Scholar’s Advanced Technological System

Chapter 433 Applying for Supercomputing

After receiving Lu Zhou's reply, Carlson basically gave up any hope, and the awarding of the Millennium Problem Award was put on hold.

However, it is not known who leaked the news, and the news that the Clay Institute canceled the original awarding plan spread like this.

And in the end, it was passed on, and it was passed that Lu Zhou refused to accept the award.

Since the NS equation was solved, many media have been paying attention to the one million dollar reward on the millennium puzzle. After all, for most people who don't pay attention to mathematics, whether the NS equation solution exists is proved to be far less impactful than a million dollars...

The New York Times reporter wrote a commentary.

【…After the Russian mathematician Perelman refused to accept the one million dollar reward, the Chinese mathematician Lu Zhou also rejected the one million dollar reward. The millennium problem seems to be haunted by a mysterious spell. Those who solve these propositions eventually lose interest in money? 】

After receiving the newspaper from Hardy, Lu Zhou threw it into the trash can after reading it, shaking his head.

"It's nonsense. When did I say that I refused to accept the award? I just told the Clay Institute to wait, because I am very busy and I don't have time to fly to Paris recently."

Hardy: "Professor, did you turn down the award from the Clay Institute because you couldn't spare the time to accept it?"

Lu Zhou emphasized, "It's a delay."

Hardy shrugged helplessly: "Okay, it's postponement...Professor, I actually have a suggestion, but I don't know whether to say it or not."

Lu Zhou glanced at him: "What suggestion?"

Scratching the back of his head embarrassingly, Hardy said with a shy smile, "I mean, if you really don't have time, you can send me to Paris to accept the award for you. Your research is very busy, but I am I don't mind going out for a long trip..."

Lu Zhou: "..."

This guy……

Have you been too busy recently?

...

The rumors about the outside world are just a small episode for Lu Zhou.

He is busy with plasma turbulence research, but he doesn't have time to hold a press conference to clarify such boring things.

Apart from the award presentation, the troubles that the NS equation brought to him were not just the media's excessive attention, but also from other aspects.

For example, since he returned from Brazil with the Fields Medal, his mailbox has been filled with invitations from various places.

Some of them are from research institutions at home and abroad, some are from a university ranked top 100 in the world in mathematics, and some are not even from academia at all, but from a TV series or a talk show...

After throwing all these emails to Xiao Ai to deal with, Lu Zhou felt much more relaxed.

In terms of humane rejection and handling of spam, Xiao Ai is like his intimate little padded jacket. After he demonstrated it a few times, he is now more and more handy.

After arranging these trivial matters, Lu Zhou continued to return to his research work and began to study the problem of plasma turbulence.

It is worth mentioning that the difficulty of turbulence problems mainly comes from two categories of problems.

The first category comes from the complexity of the system and the environment, which comes from the diversity of turbulent motion systems.

Taking spacecraft as an example, with the change of flight altitude, speed, and even the temperature of the area and material surface, the gas environment and macroscopic mechanical environment of the spacecraft are constantly changing.

As for the second type of complexity, it comes from the methodology of classical physics.

The traditional reductionism starts from the most basic components of the motion of matter, and establishes the evolution equation of motion from the interaction rules between the basic components. This sounds very simple, after all, many formulas of classical physics do not even need the methods of advanced mathematics.

However, in physics, "more is more complex".

Also take the aircraft as an example, the flow field around a Boeing 747 will contain 10^15~10^24 microfluidics, do a mechanical analysis for each microfluidics, and consider the disturbance caused by each other, even if Even if all the computers in the world are used, it is difficult to complete such a huge amount of calculation.

Therefore, all the models established by most researchers who do fluid dynamics analysis are phenomenological. Different scholars use the same CFD method, and even get completely different results.

It is for this reason that turbulent CFD calculations based on engineered closure theory are often referred to as "art" rather than science.

The reason why people are so obsessed with the smoothness and existence of the solution of the NS equation is not just to know whether the solution that cannot be found exists, but to hope that mathematicians can study this equation. get something.

It may be a structural quantity for calculating the boundaries of the subsonic region and the sonic region, or it may be an approximate weak form applicable in a limited range. As for Lu Zhou, it is the L-manifold and the differential geometry method for partial differential equations. .

For the plasma inside the stellarator, the first type of problem is easy to say. Although the plasma under high temperature and pressure is unstable, at least the mechanical environment of each component of the entire plasma circulation is uniform macroscopically.

