Which of these time-steps are needed to approximate the value at time-step \(\frac{\Delta t}{2}\) using the second-order upwind Euler scheme for finite volume approach?(a) t-\(\frac{\Delta t}{2}\) and t-2Δ t(b) t and t-Δ t(c) t-Δ t and t-2Δ t(d) t and t-2Δ tThis question was addressed to me in an online quiz.The above asked question is from Transient Flows in chapter Transient Flows of Computational Fluid Dynamics

Which of these time-steps are needed to approximate the value at time-

1.	Which of these time-steps are needed to approximate the value at time-step \(\frac{\Delta t}{2}\) using the second-order upwind Euler scheme for finite volume approach?(a) t-\(\frac{\Delta t}{2}\) and t-2Δ t(b) t and t-Δ t(c) t-Δ t and t-2Δ t(d) t and t-2Δ tThis question was addressed to me in an online quiz.The above asked question is from Transient Flows in chapter Transient Flows of Computational Fluid Dynamics
Answer» Right ANSWER is (c) t-Δ t and t-2Δ t Best EXPLANATION: The second-order upwind Euler scheme uses TWO upwind nodes to APPROXIMATE the VALUES. The immediate upwind and the far upwind of t-\(\frac{\Delta t}{2}\) are t-Δ t and t-2Δ t. The vales at these two nodes are used for the approximation.

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