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For consistency to have some relationship with discretization error, the discretization error should be ____________

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For consistency to have some relationship with discretization error, the discretization error should be ____________

(a) some powers of time-step

(b) some powers of grid spacing

(c) some powers of time-step and/ or grid spacing

(d) some function of time-step and/ or grid spacing

The question was posed to me during an online exam.

Enquiry is from Discretization Aspects in portion Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

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Best answer
Correct answer is (a) some powers of time-step

Best explanation: When time-step and grid spacing approaches zero, discretization error should approach zero. For this, it should be some powers of time-step and/ or grid spacing. If it is a function, it may or may not become zero.

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