Laasonen Class Reference

Laasonen implicit method (Backward Euler in time + Central in space). Unconditionally stable for the 1D heat equation. More...

#include <laasonen.hpp>

Inheritance diagram for Laasonen:

Collaboration diagram for Laasonen:

Public Member Functions
std::string	name () const override
	Get human-readable name of the scheme.
void	step (const Grid &g, double D, double dt, const std::vector< double > &Tprev, const std::vector< double > &Tcurr, std::vector< double > &Tnext) const override
	Computes the temperature field at the next time step (T^{n+1}).
bool	uses_previous_step () const noexcept override
	Indicates if the scheme requires data from time step n-1.
Public Member Functions inherited from Method
virtual	~Method ()=default

Detailed Description

Laasonen implicit method (Backward Euler in time + Central in space). Unconditionally stable for the 1D heat equation.

Definition at line 11 of file laasonen.hpp.

Member Function Documentation

name()

std::string Laasonen::name ( ) const

inlineoverridevirtual

Get human-readable name of the scheme.

Implements Method.

Definition at line 14 of file laasonen.hpp.

step()

void Laasonen::step ( const Grid & g, double D, double dt, const std::vector< double > & Tprev, const std::vector< double > & Tcurr, std::vector< double > & Tnext ) const

overridevirtual

Computes the temperature field at the next time step (T^{n+1}).

Parameters

g	Grid metadata (spacing dx and node count Nx).
D	Thermal diffusivity [cm^2/h].
dt	Time step size [h].
Tprev	Temperature at time step n-1 (Read-only). Required only for 3-level schemes (Richardson, DuFort-Frankel). For 2-level schemes, this vector may be ignored.
Tcurr	Temperature at time step n (Read-only).
Tnext	Output vector to be filled with temperature at time step n+1.

Implements Method.

Definition at line 6 of file laasonen.cpp.

uses_previous_step()

bool Laasonen::uses_previous_step ( ) const

inlineoverridevirtualnoexcept

Indicates if the scheme requires data from time step n-1.

Returns

true For 3-level schemes (e.g., Richardson, DuFort-Frankel).

false For 2-level schemes (e.g., Laasonen, Crank-Nicolson).

Implements Method.

Definition at line 26 of file laasonen.hpp.

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The documentation for this class was generated from the following files:

• include/methods/laasonen.hpp
• src/methods/laasonen.cpp