Link to Student
Journal Entry For
Module 2 - Ripples on a Pond
![image](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2Fe2495e5b-b4e7-4495-b00d-ccff8f838714%2FUntitled.png?id=b887b5bd-8506-415b-9617-a1ffda95dc65&table=block)
![image](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2Fd100cfc3-0fd6-4027-9c4a-9782dd4bf3d6%2FUntitled.png?id=619316fb-57f7-4b2c-9bcc-1aa428dc4297&table=block)
Modeling Approach
![image](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2F420c4405-ba0a-4ab7-bcf9-c4260a0fa082%2FUntitled.png?id=21bac5ff-cf2b-4487-a7ff-71cbbfd5147e&table=block)
The steps are as follows:
- Create a grid
- Create attractor point, pebble 1
- Place Cylinders at grid points
- Compute the distance of pebble 1 to cylinders
- Compute Sine wave
- Set cylinder parameters
- Radius = 1
- Height: based on sine waves
- Set diminish ripples
- Create pebble 2 and 3
- Compute new height (sine wave)
Notes:
1. Scaling factor: convert distance to angle
![image](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2F28bd0381-517a-43c1-8d99-630488d89416%2FUntitled.png?id=142d50ce-1ff5-47b0-8e44-a5eccca8a03e&table=block)
![image](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2Fc516c351-2a9d-4003-903d-e0aa5996f5bb%2FUntitled.png?id=2e8c0f57-5bcc-487a-a5c8-7cb8ad99a49c&table=block)
![image](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2F75d145b2-2c33-4c78-9ae2-ad5866ec2851%2FUntitled.png?id=68f4aee7-0ca9-47e9-98f6-fa240b994379&table=block)
2. Sine Wave
![image](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2F2aa7bcc1-b8a7-4a1e-a6df-65b46ee269fc%2FUntitled.png?id=d6991c31-20b8-4c9e-9db3-bddf627782e8&table=block)
- Offset is set to amplification factor value to convert all heights to ≥ 0.
- An adjustment factor to diminish the ripples is added. It is set to 2 * grid side length / (distance + 5).
- 2 * grid side length: to make sure the diminish factor is large enough.
- The “+5” is to avoid very large diminish factor very close to the pebbles.
- When there are 3 pebbles, the height of the cylinders are determined by the closest pebble. It assumes that all pebbles are dropped at the same time.