Chapter 587 Turbulence and Navier-Stokes Equation
Because they had interned in Professor Duan Yonggong's laboratory and participated in the research work of Professor Hu Qingfeng, Professor He Liangfu, and Professor Kopet from Deguo, Qin Ke and Ning Qingyun only went through a short adaptation period of two or three days.
After that, I became familiar with studying and living in the "Air Turbulence and Climate Prediction" research group, and began to invest in it and enter my own study career as a classmate.
Their postgraduate study is also different from ordinary postgraduate students. It is entirely their own decision whether to go to the classroom or not. Most of the current postgraduate courses are relatively superficial for these two people, with only a few elective courses or professional courses.
The two of them would only listen to the content if they were interested in it. The rest of the daytime basically stayed in the "Air Turbulence and Climate Prediction" research group.
After these few days of getting to know each other, Qin Ke had memorized everyone's faces and names, and also took simple notes in private, recording everyone's age, personality, hobbies, and family circumstances.
In the evening, in the study room of the two of them in "Little House No. 2", Ning Qingyun watched Qin Ke making forms and couldn't help but quietly asked: "Qin Xiaoke, what is the use of recording these?"
Qin Ke couldn't help but feel happy when he saw that there were only two people here, and the girl with a single ponytail was a little guilty, as if she wanted to cover him up. He kissed the girl's pink and smooth face and said with a smile: "Although this is not worth it.
It's a good thing to be publicized publicly, but it's not a shameful bad thing, so you don't need to be so nervous. I made a similar form when I first went to college, but you may not have noticed."
Qin Ker asked Wei Guang to open the form in the laptop. Ning Qingyun, who had a blushing face, saw the "Basic Science Class Directory" form file, which also recorded the approximate names of everyone in the class, except for her and Qin Ke himself.
information.
"Whenever you arrive in a new environment and want to actively integrate into it, you should chat more and learn more information, and record everyone's key points, including likes, dislikes, taboos, and simple family situations. Only in this way can you get along well with the people around you.
Well, avoid accidentally 'stepping on thunder'. For example, if someone gets divorced, you have to judge whether his attitude towards the matter is optimistic, or whether he regards it as a shame and a great shame. If he is optimistic, you can mention the dating show on TV to him.
Just kidding, if you are negative and taboo about others mentioning this matter, then in front of him, even when talking to others, try not to involve sensitive words such as blind dates, marriage, divorce, etc. We learned these in the first semester of our freshman year
Didn’t the teacher mention it in the elective course on human relations?"
Ning Qingyun nodded with some admiration: "I did learn it, but the teacher didn't explain it in such detail, let alone teach us how to do it."
"Putting what you learn into practice, improving interpersonal relationships based on theory, you can see my form is more professional than the form I used when I first entered university. The 'Air Turbulence and Climate Prediction' research group is where we have to study for a long time, we don't have to
It's enough to join the so-called internal faction and firmly be a direct descendant of Teacher Jiang, but you should also try your best to create a comfortable environment and atmosphere to make learning and scientific research more enjoyable, right?
Qin Ke thought and did this. With his social skills and unique personality charm, and taking the initiative to invite guests twice, he quickly led Ning Qingyun to become familiar with the people in the research group.
, everyone became less unfamiliar and scrupulous about the two of them, and had more sincere enthusiasm.
Especially those PhD students who are also interns. They are only seven or eight years apart in age, and most of them are simple-minded. Qin Ke and Ning Qingyun, who are already world-famous mathematicians and are research fellows in the Department of Mathematics, have nothing to do with it.
They are very happy to interact with them.
For example, the extroverted postdoctoral fellow Deng Zhaoliang is particularly enthusiastic about Qin Ke and has been proactively introducing him to various experimental equipment and the status of several groups within the research group.
Deng Zhaoliang is also a returnee. He has a Ph.D. in physics from MIT. He is one year later than Chen Licheng, who studied in the MIT Department of Mathematics. However, he has a good relationship with Chen Licheng. Qin Ke saved Chen Licheng's life last time. Deng Zhaoliang is extremely grateful.
Naturally, Shi was extremely close to Qin Ke.
Of course, the boys were still a little nervous when faced with Ning Qingyun, who was beautiful, youthful and always had a cold aura, and were too embarrassed to get close to her. However, Qin Ke and Qin Ke soon became friends and could have some fun.
Colorful jokes and even some heartfelt remarks about close friendships.
Under Ning Qingyun’s snack offensive (Qin Ke’s guidance), the girls also got along very well with Ning Qingyun—most of the research group was men, but there were also about ten girls, most of whom were doctoral students or postdoctoral fellows.
