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Discretizing a plain variable

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January 1, 2023, 04:59	Discretizing a plain variable	#1
Numericer New Member Join Date: Apr 2015 Posts: 15 Rep Power: 11	Consider a source term in a convective-diffusive equation: $\frac{\partial T}{\partial t} + u \frac{dT}{dx} - D \frac{d^2T}{dx^2}= k T$ What would be the discretization coefficients associated with kT? Would they be just cell volumes? Last edited by Numericer; January 1, 2023 at 12:21.

January 1, 2023, 12:21		#2
Numericer New Member Join Date: Apr 2015 Posts: 15 Rep Power: 11	The answer depends on implicit or explicit treatment of the term. Implicitly the coefficients are just cell volumes. Last edited by Numericer; January 1, 2023 at 13:55.

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