Practice Finite Difference Method - 2.5.2.1.1 | 11. Computational Fluid Dynamics | Hydraulic Engineering - Vol 3
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2.5.2.1.1 - Finite Difference Method

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does CFD stand for?

💡 Hint: Think about the study of fluid flows and simulations.

Question 2

Easy

Define discretization in your own words.

💡 Hint: Consider how we transform a curve into individual points.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the main purpose of the Finite Difference Method?

  • To solve complex equations
  • To approximate derivatives
  • To visualize flow fields

💡 Hint: What does it mean to approximate something?

Question 2

CFD is primarily used in which field?

  • Engineering
  • Mathematics
  • Arts

💡 Hint: Think about where fluids commonly need to be analyzed.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A natural water stream’s velocity field must be analyzed over a 50m stretch. The stream can be approximated as a 1D flow. Calculate the velocity at 5 points using the finite difference method with a grid spacing of 10m. Assume a uniform flow of 3 m/s.

💡 Hint: Consider how velocity remains constant in uniform flow.

Question 2

Design a simple grid for a 3D domain of a water tank with dimensions of 5m x 5m x 10m. How would you approximate the velocity at the corners using finite difference values if the velocity at the inflow point is 2 m/s and their neighbors are 1.5 m/s?

💡 Hint: Think about how averaging helps smooth out discrepancies.

Challenge and get performance evaluation