Introduction

This repository contains some classic or practical advection schemes for demonstrating them to the first year graduates:

• FTCS (Forward-in-time, centered-in-space)
• Upwind
• Beam-Warming
• Lax-Wendroff
• Fromm
• Leap-frog
• Crank-Nicolson
• TSPAS
• MPDATA
• WENO
• FFSL
• Semi-Lagrangian

You can download it, and run each schemes by:

$ cd <repository directory>
$ mkdir build
$ cd build
$ cmake ..
$ make
$ cd upwind
$ ./upwind_adv_1d_case.exe
$ ncl ../../tools/plot_adv_1d.ncl scheme=\"upwind\"

Software dependencies

• Fortran compiler (I use gfortran)
• NetCDF library (for outputting data)
• GSL library (optional for tridiagonal matrix solver)
• CMake (for generating Makefile)
• NCL (for plotting)

If you encounter difficulties to fulfill the requirement, you may use Docker image which we have created by:

$ docker pull dongli/iap-cgfd-adv-cases:0.0.2
$ docker run -it dongli/iap-cgfd-adv-cases:0.0.2

TODO list

Next I would like to do the following things:

• Add 2D upwind, Lax-Wendroff scheme cases
• Extend TSPAS to 2D and include cross terms

Authors

• Li Dong [email protected]