Solenoidal Field

The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Solenoidal Field

 

a vector field that has no source. In other words, the divergence of a vector a of a solenoidal field is equal to zero: div a = 0. An example of a solenoidal field is a magnetic field: div B = 0, where B is the magnetic induction vector. A solenoidal field can always be represented in the form a = curl b; here, curl is the differential operator also known as rotation, and the vector b is called the vector potential of the field. (See alsoVECTOR CALCULUS.)

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
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In semi-implicit algorithm, a projection onto the solenoidal field provides error clean-up in pressure field, while in explicit algorithm, re-initialization of density field to remove error accumulation is essential.
To attenuate errors of projection onto solenoidal field and resultant errors of volume conservation, the ECS (Error Compensating Source) of PPE was proposed for both MPS and ISPH methods (Khayyer and Gotoh, 2011).
While, due to numerical errors, the updated velocity field [u.sup.k+1] slightly deviates from the solenoidal field.
The system was embedded in a 1.5 T solenoidal magnetic field; the detection system was cylindrical in shape with cylinder axis (2 m in length and 1.8 m in diameter) parallel to the solenoidal field. A schematic view of the MEGA experiment is shown in Figure 12.
Baseline concepts include the use of PMMs to remove the solenoidal field.