Chapter 141 Solved in only two hours?
The solution to the Navier-Stokes equation will involve multiple levels of applied science and can be transformed into applied results in the foreseeable future.
If nothing else, this is an important prerequisite for lighting up the controllable nuclear fusion technology tree.
And in the future, when designing airplanes, rockets, etc., we no longer need to rely too much on blow tunnels.
Meng Qiuyan raised her eyes and looked at Lu An and said curiously: "How much change will it bring to the world if this problem is solved?"
Hearing this, Lu An pondered for a while and said slowly: "It's really difficult to quantify specifically. To use an inappropriate term, if we use the Kardashev civilization level standard for quantification, it may be possible to indirectly improve human civilization from the current level of 0.72 to a level of about 0.8."
Meng Qiuyan was immediately surprised: "There is such a thing Is that an exaggeration?
Kardashev level is a logarithmic scale, and its formula is: K=log10(P)/10
This means that for every 0.1 level increase, the civilization needs to increase the energy output power by 10 times, and for every 1 level increase, there is an energy difference of 10 billion times.
According to the Kardashev civilization level quantification standard, the current human civilization is at level 0.72, which is equivalent to the "quasi-planetary civilization" stage, but there is still an exponential gap from the first-level planetary civilization.
Last year in 2015, the total global power consumption was approximately 1.8×1013 watts, or 18 terawatts.
If the technology of Lu An Lighting can indirectly promote the level of human civilization to level 0.8, it can be calculated by plugging it into the formula to calculate 100 terawatts, which is about five or six times the current global total power consumption.
If it is upgraded to level 1.0, the total energy that needs to be controlled by civilization will reach 10 petawatts, or 100,000 terawatts or 1 billion gigawatts.
The difference from level 0.72 to level 1.0 seems to be only 0.28 levels, but in fact it is a huge chasm. If calculated according to last year's global total power consumption data and substituted into the formula, the result is a difference of 5555 times.
To upgrade to level 0.8, humans need to master technology trees including controllable nuclear fusion, orbital solar energy, geothermal energy, climate control, etc.
If it is further upgraded to level 0.9, it will be equivalent to a tenfold increase on the existing basis. This level has already involved the in-depth reconstruction of the global ecosystem.
As a reborn person, Lu An lived in the mid-26th century in his previous life.
Not only witnessed the rise of human civilization to a first-level planetary civilization, but he was also the core promoter of it. Without him, human civilization would not have been able to develop to the height of a first-level planetary civilization so quickly.
Lu An in his previous life witnessed what the human civilization would look like after it officially reached the first level of planetary civilization.
That is the photovoltaic film, orbital mirrors and microwave phased arrays covering millions of square kilometers in the near-Earth space.
That is the artificial aurora curtain wall that appears at the top of the atmosphere, which is used to adjust incoming solar radiation in real time to offset the greenhouse effect or create a polar agricultural zone.
That is the thermomechanization of the earth's crust. The global mantle heat flow is converted into electrical energy, and a giant thermal energy array is laid on the ocean floor, which is equivalent to turning a mid-ocean ridge into a 40,000-kilometer submarine power station.
That is to change the structure of the Earth's orbit and fine-tune the Earth's angular momentum so that the length of the day can be shortened or lengthened as needed to adapt to agricultural, energy or climate cycles.
That’s more than a dozen synchronous orbiting space elevators operating day and night, and the total cargo volume between the ground and space is equivalent to 45 times that of global shipping today.
That is the Lagrange point power generation cluster, a photovoltaic array of nearly 300,000 kilometers, providing an additional 30% energy redundancy for a first-level planetary civilization.
After becoming a first-level planetary civilization, human beings have the ability to actively manage natural phenomena such as climate, ecology, celestial bodies, etc.
To put it more down to earth, humans can already perform various DIY operations on the earth.
· Energy, climate, rotation, plates, ecology and even orbit, etc., these natural phenomena that are beyond the control of humans at the moment can all be included in the human engineering menu after the first-level planetary civilization.
Meng Qiuyan could not understand what Lu An wrote on the whiteboard at all, so she simply left the room and went to the gym to work out by herself.
As time passed by, one and a half hours later, Meng Qiuyan came to this room again.
