Can You Simulate 2D Temperature-Based Fluid Flow with PDEs?

AI Thread Summary
Creating a program that simulates a 2D environment with varying temperature and calculates fluid currents is feasible. This process would involve the use of partial differential equations (PDEs), which are mathematical equations that describe the relationship between functions and their derivatives. PDEs are essential for modeling phenomena such as heat distribution and fluid dynamics. To implement this, one would need to establish the governing equations for heat transfer and fluid motion, typically involving the Navier-Stokes equations for fluid dynamics alongside heat equations. Understanding and solving these PDEs is crucial for accurately simulating the behavior of the fluid in response to temperature changes.
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Ive been thinking a lot and come nowhere, is it possible to create a program with a 2D envirment where the temperature change from place to place and make the computer calculate a current in the fluid? if so how would the mathematic look like then?
 
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You sure could. It would involve PDE's.
 
what is pde?
 
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