Chapter 761 From this moment on, the fluid mechanics of the world and even mankind will enter a new history!(1/2)
Qin Ke and Ning Qingyun looked at the diagram carefully and saw dozens of data suddenly floating on the graph.
This kind of data is all data in the atmospheric circulation. It looks a bit like data anomalies caused by collector errors, which is a common "noise" in data collection, but if you connect them, it seems to be similar to graph music.
"Resonance" effect, which makes it very difficult to judge whether it is "noise". It is no wonder that several researchers in the "El Niño Phenomenon Research" team who are good at fluid mechanics and mathematical modeling cannot judge.
Kuang Songlin then took out the deduction results after substituting these data into the mathematical model, and indeed showed that there is a probability of up to 57% that a super strong El Niño phenomenon with an El Niño index greater than 2.1 will occur.
The consequences of the super strong El Niño phenomenon are disastrous. In particular, the southern Pole of Xia is prone to large-scale floods, and it will also stimulate the already extreme abnormal weather to become more serious.
Qin Ke and Ning Qingyun attached great importance to the deduction results. They read all the relevant data and analyzed the mathematical model itself.
Time passed bit by bit. Originally, Qin Ke asked Kuang Songlin and others to rest first, but how could Kuang Songlin and the other seven people leave the two bosses to fight at night while they went to sleep alone? So he also followed to review the data and compare it.
The difference between the last two periods of data.
Qin Ke looked through it for nearly two hours and already had some clues.
He exchanged opinions with Ning Qingyun, and then Ning Qingyun re-optimized the current mathematical model.
Qin Ke himself took the paper and pen and began to write out lines of mathematical equations.
By this time he had reached a true master's level in physics, and in all sub-subjects, including physical meteorology.
The so-called physical meteorology refers to a branch of discipline that studies physical phenomena such as sound, light, electricity, radiation, evaporation, condensation, clouds, and fog in the atmosphere, as well as their causes, evolution processes and laws. It is affiliated with atmospheric physics.
Qin Ke is best at fluid mechanics. At this time, after letting Shi Guang sort out the atmospheric circulation data, he directly used the "waterfall limiting cycle algorithm" to first find a special solution, and then applied the N-S equation based on the special solution to find out the current situation.
The data distribution in the atmospheric circulation that is most consistent with fluid mechanics under the data.
During this period, Ning Qingyun had basically completed the optimization of the mathematical model, and combined it with the results deduced by Qin Ke, he quickly re-deduce the most correct graphic music.
When dawn appeared on the horizon, Qin Ke and Ning Qingyun had completed the entire process.
The dim light controls the printer and prints out the final result.
Qin Ke rubbed the corners of his sour eyes, breathed a sigh of relief, pointed at the printed results and said: "Look, we found the problem. It is indeed a problem with the meteorological satellite's data collector. Its No. 198 data collector locator appeared.
There is a fault, and the longitude and latitude of these data are wrong. If the longitude and latitude are translated by 9.7% and 12.1% respectively, then these dozens of data will be correct and fall on the graph curve."
Having said this, Qin Ke smiled: "This is good news. It means that the probability of a super El Niño phenomenon this year is not as high as 57%. The correct probability should only be about 7.2%. The probability of an ordinary El Niño phenomenon is higher.
, about 11.2%.”
Kuang Songlin and others witnessed almost the whole process. When doing mathematical modeling and performing N-S calculations, Qin Ke and Qin Ke did not hide their secrets and taught them almost step by step, making them respectful and convinced.
After confirming that it was just a false alarm, Kuang Songlin breathed a sigh of relief. Looking at the tired expressions of the young man and woman in front of him, he felt apologetic and uneasy. He said with shame: "It's all our fault and lack of ability that made the two academicians work so hard."
I stayed up all night, it was really..."
Qin Ke waved his hand and said with a smile: "Don't say this, the data anomaly this time is indeed very hidden. Your original results are all excellent, what is missing is some experience and skills. Qingyun and I are very satisfied with this, at least you
His serious and responsible attitude towards research is very commendable. Okay, I guess you are also hungry. I have informed my assistant to buy breakfast and come back. Let’s eat together. After eating, go back and have a good rest and spend time with your family. I will give you some
One suggestion is to work as little overtime as possible on weekends and use it for rest. As long as you try to be more efficient from Monday to Friday, you will achieve better results than staying up for seven days in a row."
