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📐 Related to Euler 🔗 Graph with special path 🌊 Fixed-point method
Eulerian

Eulerian

1 9.9
A way of studying how fluids move by watching fixed places over time
  • adjective
  • /ˈɔɪlərɪən/
  • Specialized
: euleriano
  • The Eulerian perspective is essential for examining how properties of the fluid change while remaining at the same location.
  • Eulerian model

Examples

  • Characterizations of flow structures in terms of the properties of Eulerian fields, such as the velocity field, tend not to be objective; they don't remain invariant under time-dependent rotations and translations of the reference frame.

    Academic text (2012)

  • The velocity field is a prime example of an Eulerian description.

    Academic text (2012)

  • With increasing turbulence, it becomes easier to take the more field-theoretic Eulerian approach, which describes the fluid in a coordinate system fixed in space.

    Academic text (2006)

  • To solve the problem of oil distribution with the boundary conditions set at the moving ice-oil interface, the Eulerian-Lagrangian method for moving solid medium is applied.

    Academic text (2018)

  • In MP-PIC modeling, the fluid phase is modeled in the Eulerian grid with Navier-Stokes equations.

    Academic text (2018)

  • Data about annual concentrations of PM10 were available from two sources: a Eulerian photochemical model developed by the Regional Agency of Environmental Protection (Milan, Italy) that accounted for transport, chemical conversion, and deposition of atmospheric pollutants (Silibello et al. 2008), and the regional monitoring network for air quality control.

    Academic text (2015)

  • The researchers used an Eulerian approach to study particle distributions in the fluid over time.

  • In computational fluid dynamics, the Eulerian method allows for the observation of flow patterns at fixed points in space.

Surface Forms

Eulerian positive

Morphology

Eulerian = Euler (transparent) = Euler + ian

Regular adjectival derivation from the proper name 'Euler'; 'Eulerian' means 'relating to Euler' and is thus morphologically transparent even though the Eulerian vs. Lagrangian distinction is domain-specific.

Etymology

Eulerian comes from the name Euler, who also wrote about how fluids move and ways to watch them at set places. A helpful way to remember this is to think of 'watching a fixed place': an Eulerian method studies what happens at specific locations in space as time passes.