divergence-free

Simulation noise is a function that creates a divergence-free field.

Note that is also needed (angular velocity is divergence-free).

This lemma establishes that the parafermionic observable is divergence-free.

Perlin Noise is not suited for simulation because it is not divergence-free.

This all would seem to refute the frequent statements that the incompressible pressure enforces the divergence-free condition.

Taking the curl of the scalar stream function elements gives divergence-free velocity elements.

The converse is also true: any persistent electric current is divergence-free, and can therefore be represented instead by a magnetization.

It is desirable to choose basis functions which reflect the essential feature of incompressible flow - the elements must be divergence-free.

Poloidal-toroidal decomposition for a further decomposition of the divergence-free component .

By the divergence-free assumption, .

Matter and geometry must satisfy Einstein's equations, so in particular, the matter's energy-momentum tensor must be divergence-free.

Due to this last property, the solutions for the Navier-Stokes equations are searched in the set of solenoidal ("divergence-free") functions.

Thus will be a b, x-ALT pattern, and all others will be divergence-free on their first steps.

The pressure value that is attempted to compute, is such that when plugged into momentum equations a divergence-free velocity field results.

In special relativity, conservation of energy-momentum corresponds to the statement that the energy-momentum tensor is divergence-free.

The discrete form of this is imminently suited to finite element computation of divergence-free flow, as we shall see in the next section.

The first Cauchy-Riemann equation (1a) asserts that the vector field is solenoidal (or divergence-free):

If the assumption is made that the atmosphere is divergence-free, the curl of the Euler equations reduces into the barotropic vorticity equation.

On the left-hand side is the Einstein tensor, a specific divergence-free combination of the Ricci tensor and the metric.

The stream function is defined for incompressible (divergence-free) flows in two dimensions - as well as in three dimensions with axisymmetry.

In analogy with electric and magnetic fields, the E-mode field is curl-free and the B-mode field is divergence-free.

Recently, we have been formulating relativistic lattice wave field equations (in terms of partial difference equations) in order to obtain divergence-free S-matrix expansions.

It states that the vector field defined on a simply connected domain can be uniquely decomposed into a divergence-free (solenoidal) part and an irrotational part .

The initial condition is assumed to be a smooth and divergence-free function and the external force is assumed to be a smooth function as well.

In the second, the pressure is used to project the intermediate velocity onto a space of divergence-free velocity field to get the next update of velocity and pressure.