in Earth Systems
Pre-class Quiz #3:
Background Preparation for Lab #3:
Numerical Modeling of 1-D Shallow Water Waves
in a Wave Tank
This is a "preview" version of Pre-class Quiz #3. The
preview version is suitable for printing and leisurely inspection before you
submit your answers to the interactive or "live" version—that
is, the real thing. When you feel ready to submit your answers, go to iLearn's
ERTH 430 "Pre-class Quizzes" section, select the interactive
version, and follow its instructions.
(Responses must be submitted via iLearn by 9:00 a.m. on Friday, Dec. 8.
Description: The questions below are based on the background and instructions for Lab #3: Numerical Modeling of 1-D Shallow Water Waves in a Wave Tank.
(1) Multiple Choice. Variables in the 1-D Shallow Water Wave Equations. Lab #3 is about the one-dimensional (1-D) shallow water wave equations, which are a pair of coupled, partial differential equations describing how two properties of a layer of water change. What are the two variables? (Pick the one best answer.)
(2) Multiple Choice. Direct Origins of the 1-D Shallow Water Wave Equations. The two 1-D shallow water wave equations are scaled and mathematically manipulated versions of the governing equations. Which of the governing equations do they come from most directly? (Pick the one correct answer.)
(3) Multiple Choice. Indirect Contribution to the 1-D Shallow Water Wave Equations from the Governing Equations. The two 1-D shallow water wave equations also contain information indirectly from a third governing equation (via substitution to eliminate one of the variables constrained and described by the governing equations). Which governing equation is it? (Pick the one correct answer.)
(4) Multiple Choice. Horizontal Pressure-Gradient Force/Mass in the 1-D Shallow Water Wave Equations. Why does it make sense that the horizontal pressure-gradient force/mass in the water should be related to the horizontal gradient of the depth of the water (that is, the slope of the water surface)? (Pick the one correct answer.)
(5) Multiple Answer. Assumptions Underlying the 1-D Shallow Water Wave Equations. On what assumptions (supported by scaling) are the 1-D shallow water wave equations based? (Select all that are correct. There might be more than one.)
(6) Multiple Choice. Lab #3 Experiments and Simulations. Lab #3 asks you to compare observations of waves in the tank to numerical computer model simulations based on the 1-D shallow water wave equations, in two different wave situations (experiment). What distinguishes the two experimental situations? (Pick the one correct answer.)
(7) Multiple Answer. 1-D Shallow Water Wave Speed. In 1-D shallow water waves, the waves (as distinct from bits of water) travel at a certain speed. What can we say about that speed? (Pick all answers that are correct. There might be more than one.)
(8) Multiple Answer. Lab #3 1-D Shallow Water Wave Model Input. When you run the numerical 1-D shallow water wave model using MATLAB, it will prompt you for information that it needs to perform a simulation. For what information will it prompt you? (Pick all answers that are correct. There might be more than one.)