Jiang Wei first looked at Ning Qingyun, and Ning Qingyun hurriedly replied respectfully: "Qin Ke has read them all. I'm not that fast. I only saw about half of them, which are all the contents that Qin Ke thought were most worth watching."

Jiang Weixian couldn't help but glance at Qin Ke in surprise, remembering that when he first met this boy, he said in the bookstore that he could read a thick textbook in half an hour. He thought he was bragging in front of girls, but now he wants to come here

The boy can really do it.

It takes about a week to read the entire information room... You must know that it is all the information of the research team for more than ten years, and ordinary students may not be able to read it in one year!

This kid is really an amazing genius. No wonder he won the Fields Medal at such a young age.

And it is quite remarkable that Ning Qingyun was able to finish reading half of it in one week. She is worthy of being the daughter of Ning Zongxun and Ji Xiuyu. It can almost be said that she is better than her predecessor.

But Jiang Weixian was never used to praising students easily. He quickly concealed the approval in his eyes and nodded: "Well. You have been practicing with the class for almost two months before, and after reading the information in the reference room, we should be able to talk.

Let's talk about our understanding of the 'Air Turbulence and Climate Prediction' research group... But the whole research group is too broad to talk about, so you can only talk about the current difficulties encountered by the 'Turbulence Group'. Qin Ke, you go first.

"

Qin Ke thought for a while and replied: "We are a physics team. We focus on the physical phenomena and laws of turbulence. It cannot be said that it is incorrect. In fact, the 'Turbulence Group' has indeed achieved good scientific research results in recent years.

.but……"

Turbulence is disordered or chaotic complex fluid motion. This is also an important reason why no one can crack the n-s equation describing fluid flow after one or two hundred years. The "Turbulence Group" has achieved a lot in the past ten years, but none of them have been solved.

It can hardly be called a "major breakthrough". In the final analysis, it is simply too difficult to deal with at the mathematical level.

According to the research group data files reviewed by Qin Ke and Ning Qingyun, after the establishment of the "Turbulence Group", it initially started with Bernoulli's law, which was adopted in hydraulics before the establishment of the continuum theoretical equations of fluid mechanics.

The basic principle is the conservation of mechanical energy of the fluid. That is: kinetic energy, gravity, potential energy, pressure, potential energy = constant.

However, because it only applies to ideal fluids with negligible viscosity and incompressibility, it does not play a significant role in the in-depth study of turbulence. It was soon abandoned. The "Turbulence Group" instead studied the Reynolds equation and the Lorentz equation.

group and chaos theory, and came to a conclusion: specific turbulence is unpredictable, but in a statistical sense, turbulence is predictable.

The group's attention then turned to Batchelor's law, which is a law in turbulence that predicts the details of the dynamics of vortices at different scales - although it is a law, it should actually be called a "conjecture" because it is only obtained from the physical level.

Confirmed, and no one has ever been able to prove it mathematically.

Two years later, the "Turbulence Group" found that without a deep enough understanding of the n-s equation, studying the turbulence phenomenon of viscous fluids that satisfies the n-s equation would be as unrealistic as a castle in the air. The "Turbulence Group" finally focused its energy on turbulence.

The central problem is to find the statistical solution of the Navier-Stokes equation, the basic equation of turbulence.

However, this is a difficult problem that countless mathematicians around the world cannot solve. It is really difficult for an elite team of physics research groups to solve it.

So after three years of hard work with no outstanding results, the "turbulence team" turned back to studying the physical phenomena of turbulence, using various test instruments and data processing systems to measure the characteristic parameters of turbulence or display the flow field, and study how to use various aspects of turbulence.

This time, we have finally achieved good results by improving existing science and technology according to the law. It has made a great contribution to the research of domestically produced large aircraft and engines, and has also given a lot of impetus to weather forecasting.

It can be said that the "Turbulence Group" has gone through a path from physics to mathematics and back to physics. This is also a detour taken by most teams studying turbulence in the world.

While sorting out his thoughts, Qin Ke continued: "But the problem of turbulence is ultimately a mathematical problem. Unless we solve the problem of the existence of smooth solutions in three-dimensional space for the n-s equations of momentum conservation of viscous incompressible fluids, we will never be able to solve the problem of turbulent flow.

A breakthrough has been made in research. The theoretical height determines the depth of application, and the n-s equation determines the future application prospects of turbulence. I suggest that the 'turbulence group' should put at least half of its energy back to the n-s equation."

Jiang Weixian suddenly had a smile in his eyes: "Is this why you and Xiaoning decided to study this millennium mathematical problem?"

"Yes."

"Xiao Ning, what's your opinion?"