As for the second type of problem, it is the core difficulty.

However, the difficulty here is only for ordinary people.

When Lu Zhou applied the L-manifold to the NS equation, and established a mathematical model for those experimental data based on the differential geometry method, he found that although the whole work was full of complexity, it was not as difficult as he imagined.

Time passed day by day, and the calendar turned a new page.

Early September.

Sitting in the office of the Institute for Advanced Study in Princeton, Lu Zhou stared at the computer screen uncertainly, writing and drawing on the paper with the pen in his hand from time to time.

When he typed the last line of calculations on the computer, he finally let out a sigh of relief, and put down the ballpoint pen he was holding on his fingertips.

"Done!"

Hearing the professor's voice, Hardy raised his head in bewilderment, looked at Qin Yue next to him, and then lowered his head silently.

Jericho and Vera secretly cast admiring gazes at Lu Zhou, especially the latter, whose eyes seemed to be twinkling with little stars.

Although I don't know what the professor is doing, I always feel very powerful.

As for Wei Wen, who is writing his master's thesis, he is indifferent to it. For him who is interested in graduating this year and starting a Ph.D. next year, these things are irrelevant.

In short, the professor has researched something awesome again...

Not paying attention to the students' reactions, Lu Zhou quickly checked his mathematical model, then copied the data to a USB flash drive, and quickly left the office with the USB flash drive.

The derivation of the equation is a job that can be done by the human brain, but once it comes to the numerical solution, the terrifying amount of calculation is beyond the reach of human beings.

In order to verify his mathematical model and collect first-hand simulation data, he now needs a supercomputer.

The sooner the better!

...

As one of the richest universities in North America, Princeton's wealth is not only reflected in its willingness to spend money to recruit people, but also in the construction of campus hardware facilities.

Although it is located in the small town of Princeton, it has everything from a plasma physics laboratory to a supercomputing center.

This shows how important it is for a university to have an alumni association with strong financial resources behind it.

Princeton's campus supercomputer, the full name of which is the John Norman Supercomputer Research Center, mainly conducts simulation research in condensed matter physics, plasma physics, celestial mechanics, etc.

Although among the people Lu Zhou knew, David Xiao was a master in the field of parallel computing, but Anton's powerful computing ability was only reflected in the field of computational chemistry, and his performance in the field of general computing was not ideal.

What's more, David Xiao himself is not necessarily interested in plasma physics or fluid dynamics simulation, so Lu Zhou didn't bother him.

After filling out the application form at Nassau Hall, Lu Zhou didn't wait long, and soon got the school's approval application.

Any research project linked to pppl laboratory will be approved most quickly.

Not to mention a Fields Medal winner.

Bringing written documents to the John Norman Supercomputing Center, Lu Zhou approached the director of the research center, Professor Amal Green, and explained his purpose to him.

After listening to Lu Zhou's request, Green raised his eyebrows in surprise.

"Unbelievable... Are you sure you're not kidding? You successfully built a mathematical model for the plasma turbulence in the stellarator?"

Although he is not a physicist, he still knows how amazing this is.

Lu Zhou sighed and shook the application in his hand: "There is still half a year until April Fool's Day, I'm sure I'm not joking."

Professor Green didn't talk nonsense, and turned on the computer for work, "Do you have that model with you?"

Putting the USB drive on the table, Lu Zhou said, "Of course."

After taking the USB flash drive and inserting it into the computer, after opening the files inside, looking at the data and images on the computer screen, Green stroked the stubble on his chin, thought for a moment and said, "With all due respect, this looks very difficult. .I'm not sure if our John Norman is capable of this magnitude of calculations, what you need is probably Summit from Oak Ridge National Laboratory... Is there no way to simplify this model?"

Lu Zhou shook his head: "This is already the simplest form I can do."

"Well, on behalf of the PPPL laboratory, you have presented us with a difficult problem," Professor Green said after thinking for a moment, turning the pen in his hand, "I can solve the algorithm part, but don't expect this work to be completed in a short time." Finish."

Lu Zhou nodded: "I know. And, I will help you."

Professor Green said with a smile: "This is necessary. After all, we are engaged in large-scale parallel computing, not experts in plasma physics."

Chapter 437/1702
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Scholar’s Advanced Technological SystemCh.437/1702 [25.68%]