Practice Computational Fluid Dynamics (contd.) (6) - Computational fluid dynamics (Contd.)

Practice: Computational fluid dynamics (Contd.)

Lesson 6Computational fluid dynamics (Contd.)

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9 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the purpose of finite differences?
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Think about what we do when we can't find a function's derivative directly.
Question 2.
Define truncation error in your own words.
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What happens when you cut off a Taylor series?
3Question 3.
What does a finite difference method approximate?
- Integrals
- Derivatives
- Functions
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Focus on what finite differences are designed to calculate.
4Question 4.
True or False: Round-off error arises from neglecting small terms in Taylor series.
- True
- False
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Consider the differences in where errors originate.
Question 5.
A velocity profile is measured over time in a CFD simulation. The values are subject to both round-off and discretization errors. How would you mitigate these errors while maintaining accuracy in simulation results?
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Consider the strategies discussed in error analysis.
Question 6.
Using von Neumann stability analysis, derive the condition for stability for a heat equation modeled in a one-dimensional domain. What does this condition imply for numerical simulations?
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Refer to the final relation given at the end of the stability section.

5 more questions in this section. Enroll free to practise them all.