Advanced Computational Infrastructures for Parallel and by Manish Parashar, Xiaolin Li, Sumir Chandra
By Manish Parashar, Xiaolin Li, Sumir Chandra
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5 The study of the motions of an electrically conducting ﬂuid in the presence of a magnetic ﬁeld. The motion of the ﬂuid gives rise to induced electric currents that interact with the magnetic ﬁeld, which in turn modiﬁes the motion. 2 13 Magnetohydrodynamics A true description of plasma motion must rely on kinetic equations for each plasma species. As this approach is too costly for simulation of full magnetic fusion devices, a ﬂuid description of the plasma is often used, which is obtained from taking velocity moments of the kinetic equations describing a plasma under certain closure assumptions (see Ref.
4) where θw and θn denote the saturation ﬁelds of water and NAPL, respectively. The NAPL saturation θn is the main target of solution, whereas the water saturation θw 34 Chapter 3 Parallel Computing Engines for Subsurface Imaging Technologies is also unknown in most practical cases. 4), Kn denotes the so-called partitioning coefﬁcient and D denotes a known dispersion tensor ﬁeld. 4), in comparison with the dispersion term ∇ · (θw D∇c). It should also be noted that tracer tomography is often carried out together with hydraulic tomography, because a detailed characterization of the hydraulic conductivity ﬁeld K(x) is vital for the accuracy of the computed θn ﬁeld, that is, the NAPL distribution.
We also acknowledge useful discussions with Dr. Stephen C. Jardin of PPPL and Dr. Paul Parks of General Atomics. REFERENCES 1. L. Baylor, et al. Improved core fueling with high ﬁeld pellet injection in the DIII-D tokamak. Phys. Plasmas, 7:1878–1885, 2000. 2. L. Baylor, et al. Comparison of fueling efﬁciency from different fueling locations on DIII-D. J. Nucl. , 313:530–533, 2003. 3. M. Berger and J. Oliger. Adaptive mesh reﬁnement for hyperbolic partial differential equations. J. Comput. , 53:484–512, 1984.