Deep Space Fleet

John continued: "Your father's algorithm is indeed the most outstanding work of mankind, but it is far from powerful enough. Therefore, we have no way to make the nuclear fusion device smaller. Each reactor is like a mountain. , it’s simply too rude.”

Zhang Yuan looked at these turbulent flows, some were bright, some were dim, and some were spinning, and fell into deep thought.

Convinced or not, John's complaint is indeed correct.

A small ambition arose in his heart and took root like a seed.

"The problem that my father once did, maybe... I can do it too?!"

The problem of turbulence is the last big mountain in classical physics. About 400 years ago, the Navier-Stokes equation, also known as the N-S equation, had theoretically described the physics of fluids. It is generally difficult to find an exact solution to this equation, so scientists usually use some simplified theoretical models or resort to numerical simulation methods to predict the movement of fluids.

But using simplified models to simulate plasma turbulence is too inaccurate. If these plasmas are not contained well, they can cause huge damage to the fusion engine.

The vigorous development of informatics has caused some loosening of the turbulence problem, but it is only a loosening. It can be simulated more accurately, but it cannot deeply understand its true nature.

John sighed: "We may never find an accurate mathematical solution to the turbulence problem. Perhaps the complete accuracy is hidden in a more microscopic probability superposition state. With our ability, we have no idea at all."

John Wilson is a typical representative of the pessimists.

He believes that the upper limit of human technology is likely to be what it is now. With human IQ, it can only move around in such a small circle.

Although there are still some details that need to be polished, it is impossible to truly achieve a qualitative change.

Therefore, this group of pessimistic scientists want to board the spacecraft and see the world three thousand years from now.

This statement is not unreasonable. It took four hundred years for a turbulence problem to be completely solved.

In cutting-edge physics, except for condensed matter, which still maintains strong vitality, other fields have gradually declined. High-energy physics is troubled by the "energy level desert". Other disciplines, such as chemistry and semiconductors, use some approximate theories. The most important thing is that these approximate theories can indeed solve some problems.

As for mathematics, it is slowly going downhill.

The Riemann Hypothesis has been standing for 400 years; the Goldbach Hypothesis has been standing for 600 years.

The "Grand Unification of Mathematics" plan is still just a framework and is still tens of billions of light years away from completion.

The New Civilization School believes that the current 23rd century, plus the 24th and 25th centuries, is likely to be the last golden age of mankind. Next, the overall intelligence of human beings cannot continue to develop.

Once the development of science and technology stagnates, human civilization is likely to continue to undergo historical reincarnations like the ancient Xia Kingdom. To use more academic terms, it means falling into the "trap of mediocrity" and making it difficult to achieve historic progress.

Zhang Yuan actually agrees with some of the views of the New Civilization School, but he is neither pessimistic nor optimistic about this issue.

He actually didn't believe that humans would be stupid enough to fall into foreseeable traps, and it was hard to imagine what the future world would be like. Maybe there would be some technology that could transform intelligence.

In addition, the direction he is engaged in is more engineering and technology-oriented. There is still a big difference between technology and science. There is indeed a lot of room for improvement in human application technology.

"Zhang, you are too optimistic."

John shrugged his shoulders and said helplessly: "In history, there are many phenomena, such as Latin Americanization, the income trap of middle countries, etc. Even if some countries know it clearly, they still cannot overcome it, because many things in a country, It’s not something that leaders can do just by being aware of it. It has to rely on the strength of the whole.”

"But the collective power of mankind is not as powerful as you think."

"Yes, you are right." Zhang Yuandao: "But we have to stay optimistic, right? Pessimism can't solve any problems."

After bidding farewell to the sentimental Brother John, Zhang Yuan returned to his seat in the laboratory and began to continue reading the literature.

I accidentally opened a book.

"One Hundred Thousand Unsolved Mysteries"...

From astronomy to geography, from mathematics to physics, there are too many unsolvable problems. For example, the "3x+1" conjecture, the happy ending problem, the Gaussian circle problem, the Erdos-Graham ternary problem... any one of them is as difficult as Li Guess.

I don't know why, but Zhang Yuan always feels slightly annoyed when looking at the countless problems.

Perhaps, as a member of the scientific research community, it is the instinctive irritation of being unable to completely penetrate nature.

Zhang Yuan secretly clenched his fists.

At this moment, he finally made up his mind to solve a world-famous problem.

It doesn't matter what you gain or lose, just follow your own heart.

"Turbulence problem!"

"Give it a try!"

This requires a lot of courage.

It is likely that a lot of time has been spent, nothing can be achieved, and the sunk costs are huge. Only young people like him can move forward with passion.

After making up his mind, Zhang Yuan took a long breath and slowly settled his thoughts.

From a purely mathematical point of view, there is basically no great possibility.

Zhang Yuan does not feel that his current strength is able to write an equation that is more accurate and effective than the N-S equation.

"Perhaps, some informatics methods can be created to solve this problem."

The first method is the famous "spectral method of wavelet transform" used by my father, which is also the best algorithm currently used in engineering applications. It successfully solves the problem of turbulent simulation of engine internal flow at multiple scales in time and space.

Essentially, the process of signal transmission in neurons is used to describe the burst mechanism of turbulence in pipelines.

The second method is a direct numerical solution method.

Isotropic turbulence in a three-dimensional periodic cube is simulated by solving the "N-S equations" for incompressible fluids. However, this method requires high computing power and is suitable for calculating simple turbulent motions with low Reynolds numbers, such as channel or circular tube turbulence.

Of course, there is also the third "RNGκ-ε model", the fourth "Spalart-Allmaras turbulence model", the fifth method "internal and external iteration method" and so on.

Human creativity is unlimited, but there are only a few algorithms that are truly meaningful and valuable.

"Are you looking at the turbulence problem? This thing is not that complicated!"

Zhao Qingfeng glanced at his screen and said with interest: "I have also studied this aspect. The core reason is that the problem itself is too difficult. Strong nonlinearity, infinite dimensional systems, and chaotic systems. These three difficulties are currently There are no mathematical tools that are very suitable.”

"So if you want to do it, I don't have any particularly good advice for you."

"I know, just take a look." Zhang Yuan said quickly.

Senior Brother Zhao smiled and sighed that it was great to be young. If it were him, he would definitely stay away from such problems.

But he didn't pay too much attention to it. There were many things that once he understood them, he would retreat.