16.14. Numerical Methods (Overview)

Try these first

1. 1.

   What does FDM stand for?

   Hint

   Think about how derivatives are approximated.

2. 2.

   Name one software that uses FEM.

   Hint

   It's used in structural analysis.

3. 3.

   What is an advantage of using FDM?

   • It allows for complex geometries
   • It is simple and easier to implement
   • It conserves mass

   Hint

   Consider which method is more approachable.

4. 4.

   True or False: FEM cannot handle irregular geometries.

   • True
   • False

   Hint

   Think about the flexibility of the method.

5. 5.

   You are tasked with simulating the temperature distribution in a metal rod after applying FDM. Describe the steps you would take to set up your simulation.

   Hint

   Break the problem into manageable parts.

6. 6.

   Discuss how you would approach solving a fluid flow problem with FVM. What factors would need to be considered?

   Hint

   Focus on the principles of conservation.