Chapter 166: Major Advances in the NS Equation? Wang Hao: It must be wrong!
Liu Rongxing is a doer.
He talked to Wang Hao about the research on the phone, and then directly sent someone over, and the next afternoon, the person had already arrived at Xihai University.
There are three people here, one is Hu Yuqun, director of the aerodynamic simulation office, another is researcher Zhao Xiaofeng, and the other is associate researcher Gao Ming.
Wang Hao and Zhang Zhiqiang entertained the three of them together in the Mason Mathematical Science Laboratory, and they exchanged polite words, and the topic quickly turned to project research.
Hu Yuqun said, "Professor Wang, we are going to make a new aerodynamic characteristics simulation system. ”
"Is it the simulation system of the aircraft?" Wang Hao asked.
"It's understandable, except that we're mainly preparing for the moon landing." Hu Yuqun said, "Heavy rockets, including manned spacecraft, have a very high demand for aerodynamic simulation, and the current system accuracy is no longer enough, especially in rockets, which is the biggest problem." ”
Wang Hao was very interested in listening, so he asked a few more questions.
Hu Yuqun also made a brief introduction, which is actually not a secret.
The outside world knows it.
The space agency has long had a manned lunar landing project, and most of the technologies have been overcome, but there is one technology that will take several years to break through, and that is the problem of heavy rockets.
In the domestic Changzheng series, there are several models of launch vehicles.
But in fact, this technology is still lagging behind Ameriken and Xiongguo, because the domestic heavy launch vehicle has not been developed for the time being.
If you want to go to the moon with a manned person, you have to create a heavy rocket that can carry a manned spacecraft, be heavy enough to pay, and fast enough.
It is expected that it will be several more years before such a rocket can be manufactured.
Before the rocket is actually launched, a lot of simulation tests need to be carried out, and they must upgrade the original aerodynamic characteristics simulation system to be able to carry out more high-precision simulation on the computer.
That's the big question.
Their original aerodynamic characteristics simulation system is already very perfect, and what is involved in upgrading is the accuracy of the algorithm inside.
The accuracy of the algorithm is not simply a matter of program logic, but is directly related to the underlying mathematical logic.
To put it bluntly, this research is to simulate the launch of a rocket, and the most difficult part of it is the calculation of aerodynamic forces.
At the bottom of the table is the problem of calculating partial differential equations.
Hu Yuqun said, "At the beginning, we looked for the Institute of Aerospace Aerodynamics, and wanted to let them do the algorithm part. ”
"However, they also said that there is still difficulty in the underlying calculation, and it is very difficult to break through."
"If it's just a program upgrade, the effect is definitely not ideal, let's be honest, we need more precision."
"I heard from the Shencheng Power Institute, you gave a lecture there, which is directly related to the calculation of aerodynamics, and Xihai University has built a new computer laboratory, and you are the direct person in charge, so Director Liu asked you to ask ......."
"Look at this ......"
Wang Hao didn't answer directly, but asked about the details, "The simulation system you talked about, the general peripheral program, we can definitely do it, but the core algorithm, you still have to talk about it in detail, I can be sure." ”
Hearing Wang Hao say this, Hu Yuqun was relieved.
He was most worried that the other party would not understand, so he agreed to it.
At that time, the project cannot be completed, the cost of funds is still a small problem, the time cannot be delayed, and their research must keep up with the progress.
This time, it was Zhao Xiaofeng and Gao Ming, who knew a lot about aerodynamic simulation systems and participated in the construction of core algorithms.
Zhao Xiaofeng said, "In fact, it is still a problem of equation analysis. We need to find a general algorithm in a complex equation, and the conclusions drawn by this algorithm must be close to reality. ”
"For example, the various parts of the rocket, the situation is different, you need to input a lot of parameters, you also need to consider the density of the atmosphere, and even the situation of encountering special clouds."
"There are many parameters involved, and a lot of complex operations will be formed, and some equations cannot be solved, even if they can be solved, the process is too complicated, and there is no way to use a fixed program to get the result."
"In aerodynamic simulations, most of them are approximations, which involve the problem of deviation values, and we need to calculate with higher precision."
"That's the main problem that the core algorithm solves."
Hu Yuqun added, "As long as the core algorithm can be completed, the other requirements are not high, and the normal output of images and numerical data is fine, and it is not necessary to do the whole system, but to make the part associated with the core algorithm, and we have other departments to complete the rest." ”
Wang Hao understood it this time, and he knew that he could do it after thinking about it.
This project was based on his research.
In fact, the same is true.
Liu Rongxing first wanted to find an aerodynamics research institute to complete the project, but later learned that Wang Hao had made a new study, which could approximate the solution of partial differential equations, and could continue to approximate them.
