Chapter 167 Major progress in NS equation? Wang Hao: It must be wrong
Wrong!
Liu Rongxing is a pragmatist.
He talked to Wang Hao about the research on the phone, and then sent someone directly over. By the afternoon of the next day, the person had already arrived at Xihai University.
There were three people coming, one was Hu Yuqun, director of the Aerodynamic Simulation Office, another was researcher Zhao Xiaofeng, and the other was associate researcher Gao Ming.
Wang Hao and Zhang Zhiqiang entertained the three of them in the Mason Mathematical Science Laboratory. They greeted each other politely, and the topic quickly turned to project research.
Hu Yuqun said, "Professor Wang, we are going to build a new aerodynamic characteristics simulation system."
"Is it the aircraft simulation system?" Wang Hao asked.
"It can be understood, but we are mainly preparing for the moon landing." Hu Yuqun said, "Heavy rockets, including manned spacecraft, require very high aerodynamic simulations, and the current system accuracy is no longer enough, especially in rockets.
, this is the biggest problem.”
Wang Hao was very interested in what he heard and asked a few more questions.
Hu Yuqun also gave a brief introduction. In fact, it is 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. However, there is one technology that will take a few years to break through, and that is the problem of heavy rockets.
There are several models of launch vehicles in the domestic Changzheng series.
But in fact, this technology still lags behind American and Xiongguo, because China has not yet developed a heavy-duty launch vehicle.
If we want to carry out a manned moon landing, we must create a heavy-duty rocket that can carry a manned spacecraft, has a load high enough, and is fast enough.
Such a rocket is expected to take several years to be manufactured.
Before the rocket is actually launched, a lot of simulation tests need to be carried out. They must upgrade the original aerodynamic characteristics simulation system to be able to conduct higher-precision simulations on the computer.
This is the big problem.
Their original aerodynamic characteristics simulation system is already very complete, and what they want to upgrade involves 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 situation of rocket launch, and the most difficult part is the calculation of aerodynamic problems.
The lowest level is still the operation problem of partial differential equations.
Hu Yuqun said, "We initially approached the Aerospace Aerodynamics Research Institute and wanted to let them do the algorithm part."
"However, they also said that there are still difficulties in the underlying calculations, and it is very difficult to make a breakthrough."
"If we just upgrade the program, the effect will definitely not be ideal. To put it bluntly, we need higher computing accuracy."
"I heard from the Shenyang Power Institute that you gave a lecture there, which was directly related to aerodynamic calculations. Xihai University has built a new computer laboratory, and you are the direct person in charge, so Director Liu asked me to ask
you……"
"Look at this..."
Wang Hao did not answer directly, but asked for details, "The simulation system you are talking about, the general peripheral programs, we can definitely do it, but the core algorithm, you still have to explain it in detail, so that I can confirm it."
Hearing what Wang Hao said, Hu Yuqun felt relieved.
He was most worried that the other party would agree without understanding.
By then, if the project cannot be completed, the cost of funding will still be a small problem, but time cannot be afforded, and their research must keep up with the progress.
This time it was Zhao Xiaofeng and Gao Ming who knew the aerodynamic simulation system very well and had participated in the construction of the core algorithm.
Zhao Xiaofeng said, "In fact, it is still a problem of equation analysis. We need to find a general algorithm in complex equations, and the conclusions drawn by this algorithm must be close to reality."
"For example, the conditions of each part of the rocket are different. A lot of parameters need to be input, and the density of the atmosphere needs to be considered, and even the situation of encountering special clouds needs to be considered."
"There are many associated parameters, which will lead to many complex operations. Some equations cannot be solved. Even if they can be solved, the process is too complicated and there is no way to obtain the results using fixed procedures."
"In aerodynamic simulations, most of them are approximate calculations, which involve deviation values. We need higher accuracy in calculations."
"This is what the core algorithm mainly solves."
Hu Yuqun added, "As long as the core algorithm can be completed, other requirements are not high. Normal output of images and numerical data is enough. It is not necessary to build the entire system, but to build the parts related to the core algorithm. For the rest, we have
Other departments will complete it.”
Wang Hao understood it this time, and he knew he could do it after thinking about it.
This project was approached based on his research.
In fact, this is also true.
