Practice Numerical Methods For The 2d Wave Equation (19.10) - Modelling – Membrane, Two-Dimensional Wave Equation

Practice: Numerical Methods for the 2D Wave Equation

Lesson 19.10Modelling – Membrane, Two-Dimensional Wave Equation

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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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6 sample questions

Question 1.
What is the purpose of numerical methods?
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Think about practical applications in engineering.
Question 2.
Name the two numerical methods discussed.
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Consider abbreviations in your answer.
3Question 3.
What is the CFL condition used for?
- To ensure solution stability
- To speed up calculations
- To define boundary conditions
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It deals with how numerical solutions behave over time.
4Question 4.
True or False: FEM works better for complex geometries than FDM.
- True
- False
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Think about the structure of the domains being analyzed.
Question 5.
Design a numerical approach to simulate the vibrations of a circular membrane, specifying whether you would use FDM or FEM. Justify your choice.
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Think about the shape and complexity of the membrane.
Question 6.
Compare and contrast the advantages of FDM and FEM in a report focused on civil engineering applications. Include specific scenarios.
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Consider the types of geometries encountered in civil engineering.

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