from Wiktionary, Creative Commons Attribution/Share-Alike License
- adj. Of or pertaining to Leonhard Euler (1707-1783), pioneering Swiss mathematician and physicist.
from the GNU version of the Collaborative International Dictionary of English
- adj. Pertaining to Euler, a German mathematician of the 18th century.
from The Century Dictionary and Cyclopedia
- Pertaining to or invented by the Swiss mathematician Leonhard Euler (1707–83).
At that time I was coding what is called a Lagrangian Trajectory model version of the more elaborate Eulerian Grid model that had been developed by the research/consulting firm that employed me, then named Systems Applications Inc. One of my tasks was to code up and test the HSD mechanism in the simpler model.
The alternative to “Eulerian” is “Lagrangian” where the model volume itself moves around, usually with the fluid flow, which is to say, the wind.
I spent a number of years developing what is called a “three-dimensional Eulerian photochemical grid model,” aka the “Urban Airshed Model.”
Eulerian modeling is probably the easiest to describe and understand: just divide the volume holding the fluid into a lot of small, connected boxes, and calculated the flows among the boxes.
Such models are much computationally cheaper than Eulerian models often called "grid models", and are also cheaper to develop.
There are two ways of modeling fluid mechanics, Lagrangian and Eulerian, named after 18th Century mathematicians.
I consider the inviscid Navier-Stokes Eulerian equations as the basic
There are two main divisions of integral scales, Eulerian and Lagrangian.
It takes advantage of a combination of the Eulerian (an Eulerian computational grid is fixed in space co-ordinates) and Lagrangian (it is needed to solve only one dimensional time dependent ion and electron continuity and energy equations along a magnetic field B in the moving Lagrangian frame of reference) approaches.
In Angola, the Chokwe people draw lines in the sand, and it's what the German mathematician Euler called a graph; we now call it an Eulerian path -- you can never lift your stylus from the surface and you can never go over the same line twice.
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