Liu Rongxing initially wanted to find an aerodynamic research institution to complete this project. Later, he learned that Wang Hao had conducted a new research that could approximately solve a system of partial differential equations and could continuously approximate it.
In addition, Wang Hao is also an internationally recognized top algorithm expert. He has personally developed two very influential new algorithms.
In this way, it is natural to ask Wang Hao to do the core algorithm to ensure stability. As for the programming related to the core algorithm, it is just a minor problem.
Therefore, Liu Rongxing did not even consider the scale of the Mason Mathematical Science Laboratory.
Wang Hao agreed, "From what you said, there should be no problem. I have been doing this research."
"We require high precision for aerodynamic calculations, but because it is a general-purpose calculation and is only used for simulation, it will definitely not be able to keep up with the accuracy of top fighter aircraft designs."
This is true.
The aerospace field requires higher calculation accuracy, but using computers for simulations involves general computing issues, so there is no way to require too high an accuracy.
Wang Hao continued, "As for the accuracy issue, we will definitely talk to you when we do the core algorithm. There should be no other problems."
The few people discussed for a while, and then the topic turned to the issue of funding.
Hu Yuqun negotiated the price as soon as he opened his mouth, "Ten million, this is already determined."
He continued bluntly, "The funding period is one year. If it is not completed after one year, we can only withdraw the funding, but if it is completed, the funds will not be recovered."
This is a horizontal ‘bump-sum project’.
As long as the project can be completed within the specified time, the funds will belong to the R&D party, but if the project cannot be completed, the investment will have to be withdrawn.
Wang Hao thought for a moment and didn't even raise the price because there was no more space.
This project is not small, requiring more than a dozen people to work on it for several months, but as for the core algorithm, he can complete it himself, it just requires some research and thinking.
What the Systems Engineering Department buys is the core algorithm.
A dozen people work for several months, and each person is paid a salary of 100,000 yuan. Two million is enough, and the labor cost is just that much.
A large part of the 10 million yuan will be left over.
So there is no room for price increase.
…
Wang Hao and Zhang Zhiqiang negotiated the new project together. In fact, the project was delivered to the door.
They nodded and the project was created.
It's all that simple.
After Hu Yuqun and the others left, Zhang Zhiqiang was still stunned, with a face full of disbelief, "So, we negotiated a 10 million project?"
"yes."
"It seems easy?"
"Um."
"We are so good..."
Zhang Zhiqiang wanted to boast, so he paused. Thinking back carefully, he seemed to have entertained people for a while, and at the end gave them away. There was also a time to talk in the middle, but it had nothing to do with the key issues.
He was talking about the project and made no contribution at all.
But mainly...
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, and asked, "What did those three people do just now?"
"Sending a project." Zhang Zhiqiang said calmly.
"Send a project? Is there such a good thing? What project?"
"Ten million project."
"..."
After hearing this, Zheng Yaojun opened his mouth slightly and didn't close it for a long time, "Ten million, are you kidding me?"
"Can I be kidding?" Zhang Zhiqiang became excited as he spoke, "Just now we negotiated a 10 million project. Go and prepare. We are going to get busy."
Zheng Yaojun looked at Wang Hao blankly.
Wang Hao nodded and said, "Zheng Yaojun, get ready. There are only three people in our laboratory now, so I will assign the work."
"Yeah, yeah." Zheng Yaojun hasn't fully digested the information.
Zhang Zhiqiang became very serious.
"Professor Zheng, you are responsible for docking the project with the space agency's system engineers, especially the core algorithm. What requirements they have must be written down in detail."
The reason why Zheng Yaojun is responsible for the connection is that he is a professor of mathematics and an expert in the field of partial differential equations.
Wang Hao looked at Zhang Zhiqiang and said, "Zhang Zhiqiang, you are responsible for recruiting people. Our laboratory needs to expand manpower. You know more about work other than core algorithms than I do. Do your own research on how many manpower is needed."
"We still have several researcher positions in our laboratory, and there will also be postdoctoral positions after the year. You can make a decision based on the situation."
"I hope to resolve everything before the end of the year, and start formally investing in this project after the end of the year, and strive to complete it within half a year, and no more than eight months at most."
"good!"
"knew……"
…
After Wang Hao assigned work, he checked the time and went to the restaurant to eat.
