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2 cards from this section. Quick, good the night before a test.
Define finite difference.
Think about how derivatives can be approximated.
What is truncation error?
Consider what happens when we reduce a series.
What does a finite difference method approximate?
Remember the fundamental connection to derivatives.
True or False: The truncation error can be eliminated completely by using finite difference methods.
Consider the nature of approximations.
You are tasked with choosing a finite difference method for a turbulent flow simulation. Explain which method you would choose (forward, backward, or central) and justify your choice based on error minimization and stability.
Consider the nature of turbulent flows and importance of precision.
Create a numerical simulation using finite difference methods and analyze the results for different values of delta x. Discuss how changing delta x affects the truncation error.
Visual tools like graphs can clarify the relationships between delta x and truncation error effectively.
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