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Pellet driven disruptions in tokamaks. Phys. Plasmas, 7:250–257, 2000. 27. G. Toth. The ∇ · B = 0 constraint in shock-capturing magnetohydrodynamics codes. J. Comput. , 161:605–652, 2000. Chapter 3 Parallel Computing Engines for Subsurface Imaging Technologies Tian-Chyi J. Yeh, Xing Cai, Hans P. 1 INTRODUCTION Multiscale heterogeneity of geologic media is a rule rather than an exception. The knowledge of detailed spatial distributions of hydraulic properties is imperative to predict water and solute movement in the subsurface at high resolution (see Refs.

P. Parks and M. Rosenbluth. Equilibrium pellet and liquid jet shape under high ablation pressures. Phys. Plasmas, 5:1380–1386, 1998. 22. P. J. Turnbull. Effect of transonic flow in ablation cloud on lifetime of a solid hydrogen pellet in a plasma. Phys. Fluids, 21:1735–1741, 1978. 23. R. Reynolds, R. S. Woodward. A fully implicit numerical method for single-fluid resistive magnetohydrodynamics. J. Comput. , 219:144–162, 2006. References 27 24. R. Samtaney, P. J. F. C. Jardin. An adaptive mesh semi-implicit conservative unsplit method for resistive MHD.

Also called magnetohydrodynamic wave. 16 Chapter 2 Adaptive Mesh Refinement MHD Simulations of Tokamak Refueling (τa ≈ O (10−6 s)) and the motion along magnetic field lines on acoustic timescales (τs ≈ O (10−4 s)). Finally, the entire process last until the pellet has been completely ablated O (10−3 s). At present, the fast electron heating is handled by a semianalytical model described later, which leads to evaluating integrals of density along field lines. This poses technical challenges on hierarchical adaptive meshes.

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