Eulerian love

# Eulerian

## Definitions

• 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).

Euler +‎ -ian

## Examples

• 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.

Archive 2008-02-01

• The alternative to “Eulerian” is “Lagrangian” where the model volume itself moves around, usually with the fluid flow, which is to say, the wind.

Thinking Outside the Box

• I spent a number of years developing what is called a “three-dimensional Eulerian photochemical grid model,” aka the “Urban Airshed Model.”

Thinking Outside the Box

• 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.

More Wayback Machine

• Such models are much computationally cheaper than Eulerian models often called "grid models", and are also cheaper to develop.

More Wayback Machine

• There are two ways of modeling fluid mechanics, Lagrangian and Eulerian, named after 18th Century mathematicians.

Archive 2007-11-01

• I consider the inviscid Navier-Stokes Eulerian equations as the basic

Exponential Growth in Physical Systems #2 « Climate Audit

• There are two main divisions of integral scales, Eulerian and Lagrangian.

Recyclable AbathyThermograph Instruments « Climate Audit

• 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.

IPCC and Solar Correlations « Climate Audit

• 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.

Ron Eglash on African fractals