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The first-order implicit Euler schemes to discretize the transient term creates ________

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in Computational Fluid Dynamics by (118k points)
The first-order implicit Euler schemes to discretize the transient term creates ________

(a) cross-flow diffusion

(b) cross-diffusion

(c) numerical anti-diffusion

(d) numerical diffusion

The question was asked in exam.

The question is from Transient Flows topic in portion Transient Flows of Computational Fluid Dynamics

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Right option is (d) numerical diffusion

The best I can explain: As the transient term behaves like the convection term while discretizing, numerical diffusion is produced by the first-order implicit Euler schemes. The value of the numerical diffusion can be obtained using the Taylor series expansion.

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