Feeling that the atmosphere around the laboratory had become noticeably warmer, more relaxed, and more cheerful, Ning Qingyun had to admire Qin Ke from the bottom of his heart. He was thoughtful, enthusiastic, and skillful. It was unnatural for Qin Ke to be unpopular.
This day is Friday, and the research team’s weekly summary report exchange meeting is held in the conference room on the sixth floor.
All members of the research team in the laboratory building must attend such a summary report exchange meeting. At the meeting, they mainly share their recent research results and problems encountered.
Meeting minutes are usually taken by interns, and then reviewed by a researcher. As a newcomer, Ning Qingyun naturally takes on the task of recording.
She was very familiar with the records, which surprised the researcher who was cooperating with her, Yu Xiaoqing. Sister Qing asked quietly: "Xiao Ning, have you done records before?"
"Well, I have done similar work in other research groups before." Ning Qingyun nodded.
Sister Qing gave her a thumbs up.
Qin Ke and Ning Qingyun both listened carefully to such meetings and learned many details that were not accessible in books.
For example, researcher Zhuang Huichao said: "Recently, our group encountered a problem. When using the semi-Lagrangian method to calculate the advection term and during spatial discretization, if the central difference of second-order precision is used, it will lead to the upstream point of the Grangian
The solution dilemma, as well as the lack of conservation problems caused by upstream point variable interpolation, if the accuracy is further improved, the current service computing power in our computer room cannot keep up, and we need to apply for Sunway TaihuLight's supercomputer to calculate the data..."
Qin Ke looked through the information and found that the new amount of data in the research group has increased by more than 30TB every year, and it is also showing a trend of accelerating growth.
No wonder a supercomputer is used. This amount of data cannot be processed by ordinary server groups.
Qin Ke hurriedly flipped through the information and put it aside. He continued to listen carefully and jotted down some issues that he thought were necessary to continue searching for information or worthy of attention.
The exchange of reports continues.
"Recently we have tried to use radar echo data to conduct short-term precipitation forecast tests..."
"Now that our experimental data is getting larger and larger, it is too inefficient to extract information by manually writing algorithms. I suggest introducing artificial intelligence to automate data analysis and information extraction..."
Artificial intelligence analyzes ocean data? This is a good direction.
Qin Ke thought of LV3 Shimmer. With Shimmer's data analysis and screening capabilities at this time, it is still very difficult to deal with such a large-scale data. It is estimated that it will have to be upgraded to LV4 to barely meet the requirements of the current research team. If he wants to be able to handle it with ease,
Highly intelligent data analysis, data drawing and data prediction and warning, I am afraid that I will reach LV5.
Qin Ke was thinking about it when Academician Jiang Weixian suddenly said: "Qin Ke, you have written a paper on climate phenomena under extreme weather before. Please tell me about the factors that affect the climate. You can talk about as many as you can think of."
Qin Ke was stunned, why did he suddenly ask questions?
However, this should be considered a part of postgraduate study. With Qin Ke's physical knowledge base at this time, he could answer such a simple question with his mouth open, not to mention that he had read a lot of literature in order to write a thesis. So he almost wanted to
Without thinking, he answered directly:
"There are many conditions that affect the climate. Different regions and different terrains will have different impacts on the climate under different conditions. These are all natural geographical factors. In addition, there are global warming, melting glaciers, El Niño phenomenon, rising sea levels, etc. Sexual factors will also affect my country's climate to a certain extent. Physical and chemical factors caused by human activities will also have a significant impact on the local climate, such as vehicle exhaust emissions, chemical pollutant emissions, human modification of topography, etc. In addition, the turbulence effect caused by atmospheric movement on the surface will also have an unpredictable impact on the climate."
Academician Jiang Weixian nodded slightly, then turned to Ning Qingyun and said: "Turbulence occurs at large Reynolds numbers. Xiao Ning, can you briefly talk about the relationship between Reynolds number and turbulence?"
Ning Qingyun thought for a while and replied: "When the Reynolds number is small, it is laminar flow, because the viscous force has a greater impact on the flow field than the inertial force, making the fluid flow relatively stable. If the Reynolds number is large, the opposite is true, and the viscous force has a greater impact on the flow field than the inertial force.
The influence of stagnation force on the flow field is less than that of inertial force. After the flow speed exceeds the critical value, the fluid flow will become unstable due to the flow speed, resulting in random motion in all directions, forming a chaotic and irregular turbulent flow field (vortex)."
Academician Jiang Weixian nodded again. Of course he knew that these two students could answer the questions. He just wanted everyone to see with their own eyes the solid basic skills of his disciples. He looked at the two of them: "You should be familiar with the situation of this research group. The research group
It is also divided into five groups internally. From today on, you two will specifically follow up on the research of the turbulence group."
