Viscous Forces Due To Collisional Parallel Stresses For Extended MHD Codes
Viscous Forces Due To Collisional Parallel Stresses For Extended MHD Codes
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扩展 MHD 代码的碰撞平行应力产生的粘性力
DOI：
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发表时间：
2010
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通讯作者：
J. Callen
中科院分区：
文献类型：
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作者：
J. Callen
本文给出了非均匀磁化等离子体中由碰撞引起的平行粘性应力引起的各种形式的粘性力。提出了新的形式的初始值扩展MHD代码捕获的“快速”（Braginskii）碰撞粘性力的影响，在短时间尺度和多碰撞制度的“残余”粘性力的碰撞时间尺度和更长的轴对称环形等离子体。基于碰撞的粘滞系数在各种碰撞状态下描述：高（Braginskii，Pfirsch-Schlüter），中间（平台）和低（香蕉）。光滑公式的电子和离子的平行应力引起的碰撞和更长的时间尺度，包括所有这些碰撞制度的剩余粘性力。此外，广义欧姆定律，包括快速Braginskii型粘性效应和缓慢的剩余效应，导致新古典平行欧姆定律的建议。最后，提出了在扩展的MHD程序中实现和验证粘性力效应的建议。电子邮件：callen@engr.wisc.edu; http://www.cae.wisc.edu/~callen
Various forms of the viscous force caused by collision-induced parallel viscous stresses within an inhomogeneous magnetized plasma are presented. New forms are proposed for initial value extended MHD codes to capture the “fast” (Braginskii) collisional viscous force effects on short time scales and multi-collisionality regime “residual” viscous forces on collision time scales and longer in axisymmetric toroidal plasmas. Collision-based viscosity coefficients are described in various collisionality regimes: high (Braginskii, Pfirsch-Schlüter), intermediate (plateau) and low (banana). Smoothed formulas for the residual viscous forces induced by electron and ion parallel stresses on the collision and longer time scales that encompass all these collisionality regimes are presented. Also, a generalized Ohm’s law that includes both the fast Braginskii-type viscous effects and the slow residual effects that lead to the neoclassical parallel Ohm’s law is proposed. Finally, suggestions are made for implementing and verifying viscous force effects in extended MHD codes. ∗callen@engr.wisc.edu; http://www.cae.wisc.edu/~callen