Chapter 303: Testing the Mathematical Model of 'Plasma Turbulence'

Xu Chuan didn't care too much about the theft of his manuscript, after all, it was part of the plan.

In the evening of the same day, Zheng Hai sent back the lost manuscript.

Although Xu Chuan was a little curious about which country had taken his manuscript from him, the security personnel were still dealing with this matter, and he was not very easy to ask.

As the days passed, the modeling of plasma turbulence in controlled nuclear fusion reactors was carried out little by little.

In mid-September, about half a month later, the inert neutrino raw data analyzed by NTU and Jiaotong University was completed.

Chen Zhengping called Xu Chuan as soon as possible and handed over the analyzed data to him.

"The analysis data has been sent to you, but the amount of data after analysis is still relatively large, after all, this is a special collision math on the LHC side, do you need our help?" In the office, Chen Zhengping looked at Xu Chuan and asked.

The discovery of inert neutrinos, whether for Xu Chuan or NTU, or for the whole of China, is actually as early as possible. Because in any way, the direction of inert neutrinos has greatly improved the academic influence of individuals, schools, and countries in the academic community.

Xu Chuan thought for a while and said, "It's okay." So, how about I put together a document on how to distinguish and confirm the confidence level of an inert neutrino, and then you process it according to the document, and then hand over the processed data to me to make a Daritz diagram? ”

Chen Zhengping nodded: "It's completely possible, for now, it is most important to increase the confidence level of inert neutrinos from 3 sigma to more than 5 sigma as soon as possible." ”

Xu Chuan smiled: "Then it's troublesome for the teacher." ”

Compared to last year's Chinese New Year, he really won't have much time to process the data of inert neutrinos.

At present, it is more important for him to hurry up and finish the modeling of plasma turbulence, and it is indeed easier to leave the data analysis of inert neutrinos to NTU and Jiaotong University.

Chen Zhengping said with a smile: "Don't be so polite, in fact, we have to thank you for giving this opportunity, after all, for other students, this is rare experimental data." ”

It is also a good thing for NTU and SJTU to allow physics students who have not had the opportunity to participate in CERN experimental data analysis to participate in some high-energy physics data analysis.

After all, not every student studying theoretical physics has the opportunity to follow their supervisor or apply for an internship at CERN.

More theoretical physics students often have a little experimental experience in China or other places to complete their graduation thesis.

This time, the analysis data of photo-inert neutrinos is enough for a large number of physics students at NTU and SJTU to complete their graduation theses. You might even be able to take this opportunity to get a chance to set foot in CERN.

As NTU and SJTU began to analyze the experimental data of inert neutrinos, Xu Chuan's mathematical modeling of plasma turbulence gradually came to an end.

Building a mathematical model of plasma turbulence is difficult to build even without the complex mathematical calculations and theoretical foundations of the underlying equations.

In the process of modeling, Xu Chuan encountered a lot of trouble.

Some things can be solved with various searches and learnings, but there are some questions that simply can't be answered on the web.

For example, when it came time to implant "eddy current direct simulation data" into the model, he encountered a problem.

Because there are differences between the size scales of eddy currents, and both must be solved at the same time, it can be very expensive to solve all turbulence scales in numerical simulations.

Especially when it is used to solve high Reynolds number flows, even if a supercomputer is used, it may not be possible to complete the operation in a short time.

If it's something else, it doesn't matter.

But for real-time control of high-temperature plasma turbulence in controlled fusion reactors, timeliness is life.

You can't do real-time control, and it's too late to say anything until the plasma hits the first wall.

Looking at the rudimentary model on the screen and the half-written modeling program, Xu Chuan exhaled the turbidity in his chest.

To be honest, he's been bothered by this issue for a long time, it's just that he could skip it before and do other work, but now he has to make up for it.

"Perhaps, I need some outside help." Staring at the slowly rotating model on the screen, Xu Chuan shook his head slightly.

Strictly speaking, he has not studied mathematical modeling comprehensively and systematically, and it is okay to write some simple models, but it is almost impossible to solve this problem on his own.

Of course, there is no shame in asking for advice and help when you encounter problems in your research.

Just say, who is better to help?

After thinking about it, a figure appeared in Xu Chuan's mind, and after confirming it, he opened the mailbox, sorted out the problems he encountered, the conditions he needed, and some relevant theoretical data and foundations, and sent it over.

Then he touched his phone again, turned on his prestige, found a familiar number, and sent a message.

After a while, the phone vibrated and a message replied.

"Well, I received an email from you, I'll take a look first, but it may not be solved."

Xu Chuan smiled and replied: "Thank you for your hard work, I'll invite you to dinner when you come back." ”

For the work of mathematical modeling, the first thing he can think of is senior sister Liu Jiaxin.

In 18 years, he returned to China, and his senior sister went to Princeton for further study, and now more than a year has passed.

With her talent for math and her ability to learn, she thought she could learn a lot at Princeton, and maybe she could help him solve this problem.

Putting down his phone, Xu Chuan returned his attention to modeling. I've had to find someone to help me take a look, but it's also necessary to study it myself.

After all, knowledge is such a thing, and you are never afraid of more, but you are afraid of hating less when you use it.

The senior sister's reply was much earlier than Xu Chuan expected, and in the evening, an email to keep an eye on it was replied.

