libmpdata++

"A library of parallel forward-in-time solvers for systems of generalised transport equations. The solvers belong to the Multidimensional Positive Definite Advection Transport Algorithm (MPDATA) family of numerical schemes.

"The library offers basic numerical solvers for systems of generalised transport equations. The solvers are forward-in-time, conservative and non-linearly stable. The libmpdata++ library covers the basic second-order-accurate formulation of MPDATA, its third-order variant, the infinite-gauge option for variable-sign fields and a flux-corrected transport extension to guarantee non-oscillatory solutions. The library is equipped with a non-symmetric variational elliptic solver for implicit evaluation of pressure gradient terms. All solvers offer parallelisation through domain decomposition using shared-memory parallelisation.

The paper describes the library programming interface, and serves as a user guide. Supported options are illustrated with benchmarks discussed in the MPDATA literature. Benchmark descriptions include code snippets as well as quantitative representations of simulation results. Examples of applications include: homogeneous transport in one, two and three dimensions in Cartesian and spherical domains; shallow-water system compared with analytical solution (originally derived for a 2D case); and a buoyant convection problem in an incompressible Boussinesq fluid with interfacial instability. All the examples are implemented out of the library tree. Regardless of the differences in the problem dimensionality, right-hand-side terms, boundary conditions and parallelisation approach, all the examples use the same unmodified library, which is a key goal of libmpdata++ design. The libmpdata++ library is implemented in C++, making use of the Blitz++ multi-dimensioanl array containers, and is released as free/libre and open-source software."

http://libmpdataxx.igf.fuw.edu.pl/

https://github.com/igfuw/libmpdataxx

https://github.com/igfuw/libcloudphxx

https://arxiv.org/abs/1407.1309

http://content.iospress.com/articles/scientific-programming/spr379

http://foss.igf.fuw.edu.pl/workshop_2015/talks/Jaruga.pdf