She stood at the door and said: "It's time to have dinner, let's do it after eating."
Lu An stretched out, looked at the formula on the whiteboard in front of him and said, "I just found the analytical solution, perfect."
Meng Qiuyan, who was standing at the door, just turned around and was about to go downstairs, but the next moment she was stunned.
She reacted and immediately turned around to look at Lu An in the room.
Meng Qiuyan said in shock: "I must have heard correctly. You just said... you have found the analytical solution to the Navier-Stokes equation? Is there really an analytical solution?"
After Lu An and Meng Qiuyan looked at each other for a moment, he glanced at the whiteboard and said, "Here, this is it."
He said this in a very relaxed manner, as if he was drinking water.
Meng Qiuyan's eyes widened with disbelief. He solved one of the seven major mathematical problems of the millennium in only about two hours?
She glanced at the formulas on the whiteboard again, but she couldn't understand them at all.
Meng Qiuyan stared at Lu An and said, "Really?"
Lu An and her looked at each other and said, "That's not it?"
Meng Qiuyan stared at him for a long time without saying a word and blinked her beautiful eyes. Although she couldn't understand it at this moment, she chose to believe it.
"I never expected that I would be caught off guard and witness history. The seven major mathematical problems of the millennium would become five."
Meng Qiuyan looked at Lu An, her beautiful eyes filled with brilliance.
"Are you really the first "Golden Legend" card drawn by mankind in the 21st century as the netizens said? No way..."
This is a problem that mathematicians around the world are at a loss to solve, but in the end, he solved it with just a little intervention.
If word spreads, it will definitely cause a sensation in the world.
The mathematics and physics circles have decided to explode the situation.
Lu An’s solution to this century’s problem is so valuable that it is not his honor to be awarded the Fields Medal and the Nobel Prize in Physics, but the honor of these two awards, because his contribution to human civilization is no less than that of the top scientific giants in history.
If nothing else, once this problem is solved, only the material problem remains for controllable nuclear fusion, and the next step is the sea of stars.
Suddenly, Meng Qiuyan suddenly asked: "Can you solve the other five Millennium Problems?"
Hearing this, Lu An looked at her for a moment and replied with a smile: "Maybe, give it a try when you have time."
Meng Qiuyan looked straight at him: "For the other five problems, I think even if you can't solve them all, you can definitely solve some of them."
Her eyes were shining with splendor, and she looked at Lu An with full admiration.
Lu An smiled and said: "Okay, let's eat. After eating, I have to think about the transformation and application of the results."
Meng Qiuyan said with a charming smile: "That won't work, you have already used up 5 hours today. At that time, the remaining 3 hours are mine. You haven't handed over the food yet. Please hand over the food first." Hearing this, Lu An said seriously: "You are wasting the time of a genius, which is equivalent to hindering the progress of human civilization."
Meng Qiuyan looked at Lu An and smiled and said, "Obviously, we are trying to accumulate rich experience in order to continue to inherit the excellent human genes."
...
In the following days, Lu An added a new development task in addition to the existing work.
That is to start the transformation of application results based on the analytical solution of the Navier-Stokes equation, that is, to develop a new set of computer simulation experiment software similar to CFD software, a virtual experiment technology that simulates fluid flow and related physical phenomena in the computer.
Lu An tentatively named it the "Star Stream" simulation engine.
In the future, when developing a new generation of fighter jets, rockets, etc., there is really no need to blow wind tunnels frequently.
Amélica does not have advanced wind tunnel technology and can only rely on theoretical simulation. However, the problem is that without accurate prediction of theoretical simulation, the data obtained is unreliable.
The simulation software that Lu An wants to develop can be said to be infinitely close to the exact solution.
More than 99.999% of the problems can be solved without blowing the wind tunnel, which can significantly save R&D cost investment, greatly improve efficiency, reduce time costs, and shorten the R&D cycle.
The analytical solution of the Navier-Stokes equation will bring revolutionary improvements to the field of simulation experiments and promote fundamental changes in the entire architecture.
One is a breakthrough in theoretical completeness.
Existing CFD relies on approximate models such as Reynolds averaging or large eddy simulation, while analytical solutions can directly describe the instantaneous three-dimensional structure of turbulence and eliminate model errors.
