Base class for linear velocity potential solver. More...

Inheritance diagram for vtb::core::Linear_velocity_potential_solver_base< T >:

Collaboration diagram for vtb::core::Linear_velocity_potential_solver_base< T >:

Public Member Functions
void	second_function (const Grid< T, 4 > &grid_tzxy, const Array3< T > &wavy_surface, Array3< C > &result)
	Computes second function. More...

Public Member Functions inherited from vtb::core::Velocity_potential_solver< T, 3 >
T	depth () const noexcept
	Get water depth.

void	depth (T rhs)
	Set water depth.

void	wave_number_grid (const Grid< T, 2 > &rhs)

const Grid< T, 2 > &	wave_number_grid () const

void	assumptions (Assumptions rhs)

const Assumptions &	assumptions () const

virtual void	solve (const Grid< T, N+1 > &grid_tzxy, const Array< T, N > &wavy_surface, Array< T, N+1 > &velocity_potential)=0
	Calculate velocity potential for each grid point. More...

void	operator() (const Grid< T, 4 > &grid_tzxy, const Array< T, 3 > &wavy_surface, Array< T, 4 > &velocity_potential)

Detailed Description

Base class for linear velocity potential solver.

Definition at line 107 of file velocity_potential.hh.

Member Function Documentation

template<class T >

void vtb::core::Linear_velocity_potential_solver_base< T >::second_function	(	const Grid< T, 4 > &	grid_tzxy,
		const Array3< T > &	wavy_surface,
		Array3< C > &	result
	)

Computes second function.

For large-amplitude waves the second function is computed as
\[ \mathcal{S}(x,y,t) = \frac{\zeta_t(x,y,t)}{ i \left( \left(\zeta_x + \zeta_y\right)/s - \zeta_x - \zeta_y \right) - 1/s }, \]
where \(s=\sqrt{1 + \zeta_x^2 + \zeta_y^2}\).
For small-amplitude waves the second function is computed as
\[ \mathcal{S}(x,y,t) = -\zeta_t(x,y,t). \]

Definition at line 12 of file velocity_potential.cc.