2.5.2.1.1 - Finite Difference Method
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Practice Questions
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What does CFD stand for?
💡 Hint: Think about the study of fluid flows and simulations.
Define discretization in your own words.
💡 Hint: Consider how we transform a curve into individual points.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main purpose of the Finite Difference Method?
💡 Hint: What does it mean to approximate something?
CFD is primarily used in which field?
💡 Hint: Think about where fluids commonly need to be analyzed.
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Challenge Problems
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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.
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.
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