Transport Equation Characteristics
Follow characteristics to transport a profile without diffusion.
Free theory articleFollow characteristics to transport a profile without diffusion.
Concept & interpretation
The first-order linear transport equation models the advection of a scalar quantity without diffusion. It describes a profile traveling at a constant velocity over time.
Experiment
Explore this concept in the Transport Equation Characteristics module.
- Select the Profile as "Gaussian" and Speed c as 1.
- Change the Time t to observe the profile translating to the right.
- Adjust the Probe x and verify that the calculated residual is always zero, confirming exact advection without diffusion.