vtb::core::Gerstner_solver< T, N > Class Template Reference

Trochoidal irrotational waves solves named after Gerstner. More...

#include <gerstner.hh>

Collaboration diagram for vtb::core::Gerstner_solver< T, N >:

Public Types
using	scalar_type = T
using	vertex_type = blitz::TinyVector< T, N >
using	vertex_field_3d = Array< vertex_type, 3 >
using	scalar_field_3d = Array< T, 3 >
using	grid3 = Grid< T, N >
using	grid4 = Grid< T, N+1 >
using	panel_type = Ship_hull_panel< T, N >
using	panel_array = std::vector< panel_type >
using	wave_type = Linear_wave< T, N >
using	wave_array = std::vector< wave_type >
using	ship_type = Ship< T >
using	C = std::complex< T >

Public Member Functions
T	depth () const
	Water depth.
void	depth (T rhs)
const wave_array &	waves () const
void	waves (wave_array &&rhs)
void	waves (const wave_array &rhs)
bool	diffraction () const
	Calculate diffraction forces? More...
void	diffraction (bool rhs)
bool	radiation () const
	Calculate radiation forces? More...
void	radiation (bool rhs)
bool	waterline_only () const
	Calculate radiation/diffraction using waterline only? More...
void	waterline_only (bool rhs)
bool	clip () const
	Clamp grid to panels?
void	clip (bool rhs)
virtual void	compute_positions (const ship_type &ship, const panel_array &panels, const grid3 &grid_txy, vertex_field_3d &surface)=0
	Fluid motion without diffraction/radiation. More...
virtual void	compute_forces (const ship_type &ship, const grid4 &grid_tzxy, panel_array &wetted_panels)=0
	Compute Froude—Krylov force acting on each panel. More...
const vertex_field_3d &	velocity () const
const scalar_field_3d &	potential () const
const grid3 &	velocity_grid () const
	Gerstner_solver (const Gerstner_solver &)=default
Gerstner_solver &	operator= (const Gerstner_solver &)=default
	Gerstner_solver (Gerstner_solver &&)=default
Gerstner_solver &	operator= (Gerstner_solver &&)=default

Protected Attributes
T	_depth = std::numeric_limits<T>::infinity()
wave_array	_waves {{Amplitude<T>(1),Length<T>(40),Direction<T>(0)}}
vertex_field_3d	_velocity
scalar_field_3d	_potential
grid3	_velocity_grid_zxy
panel_array	_old_panels
T	_old_t {}
bool	_diffraction = false
bool	_radiation = false
bool	_waterline_only = true
bool	_clip = true

Detailed Description

template<class T, int N>
class vtb::core::Gerstner_solver< T, N >

Trochoidal irrotational waves solves named after Gerstner.

Date

2019-04-29

Author

Ivan Gankevich

Ivan Petriakov

• Waves are irrotational, inviscid and incompressible.
• Based on the first-order solution to equation of motion and equation of continuity, obtained by Gerstner two centuries ago.
• Computes wavy surface, velocity field and pressure.

Definition at line 31 of file gerstner.hh.

Member Function Documentation

compute_forces()

template<class T, int N>

virtual void vtb::core::Gerstner_solver< T, N >::compute_forces ( const ship_type &  ship, const grid4 &  grid_tzxy, panel_array &  wetted_panels  )

pure virtual

Compute Froude—Krylov force acting on each panel.

Parameters

[in,out]

wetted_panels

underwater panels

As a side effect, computes velocity potential and velocity fields on and under the wave surface.

compute_positions()

template<class T, int N>

virtual void vtb::core::Gerstner_solver< T, N >::compute_positions ( const ship_type &  ship, const panel_array &  panels, const grid3 &  grid_txy, vertex_field_3d &  surface  )

pure virtual

Fluid motion without diffraction/radiation.

Parameters

[in]	panels	ship hull faces
[in,out]	surface	fluid particle position field \((t,x,y)\).

Calculates positions of fluid particles on the wave surface surface.

diffraction()

template<class T, int N>

bool vtb::core::Gerstner_solver< T, N >::diffraction ( ) const

inline

Calculate diffraction forces?

The effect of the fluid particles hitting the rigid body.

Definition at line 72 of file gerstner.hh.

radiation()

template<class T, int N>

bool vtb::core::Gerstner_solver< T, N >::radiation ( ) const

inline

Calculate radiation forces?

The effect of an oscillating rigid body on the still fluid.

Definition at line 77 of file gerstner.hh.

waterline_only()

template<class T, int N>

bool vtb::core::Gerstner_solver< T, N >::waterline_only ( ) const

inline

Calculate radiation/diffraction using waterline only?

Using waterline only is much faster than using all underwater panels.

Definition at line 82 of file gerstner.hh.