论文标题

有限元和粒子底座之间的保守投影

Conservative Projection Between Finite Element and Particle Bases

论文作者

Pusztay, Joseph V., Knepley, Matthew G., Adams, Mark F.

论文摘要

粒子中的粒子(PIC)方法采用未知场的粒子表示,但也采用了连续元字段来解决问题的其他部分。因此,需要粒子和连续碱基之间的投影。此外,我们通常需要对此投影执行保护约束。我们得出了基于弱平等的执行机制,并在PETSC库中实现它。可伸缩性证明了超过1B颗粒。

Particle-in-Cell (PIC) methods employ particle representations of unknown fields, but also employ continuum fields for other parts of the problem. Thus projection between particle and continuum bases is required. Moreover, we often need to enforce conservation constraints on this projection. We derive a mechanism for enforcement based on weak equality, and implement it in the PETSc libraries. Scalability is demonstrated to more than 1B particles.

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