aPriori.DNS.gradient_x

aPriori.DNS.gradient_x(F, mesh, filter_size=1)

Description

Computes the gradient of a 3D, non downsampled, filtered field. Numpy is used to compute the gradients on all the possible downsampled grids.

Specifically, the parameter filter_size is used to temporarily downsample the grid in the x direction. The function considers one point each filter_size points and computes the derivatives on this downsampled grid. Does this for every possible downsampled grid, so in the end the output field has the same shape as the input field.

param Ur:

Is the field to filter.

type Ur:

Scalar3D object

param mesh:

Is the mesh object used to compute the derivatives.

type mesh:

Mesh3D object

param filter_size:

Is the filter size used to filter the field.

type filter_size:

int

param verbose:

If True, it will output relevant information.

type verbose:

bool

returns:

grad_x – The x component of the gradient

rtype:

numpy array