Changes between Version 20 and Version 21 of u/johannjc/scratchpad
- Timestamp:
- 01/10/14 16:31:34 (11 years ago)
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u/johannjc/scratchpad
v20 v21 113 113 }}} 114 114 115 in the limit of [[latex($T \rightarrow 0$)]] with a flux from the left... 115 == Limiting case == 116 116 117 are equation becomes [[latex($\rho_i c_v T_i^{j+1} = \rho_i c_v T_i^j + \frac{\Delta t}{\Delta x} Q \delta_i^1$)]] 117 In the limit of [[latex($T \rightarrow 0$)]] with a flux from the left boundary: 118 119 our equation becomes [[latex($\rho_i c_v T_i^{j+1} = \rho_i c_v T_i^j + \frac{\Delta t}{\Delta x} Q \delta_i^1$)]] 118 120 119 121 and the total energy [[latex($E^{j+1}=\rho c_v \sum T_i^{j+1} \Delta x = E^{j} + \Delta t Q$)]]