Chapter 89: One Hundred Thousand Unsolved Mysteries
John continued: "Your father's algorithm is indeed the most outstanding work of mankind, but it is far from powerful enough. Therefore, we cannot make the nuclear fusion device smaller. Each reactor is like a mountain, which is simply too rough."
Zhang Yuan looked at the turbulent flows, some bright, some dim, and some were spinning, falling into deep thought.
Regardless of whether you accept it or not, John's complaint is indeed correct.
A small ambition developed in his heart, which was like a seed.
"The problem my father had done, maybe... I can do it too?"
The turbulence problem is the last mountain in classical physics. About 400 years ago, the Navi Stokes equation, or n-s equation, had theoretically described the physics of fluids. This equation is generally difficult to obtain an accurate solution, so scientists usually use some simplified theoretical models or methods that seek to use numerical simulation to predict the motion of fluids.
But using simplified models to simulate plasma turbulence is too inaccurate. If these plasmas are not constrained well, it will cause great damage to the fusion engine.
The booming development of informatics has caused some loosening of the turbulence problem, but it is only a little loosening, which can simulate more accurately, but cannot have a deeper understanding of its true essence.
John sighed: "We may never find the mathematical exact solution of the turbulence problem. Perhaps the complete accuracy is hidden in the more microscopic superposition of probability, and with our ability, we have no idea."
John Wilson is a typical representative of the pessimism.
He believes that the upper limit of human technology is probably already like this. With human IQ, we can only turn around in such a slight circle.
Although there are still some minor things to be polished, it is impossible to truly achieve qualitative change.
So, this group of pessimistic scientists want to board the spacecraft and see the world three thousand years later.
This statement is not unreasonable. A turbulence problem has not been completely solved for four hundred years.
In cutting-edge physics, except for the condensed matter, which maintains vigorous vitality, everything else has 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 also slowly going downhill.
The Riemann conjecture has been standing for 400 years; the Goldbach conjecture has been standing for 600 years.
The "Mathematics Unification" plan is still just a framework, and there are still tens of billions of light years to be completed.
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 mankind cannot continue to develop.
Once science and technology stagnates and develops, human civilization is likely to continue to undergo historical reincarnation, just like the ancient Xia Kingdom. To use a more academic term, it is difficult to make historic great 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 doesn't believe that humans will be stupid enough to fall into foreseeable traps, and it is difficult to imagine what the future world will be like. Maybe some technology to transform intelligence will appear.
In addition, his direction is more inclined to engineering and technology. Technology is still very different from science, and there is indeed a lot of room for improvement in human application technology.
"Zhang, you're too optimistic."
John shrugged his shoulders and said helplessly: "In history, there are many phenomena, such as Latin Americanization, middle-country income traps, etc. Even if some countries know it, they still cannot overcome it, because many things in a country are not something that leaders can do when they realize it. They have to rely on the overall strength."
"But the collective power of human beings is not as powerful as you think."
"Yes, you're right." Zhang Yuan said: "But we have to stay optimistic, right? Pessimism cannot solve any problem."
Saying goodbye to this sentimental senior John brother, Zhang Yuan returned to his laboratory seat and began to continue reading the documents.
I accidentally flipped through a book.
"One Hundred Thousand Unsolved Mysteries"...
From astronomy to geography, from mathematics to physics, there are too many problems that cannot be solved. For example, the "3x1" conjecture, the problem of beautiful ending, the Gaussian circle problem, the erdos-graham ternary problem... Any one is easy, the difficulty is comparable to that of the Li Guai.
For some reason, Zhang Yuan always felt a slight sense of anger in his heart when he looked at the countless problems.
Perhaps, as one of the scientific researchers, he is instinctive anger that cannot completely penetrate nature.
Zhang Yuan clenched his fists secretly.
At this moment, he finally made up his mind to solve a world-renowned problem.
It doesn’t matter whether you gain or lose, you just follow your true intentions.
“Turbulence problem!”
"Try it!"
This takes a lot of courage.
It is very likely that it took a lot of time and could not achieve any results, and the cost of sunk was huge. Only a young man like him could move forward bravely with his passion.
After making up his mind, Zhang Yuan let out a long breath and slowly calmed down.
From a purely mathematical perspective, there is basically no possibility.
Zhang Yuan does not feel that his current strength can write equations that are more accurate and effective than n-s equations.
"Perhaps, some informatics methods can be created to solve this problem."
The first method is the famous "spectral method of wavelet transformation" used by my father, and is also the best algorithm in engineering applications at present. It successfully solves the problem of turbulence simulation of the internal flow of the engine in both time and space.
In essence, it draws on the transmission process of signals in neurons to describe the burst mechanism of turbulence in the pipeline.
The second method is a direct numerical solution.
The "n-s equation" of the incompressible fluid simulates the turbulence of various isotropics in a three-dimensional periodic cube. However, this method has high requirements for computing power and is suitable for calculating simple turbulent motions with lower Reynolds numbers, such as channel or round tube turbulence.
Of course, there is also the third "rngκ-ε model", the fourth "sparart-allmaras turbulence model", the fifth method "internal and external iteration method", etc.
Human creativity is infinite, but it is truly meaningful. There are only a few algorithms with application value.
"Are you looking at the turbulence problem? This thing is not very 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 nonlinear, infinite dimensional system, and chaotic system. There are currently no very suitable mathematical tools for these three difficulties."
"So if you want to do it, I don't have any particularly good suggestions for you."
"I know, just take a look." Zhang Yuan said hurriedly.
Senior Brother Zhao smiled and sighed that it was great to be young. If it were him, he would definitely be far away from this problem.
Chapter completed!