Question
Some functions describing behavior in this regime are called "cnoidal" because they are expressed in terms of the elliptic cosine function “cn”. For 10 points each:
[10h] Name this regime that can also be modeled by the three Saint-Venant equations. The equation "U sub t plus U sub xxx minus 6 U U sub x equals 0" was developed to model phenomena in this regime.
ANSWER: shallow water [accept descriptions of the depth being small]
[10m] Korteweg and de Vries rediscovered an equation modeling shallow water waves originally introduced by this scientist. This scientist developed an approximation valid in the shallow water regime that is used to solve for buoyancy-driven flows.
ANSWER: Joseph Boussinesq [accept Boussinesq approximation]
[10e] In the Boussinesq approximation, density differences are ignored except when they are multiplied by this value. The pressure on an object submerged in fluid equals density times this value times height.
ANSWER: gravitational acceleration [or little g or lowercase g or Earth's gravity or acceleration due to gravity; prompt on g]
<Science - Other Science - Astronomy>
Summary
| 2024 ARGOS @ Chicago | 11/23/2024 | Y | 1 | 30.00 | 100% | 100% | 100% |
Data
| BHSU Rebirth | BHSU ReFantazio | 10 | 10 | 10 | 30 |