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arXiv · 1407.1309

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

Anna Jaruga·Sylwester Arabas·Dorota Jarecka·Hanna Pawlowska·Piotr K. Smolarkiewicz·Maciej Waruszewski
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Abstract

This paper accompanies first release of libmpdata++, a C++ library implementing the Multidimensional Positive-Definite Advection Transport Algorithm (MPDATA). 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.

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Anna Jaruga, Sylwester Arabas, Dorota Jarecka, Hanna Pawlowska, Piotr K. Smolarkiewicz, Maciej Waruszewski. 2014-08-18. libmpdata++ 0.1: a library of parallel MPDATA solvers for systems of generalised transport equations. https://arxiv.org/abs/1407.1309

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