If the first-order implicit Euler scheme is used, the value at t+Δt/2 is replaced by the value at _________(a) t(b) t-\(\frac{\Delta t}{2}\)(c) t+Δt(d) t-ΔtThe question was posed to me by my college professor while I was bunking the class.This interesting question is from Transient Flows topic in chapter Transient Flows of Computational Fluid Dynamics

If the first-order implicit Euler scheme is used, the value at t+Δt/2

1.	If the first-order implicit Euler scheme is used, the value at t+Δt/2 is replaced by the value at _________(a) t(b) t-\(\frac{\Delta t}{2}\)(c) t+Δt(d) t-ΔtThe question was posed to me by my college professor while I was bunking the class.This interesting question is from Transient Flows topic in chapter Transient Flows of Computational Fluid Dynamics
Answer» The correct choice is (c) t+Δt To explain: In the first-order IMPLICIT EULER scheme, the VALUES at the cell faces are approximated by the values at cell centres of the backward DIRECTION. Therefore, the value at t+\(\frac{\DELTA t}{2}\) is replaced by the value at t.

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