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This paper accompanies first release of libmpdata++, a C++ libraryimplementing the Multidimensional Positive-Definite Advection TransportAlgorithm (MPDATA). The library offers basic numerical solvers for systems ofgeneralised transport equations. The solvers are forward-in-time, conservativeand non-linearly stable. The libmpdata++ library covers the basicsecond-order-accurate formulation of MPDATA, its third-order variant, theinfinite-gauge option for variable-sign fields and a flux-corrected transportextension to guarantee non-oscillatory solutions. The library is equipped witha non-symmetric variational elliptic solver for implicit evaluation of pressuregradient terms. All solvers offer parallelisation through domain decompositionusing shared-memory parallelisation.  The paper describes the library programming interface, and serves as a userguide. Supported options are illustrated with benchmarks discussed in theMPDATA literature. Benchmark descriptions include code snippets as well asquantitative representations of simulation results. Examples of applicationsinclude: homogeneous transport in one, two and three dimensions in Cartesianand spherical domains; shallow-water system compared with analytical solution(originally derived for a 2D case); and a buoyant convection problem in anincompressible Boussinesq fluid with interfacial instability. All the examplesare implemented out of the library tree. Regardless of the differences in theproblem dimensionality, right-hand-side terms, boundary conditions andparallelisation approach, all the examples use the same unmodified library,which is a key goal of libmpdata++ design. The libmpdata++ library isimplemented in C++, making use of the Blitz++ multi-dimensioanl arraycontainers, and is released as free/libre and open-source software.

libmpdata++ 0.1: a library of parallel MPDATA solvers for systems of generalised transport equations