Anonymous at Sun, 17 Nov 2024 03:27:44 UTC No. 16478531

it's like.... yeah

Anonymous at Sun, 17 Nov 2024 03:33:32 UTC No. 16478534

>>16478528
mathematicians dont know what limits and derivatives are.

Anonymous at Sun, 17 Nov 2024 04:36:13 UTC No. 16478574

F=ma

Anonymous at Sun, 17 Nov 2024 04:58:46 UTC No. 16478593

>>16478528
Newton's 2nd Law for a fluid. One side covers how volume elements within the fluid are accelerating globally as well as how the volume elements themselves are changing over time, the other side deals with internal pressures, stresses, and strains, collisional interactions, and external force fields per volume.

Anonymous at Sun, 17 Nov 2024 07:00:54 UTC No. 16478663

>not just asking the robot

Anonymous at Sun, 17 Nov 2024 07:59:04 UTC No. 16478694

>>16478663
Thank you, this helps a lot. Can you elaborate on FEM and computationally tractable approaches for realtime simulation?

Anonymous at Sun, 17 Nov 2024 09:49:08 UTC No. 16478762

>>16478528
These were my engineering class notes on it. Pay attention to the part which explains with arrows what each part of the equation is. It's basically conservation of momentum in the X-direction (and the other 2 equations are basically the same, just in Y or Z)
u is the velocity in the direction of x (hence all the "du"s that you replace with "dw" or "dv" in Z or Y) and you can see the spatial terms are all (velocity of fluid in certain direction) x (derivative of x-velocity, as it changes in certain direction).

All the problems in that unit were do-it-by-hand ones, basically you just take the full equation and knock terms off until you get something solveable. (e.g. this problem is 2D in x and z, so we discard terms with y, the flow velocity is constand along the pipe so du/dx is zero and we discard that, high reynolds number so we ignore viscous forces, stuff like that). That and boundary conditions (e.g. you know the net flow is zero, or that the velocity at a solid boundary is zero, velocity at fluid-fluid boundary is the same in each, etc) actually made the problems pretty straightforward

Anonymous at Sun, 17 Nov 2024 17:20:35 UTC No. 16479146

>>16478762
You should make a pdf of these notes