At the same time, he also received a message from the senior sister on his mobile phone: "That, the plan has been sent to your email, you can see if it is suitable, you can tell me again if it doesn't work." ”

When he received the prestige, Xu Chuan was eating, and after replying, he pulled the food on the plate clean in a few bites and rushed back to the office.

When I opened the mailbox, there was an unread email lying inside.

Clicking on the email, Xu Chuan quickly browsed it.

According to the requirements, if you need to simulate the 'direct value of eddy current', whether it is using DNS simulation, LES splitting method, or Reynolds average simulation RANCE method, it will not be able to achieve the required effect."

"Because the characteristic Reynolds number in plasma turbulence engineering problems is generally high, even the maximum scale within the attached boundary layer becomes small, and even the grid scale requirements of the LES model are not much weaker than DNS."

"This is the core foundational issue."

"If you want to reduce the requirements for computer hardware and computing power, maybe you can try to use anisotropic models near the boundary layer, such as the RANCE model, and use the LES model in the area away from the wall, through double mixing to complete an architecture that revives the higher-order model"

Let the Reynolds stress term τ=ρR^ij"$^$" represent the Favre average, and the six-component equation has the following general form:

【ρR^ij/t+(ρu^kR^ij)/xk=ρPij+ρΠij+ρεij】

"At the right end are the generation term, the pressure and strain correlation term, the redistribution term, the dissipation term, the diffusion term and the mass term, where the generated term can accurately obtain the required function."

"The introduction of the transition function F allows the RANS method to act near the boundary layer, while the LES method is used far away from the boundary layer to construct a second-order moment model in the framework of a hybrid RANS/LES:"

【R^hybridij=FR^ij+(1F)R^sgsij。 】

Perhaps such a higher-order moment model has the potential to accurately resolve eddy flow and meet your requirements."

"Hope it can help you."

In front of the computer, Xu Chuan carefully read the solution passed by Liu Jiaxin.

Maybe it's because of the experience of studying abroad for more than a year that has affected some of her personality, or through the computer screen, or just in her own professional field, this senior sister shows much more confidence in the words between the lines in the email than before.

Of course, it has to be said that the solution proposed in this email may actually solve his problem!

Not only is it detailed, but it also lists some of the key nodes in the modeling.

To be able to make such a detailed plan in just a few hours, it is conceivable that not only does she have a deep understanding and high ability in modeling.

I'm afraid that after receiving his email, I have been working hard to solve this problem, otherwise it would be impossible to make such a plan in a few hours, with detailed nodes.

After reading the email, Xu Chuan Lianshan quickly replied with a smile: "I have received it, I will try it first, whether it succeeds or fails, I will tell you." ”

"I have a hunch that it will help me solve this problem. Thank you for your hard work. ”

After downloading the scheme from his mailbox, Xu Chuan reopened the FloEFD modeling tool, made a backup of the original model, and began to revise and write the mathematical model according to his senior sister's ideas.

This time, the modeling process went quite smoothly.

When he typed the last line of equations on the computer and carefully saved the finished model, the whole person also relaxed.

After taking a long breath, Xu Chuan put down the ballpoint pen clipped to his fingertips and looked at the mathematical model on the display screen, with a smile on his face.

"It's finally done!"

After stretching his waist and moving his muscles and bones, Xu Chuan checked the mathematical model he made, and after confirming that there was no problem, he copied it.

With the SSD on which the model was kept, he walked out of the office.

Now that the mathematical model is complete, it's time to put it to the test.

And this requires the use of a supercomputer, and to run this model, even if it is just to calculate and derive the image-only data, the computing power required is far beyond the reach of the human brain.

Unless, his brain is a sixteen-core quantum computer, this is simply impossible.

As a top 985 university, Nan Nature has its own supercomputer.

The high-performance computing center of NTU adopts IBM's large-scale blade cluster, with a theoretical computing peak of 873.6 trillion times per second, to provide computing services for various departments of physics, chemistry, atmosphere, astronomy, materials, and electronics at NTU.

Although its performance is not excellent until now, it is still possible to test the mathematical model in his hand.

Of course, Xu Chuan is not sure whether the supercomputer on NTU's side can bring his model, because the calculation involving turbulence has always been the most complex and computationally powerful of all calculations.

Even if he has made the model as simple as possible, the test of supercomputing is estimated to be quite large.

The theoretical calculation peak is 34 trillion times per second, which is really not much, or even pitiful, for a mathematical model of turbulence simulation control.

Maybe he should go directly to a large national supercomputing center to do this test, but in comparison, it is a lot more troublesome, and he may even have to wait in line or something.

On the other hand, Nanda is different, as long as he needs to, it is a matter of one sentence to stop all other calculations to serve him, so he is ready to try it at Nanda first.

Try it and talk about it, and you won't get pregnant anyway.

With the model, Xu Chuan found the teacher in charge of managing the supercomputing center in the administrative center, and after filling out an application form for the use of supercomputing, the teacher in charge of approval directly stamped the red seal on the application form.

This person's application form, as long as he doesn't want to play games with supercomputing, will be 100% directly passed.

What's more, the teacher in charge of stamping also glanced at the content of the application.

"Testing a Mathematical Model of Plasma Turbulence."

Although he is not a professional, this administrative teacher still knows about the name of plasma turbulence, which is a world-famous problem.

In this case, he passed it without even reporting to the leader.

I'm afraid of delaying this research.

After all, the report can be made up afterwards, but if the matter of this big guy is delayed, it is estimated that the principal can hang him at the school gate and beat him.

(End of chapter)