5. Climate Modeling and Data

Numerical Methods — Quiz

Test your understanding of numerical methods with 5 practice questions.

Practice Questions

Question 1

Which of the following describes the process of replacing continuous equations with discrete approximations in climate models?

Question 2

What is the primary goal of numerical stability in climate simulations?

Question 3

Which of the following phenomena would most likely require parameterization in a global climate model with a typical grid resolution?

Question 4

The Courant-Friedrichs-Lewy (CFL) criterion is a condition for what aspect of numerical solutions in climate models?

Question 5

Consider a simple advection equation: $\frac{\partial \phi}{\partial t} + U \frac{\partial \phi}{\partial x} = 0$ If we use a forward-in-time, centered-in-space finite difference scheme, what is a potential issue if the time step $\Delta t$ is too large relative to the spatial step $\Delta x$ and advection speed $U$?