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2 layers QG model with stochastic forcing

This project incudes the implementation of a numerical model solving the 2-layer Quasi-Geostrophic (QG) model with stochastic forcing as described in this paper. For details on the model and its numerical discretization/implementation please see the aforementioned paper.

Usage

This repository includes three main files: QG_det.f90, QG_sto.f90 and QG_sto_DMDpropagation.f90. All of them make use of the FFTW module (which is not provided here but can be easily found at www.fftw.org), hence be sure to link it correctly. QG_sto.f90 and QG_sto_DMDpropagation.f90 require also the LAPACK library.

QG_det.f90 corresponds to the discretization of the deterministic 2-layer QG model, hence it does not include any stochastic forcing.

QG_det.f90 requires to be linked to the modules/subroutines: AJ4.f90, EnergyOutput.f90, IO_restart.f90 and Spectra.f90.

QG_sto.f90 includes the stochastic forcing but does not allow for the propagation of the DMD modes. QG_sto_DMDpropagation.f90 includes the stochastic forcing and allows for the propagation of the DMD modes. Both QG_sto.f90 and QG_sto_DMDpropagation.f90 recovers the results of QG_det.f90 when the stochastic forcing is set to zero, but have higher computational times.

Both QG_sto.f90 and QG_sto_DMDpropagation.f90 require to be linked to the modules/subroutines: AJ4.f90, BoxMuller.f90, DMD.f90, EnergyOutput.f90, IO_restart.f90, mtfort.f90, NoiseStructure.f90, Projection.f90 and Spectra.f90.

Project status

The development of the project has been currently slowed down. If interested in maintainig actively this project, feel free to get in contact with me: federica.gugole@uni-hamburg.de

Contributing

Pull requests are welcome. For major changes, please open an issue first to discuss what you would like to change.

License

MIT

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Deterministic and stochastic (projector operator stochastic parameterization) 2-layer QG model

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