A Second-Order Accurate Implicit Scheme for Strongly Coupled Fluid Equations Applied to Fluid Electron Turbulence in a Magnetised Plasma
✍ Scribed by Bruce D. Scott
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 431 KB
- Volume
- 124
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
where , n, and T are the dependent variables, the Ͱ's are coupling operators which are in general variable, the S's A computational method for treating fluid-type turbulence with strongly coupled equations is outlined and tested. Applied to drift are arbitrary forcing terms, and the system is defined on wave turbulence in a magnetised plasma, it is generalisable to other a two-dimensional Cartesian grid, (x, y). It is not always systems. Coupling operators are treated with the second-order accutrue that both dimensions involved in ٌ 2 can be Fourier rate scheme DIRK2, in which only values at the current time step transformed away; indeed, in the case described below only are needed to advance the system. Turbulent advection, small-scale the y-direction is transformed, and the Ͱ's are specified dissipation, and weak forcing terms are split apart and treated independently, so that the overall scheme is still first order. Neverthe-functions of x and the Fourier mode index for the y-coordiless, the part that is not second order is that which needs to be nate. The matrix of the Ͱ's is not, in general, definite and resolved in any case. Strict convergence and error testing shows may be singular.
the new scheme to outperform the implicit one previously used
The difficulty in this system is apparent when these Ͱ's with drift wave turbulence by a significant margin. ᮊ 1996 Academic are rapidly varying, since the Laplacian operator in Eq. Press, Inc.
(1) couples the regions in x which are characterised by weak and strong coupling. It is important not to let this 71