According to the first-order explicit Euler scheme, the value at time-step t-\(\frac{\Delta t}{2}\) is approximated to be equal to the value at __________(a) t+\(\frac{\Delta t}{2}\)(b) t(c) t-Δt(d) t+ΔtThis question was addressed to me in semester exam.I need to ask this question from Transient Flows in portion Transient Flows of Computational Fluid Dynamics

According to the first-order explicit Euler scheme, the value at time-

1.	According to the first-order explicit Euler scheme, the value at time-step t-\(\frac{\Delta t}{2}\) is approximated to be equal to the value at __________(a) t+\(\frac{\Delta t}{2}\)(b) t(c) t-Δt(d) t+ΔtThis question was addressed to me in semester exam.I need to ask this question from Transient Flows in portion Transient Flows of Computational Fluid Dynamics
Answer» Correct choice is (b) t The best explanation: The VALUE at t-\(\frac{\Delta t}{2}\) is at the interface of two CELLS. One has the cell centre t and the other has the cell centre t-Δ t. The first-order explicit Euler scheme is downstream biased. THEREFORE, the value at t is taken to approximate the value at t-\(\frac{\Delta t}{2}\).

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