Ning Qingyun said seriously: "I have the same view as Qin Ke. Now the 'turbulence group' can put half of its energy into studying the n-s equation itself, and the other half of its energy back to the physics level. Only in this way can it be possible to achieve new breakthroughs in physics.

Inseparable from mathematics, if physical phenomena cannot be described, explained or even proved in mathematical language, it is difficult for the physical phenomena to become theorems. Even if the experiment can be successful if repeated a hundred times, there is no 100% guarantee that the conclusion will be correct."

"Not bad." Jiang Weixian finally couldn't help but praise: "You are all right. But to be honest, n-s equations are very difficult. I have mainly studied physics in my life. Although I have studied partial differential equations for several years, I still can't do it.

I asked Lao Qiu for advice on the n-s equation, but I still found it difficult." Jiang Weixian has always been pragmatic and has no taboo about exposing his shortcomings in front of students:

"At present, the precise solution of the n-s equation can only be obtained in some very simple special case flow problems, or approximate solutions can be obtained by simplifying the equation under some preconditions. Our 'turbulence group' has only recently been able to obtain

It is definitely unrealistic to conduct physical research based on more than a hundred known special case solutions, and to further solve the problem of the existence of smooth solutions of n-s equations in three-dimensional space. So..."

The old academician stared at his two proud disciples: "You two are also important members of the 'Turbulence Group'. From today on, you will end your internship and become assistant researchers. You two will be responsible for the formal mathematics of the n-s equation. You two will be responsible for it every day.

I spent the morning in the office studying the n-s equation, and in the afternoon I did experimental research with the 'turbulence group'. The 'turbulence group' will continue to conduct research on the original physics for the time being."

After making arrangements, the old academician provided support: "Of course, if you have any new breakthroughs in mathematics that need to be verified by the 'Turbulence Group' through experiments, or you need to use supercomputer simulation, you can contact me.

Bring it up here. I will handle all the resources. Of course, if you need any manpower in mathematics, you can just talk to Wei Yuanfu from the Department of Mathematics."

Obviously Jiang Weixian also knew that Wei Yuanfu attached great importance to Qin Kening Qingyun and almost responded to every request, which was more useful than Jiang Weixian's own words.

Qin Ke and Ning Qingyun had no objections to the teacher's arrangements, and were even somewhat grateful for the teacher's thoughtful arrangements.

After leaving the academician's office, postdoc Deng Zhaoliang came up to him and said with a smile: "Oh, I haven't seen you for two months, and I haven't congratulated you in person for winning the Fields Medal."

Deng Zhaoliang just came back today, and he hasn't seen Qin Ke or the others in the past two days.

Since Qin Ke and the two won the Fields Medal, although everyone in the research team ostensibly followed Jiang Weixian's request and treated the two as ordinary graduate students, even senior researchers did not dare to arrange them easily.

Work, not to mention showing off, is a Fields Medal! Its status in the world of mathematics is equivalent to the Nobel Prize!

Who dares to really regard these two youngest Philippine Prize winners in history as ordinary graduate students? So most people greeted them with smiles, showing courtesy and respect in their closeness, especially graduate students, doctoral students and postdoctoral fellows, who treated Qin Ke

Both of them had a certain kind of flattery in their attitudes.

This is one of the reasons why Academician Jiang Weixian adjusted the status of the two of them from intern trainees to assistant researchers.

From that day on, Qin Ke and the two became official members of the "Turbulence Team" as assistant research pilots. Don't underestimate this change in status. In the past, they were interns with the class and had little say in the experiment. They were mainly doing odd jobs.

Master, but after becoming an assistant researcher, he is basically no different from an ordinary member. He can also propose experimental plans and conduct experiments independently.

Jiang Weixian also asked two people to speak by name in every communication meeting to increase their voice in the laboratory.

Time passed very quickly in a hurry, and in a blink of an eye it was December 20th, which was Monday. Jiang Weixian was on a business trip, and the deputy director, Academician Guo Weiyang, was replaced to preside over the weekly meetings of the "Turbulence Group".

Qin Ke yawned quietly. Recently, he was obsessed with studying last year's extreme weather data analysis and modeling. He often didn't go to bed until after three o'clock in the morning, and got up early every morning. Although training with Ning Qingyun on the Oriental Secret Code could be extremely good.

Dadi regained his energy, but the lack of sleep still made him a little sleepy.

Qin Ke was thinking that he could no longer stay up late like this when Academician Guo Weiyang suddenly said: "The task at hand of our 'turbulence team' is to 'improve the aerodynamic characteristics of near-space vehicles in hypersonic thin air'. Qin Ke, what do you think?"

Let’s talk about any good suggestions.”

Fluid mechanics is most commonly used to improve aircraft. At hypersonic speeds, the thin gas flow in the stratosphere will affect the aerodynamic characteristics of the aircraft. How to further improve the shape of the aircraft so that it can fly faster and more stably under the above conditions?

