Addressing students and researchers as well as Computational Fluid Dynamics practitioners, this book is the most comprehensive review of high-resolution schemes based on the principle of Flux-Corrected Transport (FCT). The foreword by J.P. Boris and historical note by D.L. Book describe the development of the classical FCT methodology for convection-dominated transport problems, while the design philosophy behind modern FCT schemes is explained by S.T. Zalesak. The subsequent chapters present various improvements and generalizations proposed over the past three decades. In this new edition, recent results are integrated into existing chapters in order to describe significant advances since the publication of the first edition. Also, 3 new chapters were added in order to cover the following topics: algebraic flux correction for finite elements, iterative and linearized FCT schemes, TVD-like flux limiters, acceleration of explicit and implicit solvers, mesh adaptation, failsafe limiting for systems of conservation laws, flux-corrected interpolation (remapping), positivity preservation in RANS turbulence models, and the use of FCT as an implicit subgrid scale model for large eddy simulations.

The idea for this book originated from an International Conference on Mag netic Structures in Superconductors organized by John R. Clem and the author at Argonne National Laboratory (ANL) in September of 1973. Large parts of the book evolved from lectures given to graduate students at the University of TUbingen during the past three years. It is the purpose of this book to provide an introduction to the many features of magnetic flux structures in superconductors and to discuss the this field. Here, in addition to the static proper recent developments in ties of magnetic flux structures, the time-dependent phenomena represent an important subject including flux flow and the transport effects in supercon ductors. Throughout the book the emphasis is placed on the physical phenom ena and the experimental results. We do not attempt a general introduction to superconductivity. Except for a brief discussion of the Ginzburg-Landau theory, with respect to the theoretical developments we only give an outline and refer to the original papers or other reviews for the detail of the calculations. The book is intended for researchers and graduate students interested in the subject of magnetic flux structures in superconductors. It may serve as supplementary material for a graduate course on low-temperature solid state physics. During recent years technological applications of supercon ducting materials are becoming increasingly important. Here the static and dynamic behavior of magnetic flux structures playa distinguished role. The book may be helpful for people envolved in these engineering aspects of superconductivity.

Proceedings of the NATO Advanced Study Institute, Kusadasi, Turkey, July 26-August 8, 1998

The book covers the flux pinning mechanisms and properties and the electromagnetic phenomena caused by the flux pinning common for metallic, high-Tc and MgB2 superconductors. The condensation energy interaction known for normal precipitates or grain boundaries and the kinetic energy interaction proposed for artificial Nb pins in Nb-Ti, etc. are introduced for the pinning mechanism. Summation theories to derive the critical current density are discussed in detail. Irreversible magnetization and AC loss caused by the flux pinning are also discussed. The loss originally stems from the ohmic dissipation of normal electrons in the normal core driven by the electric field induced by the flux motion. The readers will learn why the resultant loss is of hysteresis type in spite of such mechanism. The influence of the flux pinning on the vortex phase diagram in high Tc superconductors is discussed and the dependencies of the irreversibility field are also described on other quantities such as anisotropy of superconductor, specimen size and electric field strength. Recent developments of critical current properties in various high-Tc superconductors and MgB2 are introduced. Other topics are: singularity in the case of transport current in a parallel magnetic field such as deviation from the Josephson relation, reversible flux motion inside pinning potentials which causes deviation from the critical state model prediction, the concept of the minimization of energy dissipation in the flux pinning phenomena which gives the basis for the critical state model, etc. Significant reduction in the AC loss in AC wires with very fine filaments originates from the reversible flux motion which is dominant in the two-dimensional pinning. The concept of minimum energy dissipation explains also the behavior of flux bundle size which determines the irreversibility line under the flux creep. The new edition has been thoroughly updated, with new sections on the progress in enhancing the critical current density in high temperature superconductors by introduction of artificial pinning centers, the effect of packing density on the critical current density and irreversibility field in MgB2 and derivation of the force-balance equation from the minimization of the free energy including the pinning energy.

Time-integrated solar ratio fluxes and their association with satellite observed solar energetic proton flux increases have been studied. The time-integration was only of the U-portion of the radio burst flux increase. The best correlations between the integrated radio fluxes and the proton peak fluxes were realized when the radio fluxes were multiplied by the factor exp (-3B), where B is the angular distance, in radians, between the site of the flare and the solar footpoint of the magnetic field connection between the sun and the earth. The solar footpoint positions were determined from the solar wind speed. Two-variate linear regressions were computed using the time-integrated radio fluxes at five discrete radio frequencies in the 606 to 8800 MHz frequency interval and peak proton fluxes at > 10 MeV and > 30 MeV. The higher frequencies of 2695, 4995 and 8800 MHz all correlated better with the > 10 -MeV protons than the lower frequencies. The > 30-MeV protons were even better correlated with the higher frequencies, but correlation with the lower frequencies were poorer. The Total Energy Density, E sub T, of the radio burst, an integration across the frequency interval of the time-integrated radio fluxes at each frequency, was found to be better correlated with the proton fluxes than any of the individual frequencies.

The integrated fast flux distribution in the L-41 hole of the Materials Testing Reactor was determined for neutrons with energies between two and seven Mev by using a fast flux monitor, S32 (n, p) P32. It was possible to correlate these values of integrated fast-flux with changes in electrical resistivity of crystal bar zirconium and a 2.5 percent tin-crystal bar zirconium alloy.