Abstract
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).
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Durran, D.R. (2010). Semi-Lagrangian Methods. In: Numerical Methods for Fluid Dynamics. Texts in Applied Mathematics, vol 32. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6412-0_7
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DOI: https://doi.org/10.1007/978-1-4419-6412-0_7
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