Kuang Songlin and others were completely convinced of Qin Ke at this time, and they all responded in unison.
Soon the work assistant Chen Ya brought breakfast. Qin pulled Ning Qingyun, cleared a table in the research room, and chatted with Kuang Songlin and other seven researchers while eating.
One researcher said sheepishly: "By the way, Academician Qin, when I saw you deriving the N-S equation just now, there were a few things I still didn't understand..."
Being able to consult the elders of the Philippine Prize in person, especially Academician Qin Ke, who is world-famous in N-S equations, this researcher knows how to seize the opportunity.
Qin Ke smiled: "You deliberately don't want my wife and I to go on a date. Okay, after breakfast later, we will answer your questions for an hour each."
Several researchers cheered in unison. Although they also felt tired, they were all in high spirits for such a rare opportunity.
Qin pulled over two large whiteboards, and he and Ning Qingyun answered the questions of several researchers respectively.
"The special solution is substituted into the N-S equation here mainly to derive more systems of partial differential and ordinary differential equations suitable for this kind of atmospheric circulation conditions. You see, I can expand it into these systems of equations..." Qin Kezheng answered
Question from a researcher wearing glasses.
The glasses researcher pointed to an equation and asked with some confusion: "Academician Qin, when you used the waterfall current-limiting loop algorithm just now, you used the vector function group of Hilbert space. I still don't understand the derivation in front of me.
The connection between the processes." At this point, he said embarrassedly: "Sorry, I have been working hard on partial differential equations, but I am not very familiar with Hilbert spaces..."
"Hilbert space is an extension of Euclidean space. I quoted it in the previous equation (17) mainly for the bivariate Hermitian polynomials in the following equation (22). Take a closer look.
Formulas (23)-(27) are all based on the normal product and anti-normal product properties and the form of the generative function of the bi-variable Hermitian polynomial. By using the Gaussian integral form of the completeness of the coherent state representation, the bi-variable Hermitian polynomial is finally established.
A bridge between recurrence relations and partial differential equations.”
After listening to Qin Ke's detailed explanation, the glasses researcher finally realized: "I understand, the ultimate goal is to find the scalar product of the Euclidean space through partial differential equations, right? This is how you discovered the longitude and latitude deviation problem before
As the basis. It’s amazing. I didn’t expect that the relationship between partial differential equations and spatial coordinates can be established in this way. It’s like a magic trick that appeared out of nowhere!”
Qin Ke laughed and said: "It's not such an exaggeration. It's impossible to create something out of nothing. Mathematics is just based on all known conditions and then constantly assuming-" He stopped speaking halfway, and his voice suddenly stopped, and a light flashed in his mind, and the numbers
Inspiration bursts out.
"There is something out of everything... there is something out of something... Yes, why do you have to insist on finding the initial conditions and boundary conditions when you are looking for a general solution? Why don't you just build a solution that does not exist in the first place, but in fact you can find accurate numerical values?
Variable functions as initial variables and boundary conditions?" Qin Ke murmured to himself, sparks sputtering in his mind, but his eyes became brighter and brighter, and the light of wisdom shone in them.
His mathematical intuition, which was already comparable to Ramanujan's, was brought into full play at this moment. All the accumulated knowledge and thoughts related to the N-S equation that he had been studying since the second year of high school produced a gorgeous accumulation effect with inspiration.
Just like the green grass breaking through the rocks, like the clear water droplets splashing on the rocks, Qin Ke's mind became clearer than ever before, and then a storm of inspiration arose! For the first time, he entered the "inspiration" without any warning.
Amplification status"!
Qin Ke muttered to himself, erased the content on the whiteboard with one hand, and then started writing quickly.
"Academician Qin..." When the glasses researcher saw Qin Ke suddenly mumbling to himself as if he was in a daze, he immediately ignored him and just focused on writing rows of complicated and difficult calculations on the whiteboard. He felt a little confused.
measures.
The abnormality here quickly attracted the attention of everyone nearby. Ning Qingyun had been with Qin Ke for the longest time. As soon as he saw Qin Ke's possessed look, he understood and whispered urgently: "Don't disturb him!
"
She took out her mobile phone, quickly turned on the video mode, and then handed it to the assistant Chen Ya next to her: "Help record all the contents of the whiteboard!"
