- Portuguese: numérico

- Spanish: numérico

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Fill in missing or incorrect translations @ https://wordofthehour.org/r/translations

We need your help!! Help us improve our translations. :)

We rely on community members to help us improve our translations. If you are a native speaker in one of our supported languages, we strongly...