There was a slight commotion around them, but it quickly quieted down. However, the looks towards Qin Ke and Ning Qingyun became complicated, with regret, sympathy, expectation and envy.
After the meeting, everyone dispersed and returned to their seats. The postdoc Deng Zhaoliang next to him quietly said to Qin Ke: "Academician Jiang seems to have high expectations for you, and he actually asked you to study turbulence."
The so-called turbulence refers to a complex nonlinear fluid motion state that changes strongly in time and space, is multi-scale, and is irregular.
The first person to discover and study the phenomenon of turbulence in fluid motion was Reynolds, a physicist from Eagle Country, and defined that there are two flow states with completely different structures inside the fluid: laminar flow and turbulent flow, which is what Ning Qingyun just answered.
Answer.
If there is any part in fluid mechanics that is the most difficult and complex, apart from the N-S equations spanning mathematical physics, it would be turbulence.
Because turbulence is irregular and chaotic, if you express the turbulence of a small section of river as a function and draw it as a graph, you will see... What is a mess, just like a child's ignorant scribblings?
The pile of lines makes people’s scalp numb.
If fluid mechanics is a pit, then turbulence is an abyss with no bottom.
Werner Carl Heisenberg, the famous Chinese physicist, founder of quantum mechanics and Nobel Prize winner in physics, once said: "If I saw God, I would ask him two questions:
What the hell is relativity? What the hell is turbulence? I think he would know the answer to the first question."
This great physicist of quantum mechanics studied turbulence before studying quantum mechanics. The title of his doctoral thesis was "On the Stability and Turbulence of Fluid Flows." However, a year later, he wisely discovered that turbulence is a difficult problem.
Facing the abyss of achievements, he decisively changed his career to study quantum mechanics, and eight years later won the Nobel Prize in Physics for his research results in quantum mechanics. When he became old and became famous, he tried to return to turbulence research with satisfaction, but he still
There wasn't much progress, and I finally gave up again, which is why I made the sentimental words above.
——God will know the answer to the theory of relativity, but not the answer to turbulence.
Deng Zhaoliang was probably afraid that his words would scare Qin Ke and Ning Qingyun. Seeing the two of them looking at each other, he quickly added: "The 'turbulence team' is known as the 'elite team' in our research group. Basically, it only performs well."
Only members of the group are eligible to enter. There are currently only nineteen people. Counting you, there are only twenty-one. The group leader is Academician Jiang Lao himself. The research on the N-S equation in the research group is also mainly in the 'turbulence group'.
"
This chapter is not finished yet, please click on the next page to continue reading the exciting content! As he spoke, he lowered his voice and said mysteriously: "Do you know about magnetic confinement controllable nuclear fusion? The turbulence team is also studying related key issues-magnetism
Fluid mechanics Instabilities due to turbulence phenomena.”
He sighed: "Because this group is too high-end, we stay away from it, but we are also eager to join this group one day, because it means that our strength has been recognized by Academician Jiang Lao, and we have become the elite in the research group. Speaking of which,
Do you know the relationship between the N-S equation and turbulence?"
Qin Ke smiled and said: "I know a little bit. To describe the turbulence phenomenon through the N-S equation, in mathematical language it is: whether the determined nonlinear partial differential equation has a long-term irregular asymptotic solution. Laminar flow is the N-S equation at a small Reynolds number.
The only solution to the initial boundary value problem is that as the flow Reynolds number increases, the flow changes from laminar flow to turbulent flow. This can be seen as the changing properties of the solution to the initial boundary value problem of the N-S equation. When the Reynolds number increases to the critical point, the N-S equation bifurcates.
Solution, the turbulence phenomenon is the asymptotic irregular solution of the N-S equation."
Deng Zhaoliang was stunned for a while, and then he gave a thumbs up: "As expected of Academician Jiang Lao's disciple, I admire you, I admire you. If this is called a little understanding, then I think we doctoral students can collectively shut themselves off."
."
From this day on, Qin Ke and Ning Qingyun joined the turbulence team.
Unlike other groups, the turbulence group does not need to leave the laboratory or travel around for inspections, because most research work is completed through theoretical derivation and small experiments.
Qin Ke and Qin Ke have not yet achieved results in the physics major, but Mr. Qiu from Qiuzhen Academy has called them to ask them to start preparing for teaching.
At the same time, in the Lime Plant Breeding Laboratory, where all experimental equipment has been deployed, research on computational seed science and seed DNA is also in full swing...
Of course, what attracted the most attention from the international mathematics community was IMU’s key review of Qin Ke’s proof of the Riemann Hypothesis.
(/_)
Chapter completed!