Then she picked up the paper and pen and stood next to Qin Ke. While staring at the calculations Qin Ke was writing quickly, she recorded the key points and pondered Qin Ke's ideas.
Qin Ke stood in front of the big whiteboard. After filling up the whole board, he erased it and continued writing. His expression was focused, and the pen tip seemed to be blooming with dazzling light as it danced.
Kuang Songlin and others looked at each other, feeling a sense of oppression that they dared not let out.
This... is this the momentum of the world's top mathematician when he takes action with all his strength?
Kuang Songlin and others originally thought that the murderous aura in martial arts novels was just the nonsense of novelists, but looking at Qin Ke at this time, they clearly felt this powerful aura that could not be described but could be clearly felt, making people even lift their fingers.
Don't even dare to move!
Qin Ke exudes the sanctity and piety of a master wielding a sword, as well as a breathtaking awe-inspiring aura. The mathematical formulas he writes are obviously too profound to be understood, but they seem to have some kind of strangeness.
The charm is full of indescribable mathematical beauty!
Even Kuang Songlin and his assistant Chen Ya, who are not good at mathematics, felt strangely moved by these formulas.
Ning Qingyun looked steadily at Qin Ke and the calculations he wrote, and her beautiful eyes became brighter and brighter.
"This is...a complete construction of a self-contained function system as the initial conditions and boundary conditions of the general solution! Yes, why didn't you think of using such a method before? It's amazing, it's so awesome, it's so exquisite!
"
Ning Qingyun whispered subconsciously, looking at Qin Ke with eyes full of unconcealable admiration and love.
It is precisely because she and Qin Ke have been studying the N-S equation for more than a year and nearly two years that she knows better than anyone else how amazing the inspiration that Qin Ke has flashed at this moment!
This is a novel method that has never been thought of by predecessors. Just constructing such a "made out of nothing" function system is enough to dwarf the "waterfall current limiting loop algorithm" that shocked the world before. Everything in the N-S equation in the three-dimensional space
Initial conditions and boundary conditions such as pressure, velocity, density, temperature, volume, etc. are all included!
What surprised Ning Qingyun the most and found it incredible was that the "waterfall current limiting loop algorithm" that he originally thought was perfect was further optimized and sublimated by Qin Ke in his subsequent derivation!
If the waterfall current-limiting cycle algorithm is like a river that falls from a hundred-foot waterfall and then flows endlessly and circulates endlessly, then at this moment Qin Ke is constantly pursuing the specific general solution of the N-S equations under the premise of "creating something out of nothing" function system.
Excellent mathematical processing method is that the sea directly on the edge has set off strong winds and waves that can sweep everything! Wherever he writes, all N-S equations derive changes, all the movements of viscous fluids that can be compressed and change viscosity, and even all differentiable
The flow process, all momentum conservation, all energy transformation, all approximate solutions, special solutions, exact solutions, transient solutions... are all integrated into this overwhelming and omnipresent giant wave, and have become an inseparable part of it.
!
Ning Qingyun was very moved and excited when she saw it.
Ning Qingyun didn't know how powerful the gods of mathematics such as Gauss, Euler, and Riemann were in history, but in her heart, throughout the ages, no mathematician in the sky or on earth could shine more dazzlingly than Qin Ke at this moment.
The light of mathematics!
This chapter is not finished yet, please click on the next page to continue reading the exciting content! The research room is extremely quiet, only the sound of Qin Ke's pen tip and Ning Qingyun's occasional turning of pages.
Time seems to have lost its measure at this moment. No one knows how long Qin Ke has been writing. The calculations on the big whiteboard have been erased and rewritten. How many times have they been written in total? Chen Ya's hand holding the mobile phone is already a little sore and numb. Ning Qingyun quickly
The keynote notes I wrote down have been turned over for twenty or thirty pages.
Finally, Qin Ke's hand holding the pen slowly stopped, and a set of extremely complex mathematical formulas appeared on the big whiteboard.
“?v?t Vij*[Vij?xj *(g -1*p/?
p/?xi)]^t ?p*pF*(mΔv m*p/?2)^(xv*i?-j2)……”
Qin Ke turned around, his forehead was covered with sweat, and his face was frighteningly pale, but he looked excited and smiled: "The general solution has been found. However, I found that the current N-S equation and all its derivatives are not perfect yet.
To be continued...