Question

The predictor-corrector method is maximum ___________

(a) second-order accurate

(b) cannot be defined

(c) third-order accurate

(d) fourth-order accurate

The question was posed to me during an interview for a job.

My enquiry is from Transient Flows topic in portion Transient Flows of Computational Fluid Dynamics

Answer 1

The correct answer is:

(d) fourth-order accurate

Explanation:

The predictor-corrector method, when used in the context of numerical methods for solving transient flow problems, typically achieves fourth-order accuracy. This is because the method uses a predictor step to estimate the solution and a corrector step to refine the estimate, effectively improving the overall accuracy compared to simpler methods like second-order schemes.

In fluid dynamics simulations, this method is often employed to improve the accuracy of the solution while solving time-dependent problems.

Correct Answer: (d) fourth-order accurate