After receiving a big project, he was said to be nervous, but he was mainly responsible for the core algorithm and overall arrangements. Other matters, including recruiting people for the laboratory, were left to Zhang Zhiqiang and Zheng Yaojun.
At this time, he also lamented that he had no available people. If he took on a big project, he would need to temporarily expand his manpower.
When we arrived at the restaurant, we happened to meet Xia Guobin.
He sat with Xia Guobin.
Wang Hao was also concerned about the project of NanoVis Laboratory, "How is the project you cooperated with Chuangwei Group?"
Xia Guobin smiled and said, "It went very smoothly. Just last month, we have reduced the accuracy to 0.2 microns."
"Congratulations!"
The progress Xia Guobin mentioned is indeed worthy of congratulations.
As long as the accuracy can be reduced to 0.1 micron, the project can be said to be a great success. 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 worth billions of dollars.
NanoLab's ability to break down technical barriers is definitely something worth celebrating.
Xia Guobin shook his head and said, "I'm not worried about this project. Now I'm just worried about the next project."
"We can still continue to cooperate with Chuangwei Group, but they do not have suitable R&D projects for the time being."
"So we want to apply for a project from the Institute of Aeronautical Materials, but we don't know if we can get it. Now the microsphere project has entered an advanced stage, and many people in the laboratory are idle."
"There's nothing to do!"
Xia Guobin smiled bitterly, "If I can't apply for the Aeronautical Materials Institute's project, I'll probably be idle for a few months."
For any scientific researcher, leisure time is not a good thing.
Xia Guobin is in charge of an entire laboratory, and dozens of people are idle, which is a complete waste of scientific research life.
Wang Hao shook his head and said, "I'm worried now too!"
"What are you worried about?"
"It's also a matter of the laboratory and the project."
"Ah?"
"But the project already exists."
Wang Hao said depressedly, "I just accepted a project for 10 million, but it turned out that there was no one in the laboratory. There was only a project, but no one!"
"Alas~~~"
He let out a long sigh.
Looking at the sad face in front of him, Xia Guobin forcefully pulled up the corners of his mouth.
Are there projects but no people?
This is so irritating!
…
The Mason Mathematical Sciences Laboratory is busy with new projects.
The physics laboratory is also preparing new projects.
Wang Hao is the main person in charge of the two projects. On the contrary, he is free because all the work is done by others and he only needs to wait for the project to start.
He still sits in charge of the Mason Mathematics Laboratory, and occasionally handles some personnel work, that is, the laboratory's 'recruitment' issue.
In fact, there were very few cases that required Wang Hao to handle them personally. Most of them were done by Zhang Zhiqiang who talked about the personnel, and Wang Hao agreed after a brief inquiry.
Some need to be handled by him personally, such as if a doctoral supervisor wants to join.
Professor Qi Xiao.
Qi Xiao is a researcher in the Computer Laboratory and a doctoral supervisor in the School of Information. When he heard that the Mason Mathematical Science Laboratory had received a multi-million-dollar horizontal project, he decided to move the doctoral students from the sixth floor to the fourth floor together.
Anyway, just join in.
The salary in the computer laboratory is indeed very good, but they don't have any big projects. Currently they only have two small projects worth hundreds of thousands, and the funds are very limited.
If he can join the Mason Mathematical Sciences Laboratory and help with projects with his doctoral students, funding will naturally not be a problem. When the time comes, he will also be able to provide subsidies to the students.
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 think about working in a new laboratory next year is too great.
So, Qi Xiao is here.
This puts Wang Hao in a dilemma. Of course he hopes Qi Xiao can come, because Qi Xiao is not coming by himself. He also has several doctoral students in information science, and one person can lead several people.
but……
"Does Dean Chen agree?" Wang Hao asked Xiang Qi Xiao in a low voice.
"I didn't ask, just agree to it anyway." Qi Xiao seemed to have no pressure at all about his betrayal, "Anyway, it's just the same from the sixth floor to the fourth floor!"
"……Fine!"
Wang Hao considered Professor Qi Xiao's ability and the serious shortage of people in the laboratory, and finally agreed.
As for Dean Chen Qinghua...
Sorry, there is nothing we can do if a good bird chooses a tree to roost in.
After handling this matter, Wang Hao continued to do his own research. Taking advantage of this free time, he began to summarize the new research on the NS equation.
