Examples
Examples
Try the starting example
- First state flow (vehicles/hour)
- 1200
- First state density (vehicles/km)
- 30
- Second state flow (vehicles/hour)
- 600
- Second state density (vehicles/km)
- 100
- Ideal shockwave speed (km/hour)
- -8.571429
- Propagation direction
- upstream
Try another scenario
- First state flow (vehicles/hour)
- 1201
- First state density (vehicles/km)
- 30
- Second state flow (vehicles/hour)
- 600
- Second state density (vehicles/km)
- 100
- Ideal shockwave speed (km/hour)
- -8.585714
- Propagation direction
- upstream
Calculation method
Calculation method
Ideal shockwave speed (km/hour)
Kinematic shockwave w=(q2−q1)/(k2−k1), downstream travel positive.
Propagation direction
Kinematic shockwave w=(q2−q1)/(k2−k1), downstream travel positive.
Symbols and units
- a
- First state flow (vehicles/hour)
- b
- First state density (vehicles/km)
- c
- Second state flow (vehicles/hour)
- d
- Second state density (vehicles/km)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- User-supplied measurements and assumptions; Kinematic shockwave w=(q2−q1)/(k2−k1), downstream travel positive. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.