Explore topic-wise MCQs in Computational Fluid Dynamics.

This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Computational Fluid Dynamics knowledge and support exam preparation. Choose a topic below to get started.

1.

Consider three-dimensional Euler equations. Which equation will you use to find the value \((\frac{\partial u}{\partial t})_{i,j}^t\)?

A. Energy equation
B. y-momentum equation
C. x-momentum equation
D. Continuity equation
Answer» D. Continuity equation
Discussion
2.

What is the disadvantage of the Lax-Wendroff technique?

A. Stability
B. Explicit
C. Order of accuracy
D. \((\frac{\partial ^2 \rho}{\partial t^2 })_{i,j}^t\)
Answer» E.
Discussion
3.

Expand the term \(\rho_{i,j}^{t+\Delta t}\) for Lax-Wendroff technique.Note:t → Current time-stept+Δt → Next time-stepav → Average time-step between t and t+Δ tt-Δ t → Previous time-step

A. \(\rho_(i,j)^t+(\frac{\partial ρ}{\partial t})_{i,j}^t \Delta t+(\frac{\partial ^2 ρ}{\partial t^2 })_{i,j}^t \frac{(\Delta t)^2}{2} \)
B. \(\rho_{i,j}^{t+\Delta t}+(\frac{\partial \rho}{\partial t})_{i,j}^{t+\Delta t} \Delta t+(\frac{\partial^2 ρ}{\partial t^2 })_{i,j}^{t+\Delta t}\frac{(\Delta t)^2}{2}\)
C. \(\rho_{i,j}^{av}+(\frac{\partial \rho}{\partial t})_{i,j}^{av} \Delta t+(\frac{\partial ^2 ρ}{\partial t^2 })_{i,j}^{av}\frac{(\Delta t)^2}{2}\)
D. \(\rho_{i,j}^{t-\Delta t}+(\frac{\partial \rho}{\partial t})_{i,j}^{t-\Delta t} \Delta t+(\frac{\partial^2 \rho}{\partial t^2})_{i,j}^{t-\Delta t}\frac{(\Delta t)^2}{2}\)
Answer» B. \(\rho_{i,j}^{t+\Delta t}+(\frac{\partial \rho}{\partial t})_{i,j}^{t+\Delta t} \Delta t+(\frac{\partial^2 ρ}{\partial t^2 })_{i,j}^{t+\Delta t}\frac{(\Delta t)^2}{2}\)
Discussion
4.

How many terms of the Taylor series expansion is used in the Lax-Wendroff technique?

A. (Δ t)1 and (Δ t)2
B. (Δ t)0, (Δ t)1 and (Δ t)2
C. (Δ t)0 and (Δ t)1
D. (Δ t)0
Answer» C. (Δ t)0 and (Δ t)1
Discussion
5.

Which series expansion is used by the Lax-Wendroff Technique?

A. Taylor Series
B. Fourier series
C. McLaurin series
D. Laurent series
Answer» B. Fourier series
Discussion
6.

What is the order of accuracy of the Lax-Wendroff technique?

A. fourth-order
B. third-order
C. first-order
D. second-order
Answer» E.
Discussion
7.

The Lax-Wendroff technique is ____________

A. explicit, finite-difference method
B. implicit, finite-difference method
C. explicit, finite volume method
D. implicit, finite volume method
Answer» B. implicit, finite-difference method
Discussion