Research starts with PhD students

Chapter 110 We must take it seriously!

"Numerical simulation of NS equations..."

"Almost done?"

Wang Zhiguo's analysis left Zhou Yongchang, Du Bin and others stunned.

"That's unlikely, isn't it?"

"That's the NS equation. Numerical simulation is very difficult. Very difficult!"

"That does make sense, but..."

"is it possible?"

The most unbelievable part is the research content.

The proof of the properties of the solutions to the NS equation is one of the seven great mathematical conjectures of the millennium and a major problem that has plagued mathematicians for a century.

The numerical solution of the NS equation is also a major problem in the fields of applied mathematics, applied engineering and scientific research, and the related work has troubled countless people involved.

The NS equation is an equation of motion that describes the conservation of momentum for viscous incompressible fluids. It has a wide range of applications, and in each application direction, numerical solutions are a headache for relevant personnel.

Zhou Yongchang was silent for a long time, then asked, "Zhiguo, are you sure the manuscript contains a transformation method that you have never seen before?"

"of course."

Wang Zhiguo nodded vigorously, "At least I have never seen it before."

Before joining the rocket R&D team, Wang Zhiguo had been engaged in fluid mechanics research and was very proficient in the expression and analysis of incompressible fluids.

He said there was a transformation method that he had never seen before, so others didn't dare to say they had seen it.

Wang Zhiguo continued, "I don't understand those changes at all, but when I input them into the computer, the calculation seems to be much simpler. I reversed the calculation and found that the result is more accurate. But I have only tried it a few times and I am not sure."

"How can this be?"

Du Bin couldn't help but say, "There are so many people and teams working on the numerical solution of the NS equation. It's normal to say that there is progress. It's almost completed..."

He shook his head.

There is so much research related to incompressible fluids.

Dozens of similar research projects can be easily found in China, and most of them make some small progress and then end with the publication of a paper.

These small advances often have such narrow scopes of application that they have little impact at all, and those who can actually use them have no idea what the research was about.

"It's no use for us to talk here, let's go back and take a look."

Zhou Yongchang said.

After he finished speaking, he turned around and walked in quickly, and the others hurriedly followed.

They were all a little impatient.

Whether what Wang Zhiguo said was true or not, you only need to look at the manuscript to know. The contents of the manuscript are written very clearly, and everyone is curious whether it is a brand new change method and whether it can really make the calculation more accurate.

That's the NS equation!
There are many difficulties in numerically solving the NS equations. The root cause is that the equations are too complex. Every numerical solution of the NS equation requires huge computing resources and time to make the results more accurate.

They can't wait to see what the specific method is.

……

In the car.

Sheng Zhenhua and Deng Qiang sat together in the back row. They kept staring at Zhang Shuo in front of them with incomprehensible looks in their eyes.

"what happened?"

Zhang Shuo couldn't stand the gaze behind him, so he turned around and asked.

Sheng Zhenhua pursed his lips tightly, as if he had been holding it in for a long time, and asked loudly, "Why don't you agree?!"

"That's free money. It's the bonus given to you by Academician Zhou!"

"You solved such a big problem for them, it's normal to get a bonus of 500,000!"

"If you weren't there, they would have easily spent millions more on subsequent research and experiments, and they might not have found the problem. You saved them time, energy, and money..."

He sighed as he spoke.

Deng Qiang asked doubtfully, "Zhang Shuo, did you not understand at the time? Academician Zhou said that the funding is just a bonus for you in this form."

"We went together, along with other invited people. The Second Hospital can only reimburse some travel expenses and give more work subsidies through formal channels, but cannot give large bonuses to individuals."

Zhang Shuo said, "I understand."

"Got it? Then why did you refuse? Money can be pushed away. I'm really surprised!" Deng Qiang felt it was a pity as he spoke.

Zhang Shuo explained, "If they give me a bonus, I will take it. I am also short of money recently. After graduation, it is not suitable to live in the dormitory anymore. I plan to buy a teacher's apartment next to the school."

He shook his head and said, "The problem is, they don't give me money directly, they say they want to cooperate on a project, they give me funding, which is equivalent to asking for my project and my results!"

"I can show them my research directly, but if they want ownership of the results, five hundred thousand, no way!"

He said it very firmly.

Sheng Zhenhua and Deng Qiang looked at each other with doubts in their eyes. Sheng Zhenhua couldn't help asking, "Is your research about numerical simulation of NS equations?"

"Yes." Zhang Shuo nodded.

Sheng Zhenhua frowned and asked again, "Is it almost done?"

"Correct."

Sheng Zhenhua looked at Deng Qiang again, his face full of surprise and confusion, and he didn't know what to say for a moment.

Do you believe it or not?
That is the study of numerical solutions to the NS equations, which is extremely difficult. Many teams are doing similar research, but usually they only make some progress and then stop.

Finish?

Do not make jokes!
Li Jianfeng's team at the Donggang Mathematical Center does not even dare to say that they can complete the numerical solution of the NS equation!

Zhang Shuo's research is not just about numerical solutions, but numerical simulations, that is, developing a computer method to express the operations and results of the NS equations.

If the research can be completed, I don’t know how many institutions will compete to develop program software and do numerical simulation of equations.

It's like...

Their general algorithm project for second order PDE equations?

Sheng Zhenhua and Deng Qiang were both silent.

When they thought along this line, they found that they believed it a little. Zhang Shuo completed the research on the general algorithm of the second-order PDE equation, and they applied for the project based on this.

The NS equation...

Seems like that makes sense?
Sheng Zhenhua simply changed the subject and asked, "You said you want to buy a teacher's apartment next to the school? Then don't look for an agent. There are two in the Institute of Science and Engineering. They are both close to the school. They are three or four stories high and have large square meters."

