Practice Case When M < 1 (2.1) - Computational fluid dynamics (Contd.)

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9 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What classification does a PDE have when M < 1?
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Think about the discriminant and its value.
Question 2.
What is the discriminant expression for our PDE setup?
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Recall how we derive it from coefficients.
3Question 3.
What indicates an elliptical PDE?
- B² - 4AC < 0
- B² - 4AC = 0
- B² - 4AC > 0
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Recall the conditions for each classification.
4Question 4.
When M > 1, what type of PDE is observed?
- True
- False
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Think about the relationship to the discriminant.
Question 5.
Given the function phi(x, y) = sin(x) + cos(y), find the partial derivatives and classify the resulting PDE for M values of your choosing.
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Remember classification related to discriminants when deriving M.
Question 6.
If M varies continuously from 0.9 to 1.1, describe the behavior of the equation and expected nature of solutions.
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Focus on discriminants across different intervals.

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