In addition, Wang Hao is also internationally recognized as a top algorithm expert, and he has personally researched two very influential new algorithms.
In this way, it is natural to find Wang Hao to do the core algorithm to be stable, and as for the programming related to the core algorithm, it is a small problem.
So Liu Rongxing didn't even think about the size of the Mason Mathematics Science Laboratory.
Wang Hao agreed, "Listening to what you say, there should be no problem, I have been doing this research." ”
"We require high precision in aerodynamic calculations, but because they are general-purpose calculations, they are only used for simulation, and they must not be able to catch up with the accuracy of top fighter design."
This is true.
The calculation accuracy in the aerospace field is higher, but the use of computers to do simulations will involve the problem of general computing, and there is no way to require excessive accuracy.
Wang Hao continued, "On the issue of accuracy, when we do the core algorithm, we will definitely talk to you, and there should be no other problems." ”
After a few more discussions, the topic turned to the issue of funding.
As soon as Hu Yuqun opened his mouth, he negotiated the price, "Ten million, this has been determined." ”
He continued bluntly, "The funding period is one year, and if it is not completed after one year, we can only withdraw the fund, but if it is completed, the funding will not be recovered." ”
This is the horizontal 'lump sum project'.
Within the specified time, as long as the project can be completed, the funds will belong to the R&D side, but if the project cannot be completed, the capital can only be withdrawn.
Wang Hao thought about it for a while, and didn't even raise the price again, because there was no room left.
This project is still not small, it takes more than a dozen people to work for several months, but in terms of the core algorithm, he can complete it himself, but he needs to do some research and thinking.
The Systems Engineering Division buys the core algorithms.
More than a dozen people work for a few months, and each person is paid a salary of 100,000 yuan, and two million is enough, and the labor cost is so much.
A large part of the 10 million funds will be left.
So there's not much room for price increases.
……
Wang Hao and Zhang Zhiqiang talked about the new project together, in fact, it was the project that was delivered to the door.
They nodded, and the project was there.
It's that simple.
After Hu Yuqun and the three left, Zhang Zhiqiang was still stunned, his face full of disbelief, "So, we talked about a 10 million project?" ”
"yes."
"Seems easy, huh?"
"Hmm."
"We're so good......"
Zhang Zhiqiang wanted to boast to himself, he stopped talking, he thought about it carefully, he seemed to have started to entertain people, and finally sent people away, and there were times to talk in the middle, but it had nothing to do with key issues at all.
He didn't contribute much to the project.
But the main thing is ......
The other party is not interested in him at all!
The two walked out of the director's office together, and saw Zheng Yaojun coming over, and asked, "What were those three people doing just now?" ”
"Send the project." Zhang Zhiqiang said very plainly.
"Send a project? And this kind of good thing? What project? ”
"Ten million projects."
“……”
Zheng Yaojun opened his mouth slightly after hearing this, and he didn't close it for a long time, "Ten million, you're not joking, are you?" ”
"Can I be kidding?" Zhang Zhiqiang also became excited, "Just now, we talked about a project of 10 million, you go and prepare, we are going to get busy." ”
Zheng Yaojun looked at Wang Hao in a daze.
Wang Hao nodded and said, "Zheng Yaojun, get ready, there are only three people in our laboratory now, so I'll assign a job." ”
"Yes, yes." Zheng Yaojun has not yet fully digested the information.
Zhang Zhiqiang became very serious.
"Professor Zheng, you are responsible for docking the project with the system engineers of the Space Agency, especially the core algorithm part, and you must write down in detail if they have any requirements."
The reason why Zheng Yaojun is in charge of docking is because he is a professor of mathematics and an expert in the field of partial differential equations.
Wang Hao looked at Zhang Zhiqiang, "Zhang Zhiqiang, you are responsible for recruiting people, our laboratory needs to expand the staff, you know more about work other than the core algorithm than me, study by yourself how many people are needed." ”
"We still have several researcher places in our laboratory, and there will be postdoctoral places in the future, so you can make a decision depending on the situation."
"I hope to solve everything before the end of the year, and start the project after the year, and strive to complete it within six months, no more than eight months at most."
"Good!"
"Got it......"
……
After Wang Hao assigned the work, he went to the restaurant to eat after seeing the time.
received a big project, saying that he was nervous, but he was mainly responsible for the core algorithm and overall arrangement, and other affairs, including laboratory recruitment, were handed over to Zhang Zhiqiang and Zheng Yaojun.
At this time, he also lamented that there was no available person under him, and he really took on a big project, and he still needed to temporarily expand his manpower.
