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Referring to the discretization of derivatives by Finite differences, and its applications to numerical solutions of partial differential equations.

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How to quantify the numerical diffusion term in a second-order upwind advection scheme?

In the first-order upwind scheme, numerical diffusion can be quantified as: $$\frac{dT}{dt} = -w\left(\frac{dT}{dz}\right) + \left(\frac{wdz}{2}\right)\left(\frac{d^2T}{dz^2}\right)$$ For Lax-Wendroff …
Yoni Verhaegen's user avatar