2010 | OriginalPaper | Chapter
Semi-Lagrangian Methods
Author : Dale R. Durran
Published in: Numerical Methods for Fluid Dynamics
Publisher: Springer New York
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Most of the fundamental equations in fluid dynamics can be derived from first principles in either a
Lagrangian
form or an
Eulerian
form. Lagrangian equations describe the evolution of the flow that would be observed following the motion of an individual parcel of fluid. Eulerian equations describe the evolution that would be observed at a fixed point in space (or at least at a fixed point in a coordinate system such as the rotating Earth whose motion is independent of the fluid).