When I arrived at the restaurant, I happened to meet Xia Guobin.
He sat with Xia Guobin.
Wang Hao also cared about the Navitas Lab project, "How about the project you cooperated with Chuangwei Group?" ”
Xia Guobin smiled, "It's going well, just last month, we have reduced the accuracy to 0.2 microns." ”
"Congratulations!"
The progress that Xia Guobin said is indeed worth congratulating.
As long as the accuracy can be reduced to 0.1 microns, the project can be said to be a great success, and a new microsphere screening method has been developed, which can allow domestic enterprises to master the microsphere screening method.
This technology has been monopolized by Japanese companies, and the international microsphere manufacturing market is also worth billions of dollars.
Navitas Labs was able to break down technical barriers, which is definitely something to celebrate.
Xia Guobin shook his head and said, "I'm not worried about this project, now I'm worried about the next project." ”
"We can continue to cooperate with Chuangwei Group, but they don't have suitable R&D projects for the time being."
"So we want to apply for the project of the Institute of Aeronautical Materials, and I don't know if we can get it, and now the microsphere project has entered the advanced stage, and many people in the laboratory are idle."
"There's nothing to do!"
Xia Guobin smiled bitterly, "If you can't apply for the project of the Institute of Aeronautical Materials, it is estimated that you will have a few months of leisure." ”
It's not a good thing for any scientist to be idle.
Xia Guobin is in charge of an entire laboratory, and dozens of people up and down are all idle, which is completely equivalent to wasting the life of scientific research.
Wang Hao shook his head and said, "I'm also worried now!" ”
"What are you worried about?"
"It's also a matter of the lab, and it's also a matter of the project."
"Huh?" Xia Guobin immediately reacted, "You're talking about the Mason Mathematics Science Laboratory, isn't it not built yet?" ”
"But the project already exists."
Wang Hao said depressedly, "I also took a project just now, 10 million, but it turned out that there was no one in the laboratory at all, there was no project, no one!" ”
"Alas~~~"
He let out a long sigh.
Looking at the sad face in the face, Xia Guobin pulled the corners of his mouth vigorously.
Empty project no one?
It's also so infuriating!
……
The Mason Mathematics Science Lab is busy with new projects.
New projects are also being prepared in the physics lab.
Wang Hao is the main person in charge of the two projects, but he is idle, because all the work is done by others, and he only needs to wait for the project to start.
He is still in charge of the Mason Number Lab, and occasionally deals with some personnel work, that is, the 'recruitment' of the laboratory.
In fact, there are very few things that need to be dealt with by Wang Hao personally, most of them are Zhang Zhiqiang talking about personnel, and Wang Hao agreed after a simple question.
Some need to be handled by him personally, such as a doctoral supervisor who wants to join.
Professor Qi Xiao.
Qi Xiao is a researcher in the computer laboratory and a doctoral supervisor in the School of Information, and when he heard that the Mason Mathematics Science Laboratory had received a horizontal project with tens of millions of funds, he decided to take his doctoral students and move from the sixth floor to the fourth floor together.
Anyway, just join in.
The treatment of the computer laboratory is indeed very good, but they do not have a big project, only two small projects of hundreds of thousands of yuan for the time being, and the funds are very limited.
If he can join the Mason Mathematical Science Laboratory, he and his doctoral students will help with the project, and the funding will naturally not be a problem, and when the time comes, the students will be subsidized.
Employees in society will change jobs, and so will researchers in the laboratory.
Moving from the sixth floor to the fourth floor is not unacceptable, and the temptation to go to work in a new lab next year is too great.
So, Qi Xiao is here.
This made Wang Hao more difficult, of course he hoped that Qi Xiao could come, because Qi Xiao did not come by himself, he still had several doctoral students in information science, and one person could bring several people.
But......
"Does Dean Chen agree?" Wang Hao asked Qi Xiao in a low voice.
"I didn't ask, you just have to agree anyway." Qi Xiao didn't seem to be under any pressure about his betrayal, "Anyway, it's just from the sixth floor to the fourth floor, it's all the same, it's all the same!" ”
“…… Let's go! ”
Wang Hao considered Professor Qi Xiao's ability and the serious shortage of people in the laboratory, and agreed.
As for Dean Chen Qinghua......
I'm sorry, but there is no way for a good bird to choose a tree.
After dealing with this matter, Wang Hao continued to do his own research, and he took advantage of this free time to start summarizing the new research on the NS equation.
Mathematical research requires a quiet environment.
Wang Hao and Zhang Zhiqiang talked about not always bothering themselves, hung a 'Do Not Disturb' sign at the door of the office, and began to concentrate on research.
He also mentors students occasionally.
