Practice Grid Size And Computational Cost (2.13) - Computational fluid dynamics (Contd.)
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Grid Size and Computational Cost

Practice - Grid Size and Computational Cost

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define Reynolds shear stress.

💡 Hint: Think about its relationship to average velocities.

Question 2 Easy

What is the significance of Kolmogorov length scale in turbulence?

💡 Hint: Consider its relation to grid size.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Reynolds shear stress represent in fluid dynamics?

A. Viscous forces
B. Turbulent effects on mean flow
C. Gravitational forces
D. None of the above

💡 Hint: Focus on its definition in turbulence modeling.

Question 2

True or False: The Kolmogorov length scale is the largest scale of turbulence.

True
False

💡 Hint: Recall the definition of Kolmogorov scale.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a turbulent flow with a Reynolds number of 10^5, calculate how many grid points would be required based on the relation derived (Re^9/4). Discuss feasibility in terms of computational power.

💡 Hint: Consider the implications of needing such a large number of grid points.

Challenge 2 Hard

Develop a method for optimizing grid size in a DNS simulation of a turbulent flow where computational resources are limited. Outline your strategy.

💡 Hint: Think about adapting grid sizes based on observed turbulence characteristics.

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