Module net.finmath.lib

Package net.finmath.climate.models.dice.submodels

Class EvolutionOfTemperature

java.lang.Object

net.finmath.climate.models.dice.submodels.EvolutionOfTemperature

All Implemented Interfaces:

TriFunction<Integer,Temperature2DScalar,Double,Temperature2DScalar>

public class EvolutionOfTemperature
extends Object
implements TriFunction<Integer,Temperature2DScalar,Double,Temperature2DScalar>

The evolution of the temperature \( \mathrm{d}T(t) = \left( \Gamma_{T} T(t) + \xi \cdot F(t) \right) \mathrm{d}t \). The unit of \( T \) is K (Kelvin). This is a function of timeIndex, previous temperature and forcing. The evolution is modelled as \( \mathrm{d}T(t) = \left( \Gamma_{T} T(t) + \xi \cdot F(t) \right) \mathrm{d}t \). With the given TimeDiscretization it is approximated via an Euler-step \( T(t_{i+1}) = \Phi T(t_{i}) + (forcingToTemp \cdot (forcing, 0) \cdot \Delta t_{i} \) where \( \Phi = (1 + \Gamma_{T} \Delta t_{i}) \).

Author:

Christian Fries

Constructor Summary

Constructors

Constructor	Description
EvolutionOfTemperature(TimeDiscretization timeDiscretization)
EvolutionOfTemperature(TimeDiscretization timeDiscretization, Function<Integer,double[][]> transitionMatrices, double forcingToTemp)

Method Summary

Modifier and Type	Method	Description
Temperature2DScalar	apply(Integer timeIndex, Temperature2DScalar temperature, Double forcing)
TimeDiscretization	getTimeDiscretization()

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

EvolutionOfTemperature

public EvolutionOfTemperature(TimeDiscretization timeDiscretization,
                              Function<Integer,double[][]> transitionMatrices,
                              double forcingToTemp)

Parameters:

timeDiscretization - The time discretization.

transitionMatrices - Transition matrix \( \Phi \) for each time step.

forcingToTemp - The scaling coefficient for the external forcing to temperature change per year (this is per 1Y).

EvolutionOfTemperature

public EvolutionOfTemperature(TimeDiscretization timeDiscretization)

Method Detail

apply

public Temperature2DScalar apply(Integer timeIndex,
                                 Temperature2DScalar temperature,
                                 Double forcing)

Specified by:

apply in interface TriFunction<Integer,Temperature2DScalar,Double,Temperature2DScalar>

getTimeDiscretization

public TimeDiscretization getTimeDiscretization()