Practice Hydraulic Engineering (1) - Computational fluid dynamics (Contd.)

Practice: Hydraulic Engineering

Lesson 1Computational fluid dynamics (Contd.)

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9 questions

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6 sample questions

Question 1.
Define truncation error.
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Think about Taylor series expansions.
Question 2.
What is the difference between forward and backward differences?
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Look at how indices change.
3Question 3.
What is the primary goal of using finite difference methods?
- To simplify algebraic equations
- To approximate derivatives
- To minimize computational time
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Think about the function changes.
4Question 4.
True or False: Convergence ensures that the numerical method approaches the actual PDE solution as the grid spacing approaches zero.
- True
- False
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Consider what happens as you refine the grid.
Question 5.
For the PDE of a given velocity potential, classify the equation depending on the parameter 'm' being less than 1, greater than 1, and equal to 0. What does this indicate regarding the nature of the equation?
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Use the discriminant method where needed.
Question 6.
Given a numerical grid size of Δx = 0.1 and Δt = 0.01, evaluate the stability condition and determine if the chosen values are stable.
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Recalling the stability formula will guide you.

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