Mathematics research requires a quiet environment.
Wang Hao and Zhang Zhiqiang talked about not disturbing themselves all the time, so they hung a "Do Not Disturb" sign at the door of the office and began to concentrate on research.
He occasionally mentors students.
Most students do not need guidance, including Helen, who are in the process of learning and accumulation. Only by enriching their basic knowledge can they lay a solid foundation for future research and development.
Qiu Hui'an is a special one. He studied Legendre's conjecture while studying.
Wang Hao is also very concerned about Qiu Hui'an's research progress. Qiu Hui'an is using group theory methods and mathematical analysis to prove Legendre's conjecture.
Wang Hao has not thought about this aspect either.
Wang Hao didn't intend to think about it carefully. He only occasionally made suggestions and discussed 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. Legendre 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 research and exploration spirit.
On this day, Wang Hao also found Ding Zhiqiang. He tested Ding Zhiqiang's learning progress, and the test results were very satisfactory.
So he rewarded Ding Zhiqiang with a textbook——
"Nonlinear Functional Analysis".
"You still need more foundation in mathematical analysis. Nonlinear functional analysis is a step further than functional analysis and is very suitable for your study."
"in addition……"
Wang Hao suddenly thought of a question, "You should be preparing for the postgraduate entrance examination, right? Take the mathematics department. As long as you can pass the exam next year, don't worry, just apply for my graduate school."
Ding Zhiqiang felt like crying.
Of course he had plans to take the postgraduate entrance examination, but he initially planned to take the postgraduate entrance examination in information science.
But in the past year, he has done nothing and devoted himself entirely to the study of mathematics. He wants to take the master's degree in information science and has to review it again.
Mathematics is different.
There are no problems with other basic courses, and professional courses in mathematics have become very easy for him.
Now that he heard Wang Hao's words, Ding Zhiqiang didn't know whether to cry or laugh, because everything was inconsistent with his own plan.
He didn't even know why he suddenly wanted to major in mathematics.
Ding Zhiqiang went back confused.
He knew that his life had completely changed at this moment, and he also felt that his future was bleak.
Department of Mathematics?
That's the realm of geniuses. What kind of future can he, a very ordinary student, majoring in mathematics, have?
Be a math teacher in the future?
…
Wang Hao didn't know about Ding Zhiqiang's confusion. He also felt that Ding Zhiqiang was very talented and could at least learn the basics very quickly.
He devoted himself wholeheartedly to the research of NS equations, but got stuck at the final stage of the research. The reaction in the system was the stagnation of inspiration value——
[Inspiration value: 59.]
Wang Hao has figured out the rules. For S+ level tasks, 20 points is a research stage.
Now it's only the last point away, but it hasn't risen yet.
"Alas~~"
He let out a long sigh and thought about a way to break through.
The door rang.
Wang Hao frowned and shouted, "Come in" and saw Zhou Qingyuan standing outside the door.
He quickly stood up and said, "Teacher Zhou, why are you here?"
"do not you know?"
Zhou Qingyuan walked in and asked in surprise, "There was big news in the mathematics world yesterday."
"What news?"
"It's related to the NS equation. Aren't you doing this research? The magazine "Basic and Applied Mathematics" published a paper that denies the smoothness of the NS equation under conventional values."
"Has the NS equation problem been proven?"
"That's not true." Zhou Qingyuan said, "It's that when the solution set of NS equations is allowed to be rough, the output of the equation will be very unreasonable. To a certain extent, it proves that the solution set of NS equations is probably not smooth."
Wang Hao thought about it and said, "Isn't this logic rigorous?"
Zhou Qingyuan said, "The logic is indeed not rigorous enough, but the proof is very rigorous. I took a rough look and found no problems."
"Being published in the journal "Basic and Applied Mathematics" must have gone through very careful review, and the author of the paper is Buckmaster, a professor at MIT and a very famous expert in the field of applications of partial differential equations."
"Basic and Applied Mathematics" is one of the top academic journals in mathematics. It has been ranked in the top ten for a long time and is 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 is definitely wrong."
"This directly conflicts with my research!"
"impossible!"
"Are you so sure?" Zhou Qingyuan was a little surprised.
"certainly."
Wang Hao nodded affirmatively, "There must be something wrong with this proof. I'll take a look right away."