Filters::FilledSphere< TagList >::RadialHalfPower Struct Reference

Half of the exponent \(\sigma_r\) in the smooth exponential roll-off applied to the radial modal coefficients. More...

#include <FilledSphere.hpp>

Public Types
using	type = Options::Auto<size_t, Options::AutoLabel::None>

Static Public Attributes
static constexpr Options::String	help

Detailed Description

template<typename TagList>
struct Filters::FilledSphere< TagList >::RadialHalfPower

Half of the exponent \(\sigma_r\) in the smooth exponential roll-off applied to the radial modal coefficients.

\begin{align*} c_i \to c_i \exp\!\left[-36 \left(\frac{n_i}{N_r}\right)^{2\sigma_r}\right], \end{align*}

where \(n_i = \lfloor (\ell + 2 n_\mathrm{jac}) / 2 \rfloor\) ( \(n_\mathrm{jac}\) is the radial Jacobi index) and \(N_r\) is the radial basis degree. If None, the radial direction is not filtered.

Member Data Documentation

help

template<typename TagList>

Options::String Filters::FilledSphere< TagList >::RadialHalfPower::help

staticconstexpr

Initial value:

=
        "The half-power sigma for the radial exponential filter. "
        "If None, no radial filtering is applied."

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The documentation for this struct was generated from the following file:

• src/NumericalAlgorithms/LinearOperators/Filters/FilledSphere.hpp