Practice First Order And Second Order Differences (6.2) - Computational fluid dynamics (Contd.)

Practice: First Order and Second Order Differences

Lesson 6.2Computational fluid dynamics (Contd.)

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8 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
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define forward difference.
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Think about using points ahead of the current point.
Question 2.
What is truncation error?
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Consider what happens when you stop at a few terms.
3Question 3.
What is the formula for first-order forward difference?
- \\( \\frac{u_{i,j} - u_{i-1,j}}{\\Delta x} \\)
- \\( \\frac{u_{i+1,j} - u_{i,j}}{\\Delta x} \\)
- \\( \\frac{u_{i,j} - u_{i+1,j}}{\\Delta x} \\)
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Think about how you can go ahead of your current position.
4Question 4.
True or False: Lower truncation error can be achieved by using a larger delta.
- True
- False
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Recall what happens to error with smaller increments.
Question 5.
Given values for a grid, compute the first and second-order differences for temperature changes.
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Start with the forward differences and move to the central difference.
Question 6.
Discuss the implications of increasing delta on truncation errors and solution accuracy.
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Think about what truncating means for precision and accuracy.

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