arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1507.01178physics.plasm-phphysics.comp-ph
收藏

基于特征线法的混合(动力-流体)模拟方案

Hybrid (kinetic-fluid) simulation scheme based on method of characteristics

N. Javaheri, S. Rahimi, H. Abbasi

摘要:

特征线法的某些特性与Vlasov模拟有关[H。Abbasi { \it等人},Phys. Rev. \textbf{84},036702(2011)]。这种Vlasov模拟方案可以是无递归的,只要在速度空间中随机设置初始相点。自然地,精细结构的较少滤波(由网格间距引起)是可能的,因为现在存在比网格间距更小的尺度,网格间距是两个相点之间的平均距离。它的插值格式形式简单,运算量小。在我们以前的报告中,最简单的模型(不动离子)被认为只是为了证明重要的特征。现在,一个混合模型的介绍,解决耦合Vlasov-Fluid-Poisson系统自洽。一个可能的应用程序的代码是研究的离子声(IA)孤子属性。为此,考虑了具有热电子和冷正离子的无碰撞等离子体。对于电子,无碰撞Vlasov方程是通过在相空间中遵循无碰撞相点轨迹来求解的,而离子则服从流体方程。假定了周期性边界条件。Vlasov方程的特征方程和流体方程均采用蛙跳梯形法求解。然而,为了获得蛙跳的第一半时间步长,采用欧拉-梯形方案。该格式方便地耦合了蛙跳法中的两个著名的网格。该模型的第一个测试是一个固定的IA孤子。捕获的电子被认为是和相关联的相空间空穴显示。然后作为非平稳测试,研究了局域化初始轮廓的IA孤子产生。守恒定律是另一个基准测试。

英文摘要:

Certain features of the method of characteristics are of considerable interest in relation with Vlasov simulation [H. Abbasi {\it et al}, Phys. Rev. E \textbf{84}, 036702 (2011)]. A Vlasov simulation scheme of this kind can be recurrence free providing initial phase points in velocity space are set randomly. Naturally, less filtering of fine-structures (arising from grid spacing) is possible as there is now a smaller scale than the grid spacing that is average distance between two phase points. Its interpolation scheme is very simple in form and carried out with less operations. In our previous report, the simplest model (immobile ions) was considered to merely demonstrate the important features. Now, a hybrid model is introduced that solves the coupled Vlasov-Fluid-Poisson system self-consistently. A possible application of the code is the study of ion-acoustic (IA) soliton attributes. To this end, a collisionless plasma with hot electrons and cold positive ions is considered. For electrons, the collisionless Vlasov equation is solved by following collisionless phase point trajectories in phase space while ions obey the fluid equations. The periodic boundary conditions are assumed. Both, the characteristic equations of the Vlasov equation and the fluid equations are solved using the Leapfrog-Trapezoidal method. However, to obtain the first half-time step of the Leapfrog, the Euler-Trapezoidal scheme, is employed. The presented scheme conveniently couples the two well-known grids in the Leapfrog method. The first test of the model is an stationary IA soliton. Trapping of electrons is considered and the associated phase space hole is shown. Then as a non-stationary test, the IA soliton generation from a localized initial profile is examined. Conservation laws are the other benchmark tests.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