, which is the new task that the turbulence team has received in the past week.

This task is not easy, but Qin Ke has S-level knowledge in "Exploration and Detailed Solution of Nonlinear Partial Differential Equations 'Navier-Stokes Equations'", which contains a chapter on applying n-s equations to improve aircraft.

Thinking that he had not made much achievements in the past three months since he had been working on the project, Qin Ke felt that it was necessary to make some efforts.

"Can I use the whiteboard?" Qin Ke raised his hand.

Academician Guo Weiyang was a little surprised, but he still nodded and said: "Okay."

Qin Ke walked to the big whiteboard in the conference room, picked up the erasable pen, and said while writing: "I have been following the seniors and seniors to conduct research and simulation experiments on this task in the past few days, and found that everyone is using n-s

Special solution to Equation No. 103. This special solution is indeed the most commonly used in studying aerodynamics. However, as the thinness of the air increases, it is difficult to accurately describe the rarefied gas using the linear constitutive relationship of the n-s equation of this special solution.

Transport characteristics.”

A calculation formula quickly appeared on the big whiteboard: "veff[▽u ▽u^t]=▽*(veff▽u) ▽veff(▽u)^t".

"I suggest changing the ordinary equation of n-s to non-Newtonian fluid to make the expression of aircraft surface tension more accurate. At the same time, because high-order nonlinear constitutive relations will make the numerical solution more complicated, I also suggest using the gas dynamics to solve the Boltzmann model equation.

The theoretical unification algorithm is solved by integrating the stress tensor, heat flow and other macroscopic quantities, just like this..."

At the beginning, Qin Ke's brain was still a little slow due to sleepiness, but as he concentrated on thinking, he wrote faster and smoother, and soon the entire whiteboard was filled with complex and difficult mathematical calculations. Everyone in the audience began to

At first they were nodding their heads repeatedly, but later on their faces became dull and they started to look at each other in confusion.

Qin Ke didn't notice the expressions of the people behind him. He got excited about writing, pulled out a large whiteboard, and continued to write more than a dozen calculations:

"Look, through such numerical transformation, the gas dynamic theory coupling method can correct the constitutive relationship of the n-s equation under specific conditions, and through the stress tensor and heat flow obtained by gkua, flow simulation with local rarefaction effects can be realized. So far

Mathematical modeling can be carried out in one step. Using the compressible plate boundary layer and numerical simulation of the flow around the cylinder can accurately deduce the experimental results and reduce the number of experiments. It would be even simpler if supercomputing could be used to achieve complete simulation.

After obtaining the accurate surface tension value, we can infer the shape changes of the aircraft and draw improvement suggestions."

This chapter is not finished yet, please click on the next page to continue reading the exciting content! You’re done!

Qin Ke put down the erasable pen with satisfaction and looked back at everyone: "My suggestion is this. If everything goes well, in about two weeks at most, we can complete this task and submit it to our superiors, and then have a relaxing Spring Festival, right?

It’s very simple? Do you all understand?”

Quiet, the conference room fell into a mysterious silence. Except for Ning Qingyun who nodded gently with clear eyes, the others, including Academician Guo Weiyang, all had a stiff expression and looked at the big white board as if they were reading a book from heaven.

Is this the usual style of painting of the Philippine Awards boss?

As an elite group in the entire research group, and as physics masters who have studied n-s equations for three years, I feel a little doubtful about life at this moment, and even doubt whether my three years of studying n-s equations have been lonely...

Qin Ke couldn't help scratching the back of his head when he saw everyone's expressions.

Can't you understand? No? He looked at the whiteboard again. He should have written very clearly. As long as he is a doctoral student in mathematics, he can understand everything. If he is in the direction of mathematical physics or differential partial equations

Doctoral students should even gain a lot... Well, Qin Ke turned around and looked at everyone again, and suddenly remembered that the people in the audience seemed to be doctoral students in physics...

Academician Guo Weiyang coughed slightly, breaking the somewhat awkward silence in the conference room: "I think Qin Ke's suggestion is very good... very reasonable, um... this... otherwise, specific mathematical modeling and experimental plans, just

Will Qin Ke and Ning Qingyun complete it? Xiao He, you are responsible for the supercomputing application process, and the rest will cooperate with Qin Ke to complete the entire experiment. If you don’t understand anything about Qin Ke’s explanation today, please ask Qin Ke after the meeting.

gram."

Everyone nodded repeatedly and then clapped vigorously.

Although I couldn't understand it, I saw that Qin Ke was full of confidence, and the calculations he wrote seemed very powerful. He could solve the problem in two weeks... Have a good year, and think about it, it won't be a loss at all.
Chapter completed!