Most of the students do not need guidance, including Helen, they are in the process of learning and accumulating, enriching their basic knowledge in order to lay a good foundation for future research and development.
Qiu Hui'an is a special one, he studied and studied the Lerangde conjecture at the same time.
Wang Hao is also very concerned about the progress of Qiu Hui'an's research, and Qiu Hui'an is using the method of group theory, combined with mathematical analysis, in the hope of proving the Legend's conjecture.
In this regard, Wang Hao has not thought about it.
Wang Hao didn't plan to think about it carefully, he only occasionally mentioned his own suggestions, and he would discuss his ideas with Qiu Hui'an.
This is what a mentor should do.
If he was directly involved in the research, it would probably be completed quickly, and Le Jeander guessed that this level of research would not be of much significance to Wang Hao.
Therefore, it is good to let students do their own research and cultivate their spirit of research and exploration.
On this day, Wang Hao also found Ding Zhiqiang, and he tested Ding Zhiqiang's learning progress, and the test results were still very satisfied.
So he rewarded Ding Zhiqiang with a textbook-
Nonlinear Functional Analysis.
"You also need more foundation in the direction of mathematical analysis, and nonlinear functional analysis goes further than functional analysis, which is very suitable for you to learn."
"Another ......"
Wang Hao suddenly thought of a question, "You should already be preparing for the graduate school entrance examination, right?" Let's take the math exam. As long as I can pass the line next year, don't worry, just apply to my graduate school. ”
Ding Zhiqiang wanted to cry when he heard it.
Of course, he has plans to go to graduate school, but he originally planned to go to graduate school in informatics.
But in the past year, he has done nothing, all of which he has devoted himself to the study of mathematics, and he wants to be admitted to the graduate school of informatics, and he has to review again.
Math is different.
There is no problem with other basic courses, and the specialized courses in mathematics have become very simple for him.
Now hearing Wang Hao's words, Ding Zhiqiang didn't know whether to cry or laugh, because everything was not in line with his own plan.
He didn't know why he wanted to major in math all of a sudden.
Ding Zhiqiang went back with confusion.
He knew that his life had changed completely at this moment, and at the same time, he felt that the future was bleak.
Mathematics Department?
That's all the territory of geniuses, he's a very ordinary student, majoring in mathematics, what future can he have?
Becoming a math teacher in the future?
……
Wang Hao didn't know Ding Zhiqiang's confusion, he also felt that Ding Zhiqiang's talent was very good, and at least the speed of basic learning was very fast.
He devoted himself to the study of the NS equation, but in the final stage of the research, he was stuck, and the reflection in the system was the stagnation of the inspiration value-
[Inspiration value: 59.] 】
Wang Hao has figured out the rules, S+-level tasks, 20 points is a research stage.
Now it is only the last point, but it has not risen for a long time.
"Ah~~"
He let out a long sigh and thought about a way to break through.
There was a knock on the door.
Wang Hao frowned and shouted, "Come in", and saw Zhou Qingyuan standing outside the door.
He hurriedly stood up and said, "Teacher Zhou, why are you here?" ”
"Don't you know?"
Zhou Qingyuan walked in and asked in surprise, "Yesterday there was big news in the world of mathematics. ”
"What's the news?"
"Isn't that what you're doing about the NS equation? The journal Fundamental and Applied Mathematics published a paper that denied the smoothness of the NS equation under conventional values. ”
"Deny the NS equation problem?"
"Not really." Zhou Qingyuan said, "In the case of allowing the NS equation solution set to be rough, the output of the equation will be very unreasonable, which proves to a certain extent that the NS equation solution set is likely not to be smooth." ”
Wang Hao thought about it and said, "This logic is not rigorous, right? ”
Zhou Qingyuan said, "The logic is indeed not rigorous enough, but the proof is very rigorous, I took a general look and found no problems." ”
"To be published in the journal "Basic and Applied Mathematics", it must have undergone a very detailed review, and the author of the paper is Buckmaster, a professor at the Massachusetts Institute of Technology, a very well-known expert in the field of partial differential equations."
Fundamental Mathematics and Applied Mathematics is one of the top academic journals in mathematics, ranking in the top 10 for a long time, and it is still very authoritative.
Wang Hao frowned and thought for a moment, shook his head and said firmly, "I haven't seen the proof yet, but I think the conclusion must be wrong." ”
"This is in direct conflict with my research!"
"Impossible!"
"Are you so sure?" Zhou Qingyuan was a little surprised.
"Of course."
Wang Hao nodded affirmatively, "This proof, there must be something wrong, I'll take a look right away." ”
(Ask for a commuter pass)
(End of chapter)