mpresic3 said:
I read both papers by Will Flannery provided.
Thanks, you are a brave man.
mpresic3 said:
The part I am having a hard time is the coming revolution...
Basically it's like this - the revolution has already happened in the real world, about 40-50 years ago, and it revolutionized science and engineering. The revolution is like a freight train, not coming toward us, it's already passed right through town. But, it missed the university. It is inevitable that it will eventually make it to the U.
The revolution in science and engineering is that now everything is analyzed using the computer.
So, how does a computer analyze a process, i.e. something that changes ?
From my experience everything is analyzed by simulation.
I'll give three examples - an EE designs a new circuit, what he does then is he enters the circuit description into a simulator like SPICE (simulation program with integrated circuit emphasis), there really is no other way to analyze a complex circuit. I have worked with EEs and that is how they do it.
The other example is more dramatic - consider the analysis that proceeded the Apollo mission. The flight of the Apollo represents a solution to a three-body problem, the earth, the rocket, and the moon. The three body problem is completely intractable analytically, that is you can't do anything at all with it. So, what was the design tool NASA used to design the Apollo mission? Simulation.
I even have several example from my own experience. Here is one: the first stage of Space Station Freedom was unpowered. Variation in Earth's gravitational field is sufficient to induce instability in the unpowered station to the extent that it would eventually cause it to tumble. This phenomenon has a name but I've forgotten it. The solution was to install dampers in the form of magnetic balls suspended in a viscous liquid, the balls would align with Earth's magnetic field, and the torque the balls exerted on the station, acting through the viscous fluid, would stabilize it. The stabilizers were to be built by Honeywell, my employer. How to analyze this ? I was given the job. The 'tool' was a flexible space station simulation already developed elsewhere and used for space station performance analysis. Then all that was necessary was to model the stabilizers, the gravity and magnetic field models were in the space station simulator, and fly a number of prescribed orbits. I did that. I still have the report ! Unfortunately Honeywell lost the contract for the stabilizers so I didn't see how it played out.
Now, what is the core of process simulation? Hint: In has three steps ... :).
Ans: the paradigm: physics, differential equation model, analysis using computational calculus, i.e. simulation.
So, computers model physical processes by simulating them, and the at the core of the simulation is computational calculus.
Computational calculus, together with the ability of the computer to combine the models of any number of interconnected components, literally thousands, without difficulty, is the basis of the computer revolution in science and engineering.
That is, the computer and computational calculus is not just a 'numerical method' that can supply numbers when analysis comes up short, it is now the fundamental method of analysis for complex systems. Analytic methods are in no way applicable.
The university is still teaching physics as it did 50 years ago, with, as an earlier post documents, occasional asides to the fact that if you want to analyze real processes you need to do it 'numerically'.
There are other points in your post, but I'd like to concentrate on this first.