LEoPart: a particle library for FEniCS
LEoPart: a particle library for FEniCS
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DOI：
10.1016/j.camwa.2020.04.023
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发表时间：
2019-12
期刊：
影响因子：
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通讯作者：
J. Maljaars;C. Richardson;N. Sime
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文献类型：
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作者：
J. Maljaars;C. Richardson;N. Sime
本文介绍了LEoPart，这是开源有限元软件库FEniCS的一个附加组件，用于无缝集成拉格朗日粒子功能和（欧拉）网格有限元（FE）方法。LEoPart——这是如此之多，以至于说：“拉格朗日-欧拉粒子”——包含了在简单网格上高效、准确和可扩展的拉格朗日粒子平流的工具。此外，leopart.com还附带了几个投影算子，用于在分散的粒子和网格之间交换信息，反之亦然。这些投影算子基于变分框架，允许扩展到高阶精度。特别是，通过实现专用的pde约束粒子网格投影算子，leopart提供了无扩散平流的所有工具，同时实现了最佳收敛并确保了底层网格上投影粒子数量的守恒。一系列的数值例子是被动和主动示踪方法的原型，突出了LEoPart中不同工具的特性和并行性能。最后，确定了未来的发展。LEoPartis的源代码得到了积极维护，并在开源许可下可在https://bitbucket.org/jakob_maljaars/leopart获得。
This paper introduces LEoPart, an add-on for the open-source finite element software library FEniCS to seamlessly integrate Lagrangian particle functionality with (Eulerian) mesh-based finite element (FE) approaches. LEoPart- which is so much as to say: ‘Lagrangian–Eulerian on Particles’ - contains tools for efficient, accurate and scalable advection of Lagrangian particles on simplicial meshes. In addition, LEoPartcomes with several projection operators for exchanging information between the scattered particles and the mesh andvice versa. These projection operators are based on a variational framework, which allows extension to high-order accuracy. In particular, by implementing a dedicated PDE-constrained particle–mesh projection operator, LEoPartprovides all the tools for diffusion-free advection, while simultaneously achieving optimal convergence and ensuring conservation of the projected particle quantities on the underlying mesh. A range of numerical examples that are prototypical to passive and active tracer methods highlight the properties and the parallel performance of the different tools in LEoPart. Lastly, future developments are identified. The source code for LEoPartis actively maintained and available under an open-source license at https://bitbucket.org/jakob_maljaars/leopart.