For example, the generation, evolution, and dissipation of turbulent vortices can be accurately predicted through analytical solutions without relying on empirical subgrid models.
The flow characteristics of non-Newtonian fluids can be directly described by analytical solutions without introducing additional constitutive equations.
The second is the exponential improvement in computing efficiency.
Analytical solutions can bypass the grid dependence of numerical methods. For example, traditional DNS requires trillions of grid cells to simulate high Reynolds number turbulence, but the analytical solution can directly output the results through mathematical expressions, shortening the calculation time from "months" to "seconds".
The architecture of parallel computing will be reconstructed. The "Star Stream" simulation software based on analytical solutions can directly solve the problem using symbolic calculations instead of relying on numerical iteration of distributed memory.
The third is ultra-highly accurate predictions of extreme conditions.
Analytical solutions in ultra-high temperature plasmas can break through the limitations of the continuum assumption and directly describe intermolecular interactions, such as nuclear fusion devices.
Hypersonic flows in the aerospace field, such as space vehicle re-entry, can accurately calculate the interaction between shock waves and boundary layers through analytical solutions, replacing the existing engineering experience that relies on trial and error.
However, even if there is an analytical solution to the Navier-Stokes equation, the "star flow" simulation software developed based on it still needs to be combined with numerical methods. The reason is the adaptability of complex geometry, the irreplaceability of multi-physics coupling, and the trade-off between real-time performance and computing resources.
The analytical solution of the Navier-Stokes equation will bring a triple revolution in theoretical completeness, computational efficiency and prediction accuracy to the "Star Stream" simulation software.
The complete version of the Xingliu software tool will be a mixture of analytical solutions + numerical methods + experimental data + artificial intelligence, pushing mankind from "empirical design" to "precision control driven by first principles", which will undoubtedly open a new window of observation.
The development of the "Star Stream" simulation software can only be done by Lu An himself.
Having a team to assist will naturally make things faster, but the premise is that team members can understand it. Lu An also needs to give guidance first. By the time they can help him develop, he will have already completed the development of the first generation software.
Efficiency has become slower.
And this must be completely in your own hands. You can only do it yourself, so you can only develop it yourself. In the future, you will also iteratively upgrade it yourself. Lu An wants to deeply bind the real core technology with itself.
Over time, when enough sunk costs are accumulated, it will become a technical nuclear deterrent.
If something happens to me, then you won’t be able to use anything I build, and your sunk costs will be all gone. You’d better hope that I’m safe and sound.
After Lu An developed this set of software tools, he separated a downgraded and castrated public version and sold it to others.
The public version is launched on the market, and it is naturally the best and most advanced version for your own use, so that while maintaining its exclusive advantage, it can also promote the overall advancement of human science and technology.
After all, the "Monte Moros" asteroid crisis after 2028 requires the overall improvement of human technological level. It is impossible to solve the asteroid crisis just by relying on the current level of productivity and technology.
There is another huge benefit of launching a public version. This is a "neck-stuck" trump card that can be very fatal to others.
It can directly change the situation between offense and defense. For a long time, it has been stuck in the CFD field.
In the future, the polarity will be reversed, and it can in turn choke the necks of magnesium companies or scientific research institutions. If I am unhappy and do not let you use this set of software tools, then you will soon fall behind the times.
Hand, Amlerica will definitely be super uncomfortable.
Let’s use it. What if Lu An secretly tampered with the software? Do you believe the simulation experiment results or not?
Don’t use it, but everyone else is using it!
If you don't use it, you will watch the people behind you catch up with you, and the people in front will soon lose sight of you.
Looking back again, the people behind you are all ahead of you. Aren’t you dumbfounded?
What is this called? This is like having one muscle become blocked at both ends.
After the launch of the public version, enterprises or institutions in related industries in related fields must buy and use it, which can be regarded as an absolute necessity.
Because you don’t use it, but if your peers use it, even if you are ahead now, you will soon be overtaken and overtaken. If you are lagging behind, then you are completely screwed and go bankrupt and liquidated as soon as possible.
Who in the related companies and related fields will dare to offend Lu An, the big daddy in the future?
If you make him unhappy, you will be stopped directly. For him, it is just a little less money, but for you, it is like the sky has fallen.
…
(End of this chapter)