Practice Solving Pde (2) - Computational fluid dynamics (Contd.) - Hydraulic Engineering

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9 questions

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2 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 are the coefficients A, B, and C in the equation 1 - M²φxx + φyy for M < 1?
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Look at the equation and identify the coefficients.
Question 2.
What is the value of the discriminant when M = 1?
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Substitute M = 1 into the discriminant expression.
3Question 3.
What does B² - 4AC < 0 indicate?
- Elliptical PDE
- Hyperbolic PDE
- Parabolic PDE
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Think about the classification of PDEs.
4Question 4.
True or False: The finite volume method is free from truncation errors.
- True
- False
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Consider the advantages of FVM over other methods.
Question 5.
A PDE is given as 2u_xx - 3u_yy = 0. Classify this PDE by determining the discriminant and explaining your reasoning.
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Use the discriminant formula to classify the PDE.
Question 6.
Using the finite volume method, you'll model the flow across 4 control volumes. Describe how you would set this up and solve for flow rates across each volume.
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Think about how conservation principles apply here.

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