Zhang Shuo turned his head in surprise, "The Institute of Science and Engineering still has a house?"

“It was allocated when the building was constructed.”

Sheng Zhenhua explained, "The company's house was originally going to be distributed, but then the house prices kept rising, and it was impossible to distribute a house worth two or three million yuan, so it has been registered under the company's name. Now it can be sold to earn some funds."

"Are you still short of funds?" Zhang Shuo asked again.

Sheng Zhenhua smiled bitterly, shook his head and sighed, "Which organization dares to say that it has no shortage of funds? Funds are never enough!"

"Right."

Zhang Shuo nodded in agreement, and then said, "Then I'll go over and take a look when we get back to school."

……

Speechless all the way.

After returning to Soochow University, Zhang Shuo went to take a look at the house and found that it was just as Sheng Zhenhua said, the house had a good location, a good floor, a large area, and the price was slightly lower than the market price.

He decided it right away.

There is no need to worry about problems when doing business with the Institute of Science and Technology. When the time comes, you can just ask the school to resolve the issue.

After solving the housing problem, he began to adapt to the life of a researcher.

After a leisurely breakfast in the morning, I went to the office of the High Court to start my day's work, doing some research and chatting. It was almost noon, so I went back to the office to take a nap and then continued my research work.

Around six o'clock, we can stroll to have a meal, and also walk around the school and take a walk.

Life is leisurely and beautiful.

At the same time, the research has also made progress. In one day, the progress of the NS equation numerical simulation task increased by nearly '0.5%'.

【Task 3】

[Research project name: Numerical simulation algorithm of NS equation (difficulty assessment: B). ]

【Progress: 94.434%.】

(The mission can be upgraded to A-level.)
(The task can be canceled. The current number of research coins required to cancel the task is 180.)
(The remaining progress requires 30 scientific research coins.)
“Almost 95%!”

Zhang Shuo was also looking forward to the progress of the task.

He did not focus particularly on the research of numerical simulation of NS equations, but his participation in mathematical conferences and the computational work he did at the Second Academy of Aerospace Science and Technology made considerable progress in his research.

Now the speed of my own research is still a bit slow, with an increase of less than 0.5% a day. This is probably because at the end of the research, there are still many very critical issues that need to be solved.

On the other side, the rocket research base of the Second Academy of Aerospace Science and Technology.

Several rocket experts took a 'off-the-book' approach to studying Zhang Shuo's manuscript. They focused on analyzing the several incomprehensible transformations that Wang Zhiguo mentioned.

While studying the transformed form, they also reversed the transformation process, and it took them a day to finally understand a complex transformation.

This complex transformation does not seem to be simpler after the transformation than before the transformation, but when the two forms are analyzed separately by computer, it is found that the accuracy of the analysis after the transformation is significantly higher.

"It's confirmed now!"

"We did more than a dozen analytical calculations and found that the converted forms were more accurate than the results before conversion."

"This transformation is quite ingenious, but I still don't understand the principle. I don't know why it is done this way. There must be a lot of research to be done later..."

Du Bin said a little excitedly.

Others were also shocked. They studied it for a whole day, but in the end they didn't even understand the conversion. They just knew that after the conversion, the results of computer analysis would be accurate.

This is definitely a research result.

We have to ask Zhang Shuo about the specific principles behind it, because due to the complexity of the equation, it is difficult for them to deduce the principles.

Someone exclaimed, "With this conversion, it is no problem to write a paper, and it can even be used as the main result of a research project."

"Many incompressible fluid research projects may not be as good as this conversion..."

"It is mainly because of its wide application and the universality of the NS equation. Many studies are focused on the NS equation in specific physical fields, which is relatively much simpler."

"This is just one transformation. There are several more transformations in the manuscript."

Zhou Yongchang said, "You all should pay attention. Make a few copies when you study it. The original manuscript should be well preserved."

He said and went back to the office.

After sitting down quietly, he thought about Zhang Shuo's problem again. Zhang Shuo helped their rocket team solve big problems and made such great progress in the study of NS equations.

Zhou Yongchang thought about it carefully, picked up the phone and called the Science, Technology and Industry Bureau directly, and then transferred to the second-in-command of the Science, Technology and Industry Bureau, Mr. Li, to report the solution to the pogo problem encountered in the test launch of the heavy-lift carrier rocket.

The heavy-lift launch vehicle is a national strategic scientific research project, and rocket test launches have received a lot of attention.

Teacher Li was also very happy to hear that the problem had been solved, and he said something special, "Professor Zhang Shuo? I think I've heard of him. Donggang University... Is that right?"

"I am currently a researcher at the Institute of Advanced Mathematics of Soochow University," Zhou Yongchang explained specifically.

They didn't talk much on the subject.

Zhou Yongchang said directly, "I am talking about Zhang Shuo. He is doing research on numerical simulation of NS equations, and he has made great progress. His research may have very high application value!"

“I think we need to take it seriously.”

Teacher Li comes from military scientific research background, so he certainly knows what "NS equation numerical simulation" means.

That is research with very high engineering application value.

His voice also became more serious. "Academician Zhou, are you sure? We have made great progress and it has already been applied?"

Zhou Yongchang explained, "I can confirm that the research has made great progress. When he was working here, he used several new conversion methods, and computer analysis found that it would make the numerical substitution more accurate. In addition, he himself said that the research is almost completed."

"This research is under a school youth support program, and I don't think it's a good fit, so I called to specifically talk about it."

Teacher Li was silent for a moment, then said, "Academician Zhou, thank you for your hard work. I know about this matter."

"I'll send someone over to take a look!"

(End of this chapter)