Numerical Algorithms for Simulating Three Modes of Heat Transfer

Simulating thermal conduction

Figure 1: Comparing conduction from sources at different temperatures
Equation 1
Equation 2
Equation 3
Equation 4

Simulation thermal convection

Figure 2: Comparing convection from sources at different temperatures
Equation 5
Equation 6
Equation 7
  1. The diffusion step
Equation 8
Equation 9
  1. The predictor step
Equation 10
Equation 11
Equation 12
Equation 13
Equation 14
Equation 15
Equation 16
Equation 17
Equation 18

Simulating thermal radiation

Figure 3: Comparing radiation from sources at different temperatures
Equation 19
Equation 20
Equation 21
Equation 22
Equation 23
Equation 24
Equation 25

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Charles Xie

Charles Xie

Computational Scientist, Physicist, & Inventor at the Institute for Future Intelligence https://intofuture.org