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Multi-Moment Advection Scheme for Vlasov Simulations

机译:VLASOV模拟的多立体平进制计划

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We present a new numerical scheme for solving the advection equation and its application to the Vlasov simulation. The scheme treats not only point values of a profile but also its zeroth to second order piecewise moments as dependent variables, and advances them on the basis of their governing equations. We have developed one- and two-dimensional schemes and show that they provide quite accurate solutions compared to other existing schemes with the same memory usage. The two-dimensional scheme can solve the solid body rotation problem of a gaussian profile with little numerical diffusion. This is a very important property for Vlasov simulations of magnetized plasma. The application of the scheme to the electromagnetic Vlasov simulation of collisionless shock waves is presented as a benchmark test.
机译:我们提出了一种解决平流方程的新数值方案及其在vlasov模拟中的应用。该方案不仅处理配置文件的点值,而且将其零的分段矩作为依赖变量分段,并基于其管理方程式前进。我们开发了一个和二维方案,并表明他们提供了与具有相同内存使用情况的其他方案相比的相当准确的解决方案。二维方案可以解决高斯型材的实体旋转问题,具有几乎没有数值扩散。这是磁化等离子体的Vlasov模拟的非常重要的财产。将方案应用于碰撞冲击波的电磁Vlasov模拟作为基准测试。

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