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Coding Example: Fluid Dynamics

Explore fluid dynamics simulation by understanding the Eulerian and Lagrangian methods and their role in computational fluid problems. Learn to implement smoke simulation using NumPy's vectorized approach for efficient and stable fluid behavior modeling.

Problem Description

Now let’s look at another interesting example!

Hydrodynamic flow at two different zoom levels, Neckar river, Heidelberg, Germany. Image by Steven Mathey, 2012.
Hydrodynamic flow at two different zoom levels, Neckar river, Heidelberg, Germany. Image by Steven Mathey, 2012.

Lagrangian vs Eulerian method

In classical field theory, the Lagrangian specification of the field is a way of looking at fluid motion where the observer follows an individual fluid parcel as it moves through space and time. Plotting the position of an individual parcel through time gives the pathline of the parcel. This can be visualized as sitting in a boat and drifting down a river.

The Eulerian specification of the flow field is a way of looking at fluid motion that focuses on specific locations in the space through which the fluid ...