LBM Lecture 5: Boltzmann equation and BGK operator

In this lecture, I introduce the Boltzmann equation which is the conservation law for the PDF. The BGK collision operator is also introduced.

[@salahkouhen1605]

I love your writing! Hypnotic to watch. Your explanations are great as well, really enjoying this course.

[@jhanolaer8286]

how to simplify to understand of bhatnagar gross krook collision formula?😊

[@navarajahsubramaniam6220]

Professor, what is the significance of the relaxation time(Tau) ? what exactly are we doing by assuming SRT model ? My understanding is we are trying to relate f to feq but couldn't figure out the relevance. Hope you can clarify on this, thank you.

[@profamitgupta]

Please consider watching lecture 4 where the significance and interpretation has been discussed.

[@navarajahsubramaniam6220]

@@profamitgupta Thank you Dr Gupta. These are some excellent lectures. Helped me a lot

[@riddhamsadana3282]

Sir, what are the preliminaries before watching this playlist? I am not getting these equations basically, for instance, the conservation equation in this video.

[@profamitgupta]

Ideally you should have completed undergraduate level courses on fluid mechanics and thermodynamics. A course on transport phenomena can also suffice.

[@riddhamsadana3282]

@@profamitgupta Thank you sir.

[@fuadhasan1258]

Hi Amit, can you please rearrange your playlist. Lecture 1 is the last one on the list.

[@profamitgupta]

Done.

[@shaikasif6447]

Professor why we considering the 0th, 1st and 2nd moments with microscopic velocity? why not position x_i ?

[@profamitgupta]

Because the distributions are written in such a manner that moments have to be taken with microscopic velocity only

[@shaikasif6447]

@@profamitgupta Thank you Professor