# solenoidal

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Related to solenoidal: Irrotational vector field

## solenoidal

[¦säl·ə¦nȯid·əl]
(mathematics)
A vector field has this property in a region if its divergence vanishes at every point of the region.
References in periodicals archive ?
To minimize the deviation from the solenoidal field, two error-compensating terms should be introduced into the source term of the PPE.
Last but not least, we mention that it is possible to create such a solution with a solenoidal current satisfying [nabla] x J = 0 for a static charge distribution if a class of functions [g.
1991) and the upward distribution of heat over the depth of the lake-effect convection, is likely to produce a solenoidal circulation pattern over the width of the lake.
Anyway, whatever the general analytical form of v might be, this condition means that the vector v is solenoidal, which classically excludes sinks or sources of matter in the volume [DELTA][x.
Since we are interested to provide a solution for design of an AMM (enhanced positive permeability) with low loss and less dispersion, we adopt a circuit model which is based on a solenoidal approximation and on the area and perimeter of the inclusions.
As mentioned in , it must be emphasized that in the x, y transverse plane, the magnetic field is a purely gradient field [nabla] x H = 0 (with open field lines, beginning and ending on different wires), and that the electric displacement vector is a purely solenoidal field [nabla] x D = 0 (with closed field lines, embracing one or several wires).
In a normal situation, the water is inviscid and incompressible, and hence the fluid motion is irrotational and solenoidal.
This nonsolenoidal velocity field is projected onto a solenoidal one by using scalar quantity.
Wurden said that the FRC configuration had fusion reactor promise because it has "low complexity due to low magnetic field and a solenoidal magnet system with a natural linear divertor.
Athena incorporates a two-meter-long superconducting solenoidal magnet, which is cooled by liquid helium to 4K (about -269 [degrees] C), then energized by an external current supply for its initial magnetic field.
In driving a solenoidal current to create a circulating A field we accelerate J with a transient circulating E field.
As a quasi-Helmholtz decomposition and robust low-frequency solver, the loop-tree or loop-star decomposition [4-8] separates the surface current into solenoidal and irrotational parts to capture the inductance and capacitance physics, respectively.

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