4.1.1.1.2 pde.backends.jax.operators.cylindrical_sym module

This module implements differential operators on cylindrical grids.

`make_laplace`	Make a discretized laplace operator for a cylindrical grid.
`make_gradient`	Make a discretized gradient operator for a cylindrical grid.
`make_gradient_squared`	Make a discretized gradient squared operator for a cylindrical grid.
`make_divergence`	Make a discretized divergence operator for a cylindrical grid.
`make_vector_gradient`	Make a discretized vector gradient operator for a cylindrical grid.
`make_vector_laplace`	Make a discretized vector laplace operator for a cylindrical grid.
`make_tensor_divergence`	Make a discretized tensor divergence operator for a cylindrical grid.

make_divergence(grid)[source]

Make a discretized divergence operator for a cylindrical grid.

Parameters:: grid (CylindricalSymGrid) – The grid for which the operator is created
Returns:: A function that can be applied to an array of values
Return type:: OperatorImplType

make_gradient(grid)[source]

Make a discretized gradient operator for a cylindrical grid.

Parameters:: grid (CylindricalSymGrid) – The grid for which the operator is created
Returns:: A function that can be applied to an array of values
Return type:: OperatorImplType

make_gradient_squared(grid, *, central=True)[source]

Make a discretized gradient squared operator for a cylindrical grid.

Parameters:

grid (CylindricalSymGrid) – The grid for which the operator is created
central (bool) – Whether a central difference approximation is used for the gradient operator. If this is False, the squared gradient is calculated as the mean of the squared values of the forward and backward derivatives.

Returns:

A function that can be applied to an array of values

Return type:

OperatorImplType

make_laplace(grid)[source]

Make a discretized laplace operator for a cylindrical grid.

Parameters:: grid (CylindricalSymGrid) – The grid for which the operator is created
Returns:: A function that can be applied to an array of values
Return type:: OperatorImplType

make_tensor_divergence(grid)[source]

Make a discretized tensor divergence operator for a cylindrical grid.

Parameters:: grid (CylindricalSymGrid) – The grid for which the operator is created
Returns:: A function that can be applied to an array of values
Return type:: OperatorImplType

make_vector_gradient(grid)[source]

Make a discretized vector gradient operator for a cylindrical grid.

Parameters:: grid (CylindricalSymGrid) – The grid for which the operator is created
Returns:: A function that can be applied to an array of values
Return type:: OperatorImplType

make_vector_laplace(grid)[source]

Make a discretized vector laplace operator for a cylindrical grid.

Parameters:: grid (CylindricalSymGrid) – The grid for which the operator is created
Returns:: A function that can be applied to an array of values
Return type:: OperatorImplType