Electromagnetic particle-in-cell (PIC) codes are widely used to perform computer simulations of a variety of physical systems, including fusion plasmas, astrophysical plasmas, plasma wakefield particle accelerators, and secondary photon sources driven by ultra-intense lasers.
Edoardo Zoni +7 more
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A nodal triangle-based spectral element method for the shallow water equations on the sphere
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Giraldo, F.X., Warburton, T.
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Quasi-3-D spectral wavelet method for a thermal quench simulation
The finite element method is widely used in simulations of various fields. However, when considering domains whose extent differs strongly in different spatial directions a finite element simulation becomes computationally very expensive due to the large
Jonas Bundschuh +2 more
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Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier–Stokes Equations [PDF]
Discontinuous Galerkin (DG) methods have a long history in computational physics and engineering to approximate solutions of partial differential equations due to their high-order accuracy and geometric flexibility. However, DG is not perfect and there remain some issues. Concerning robustness, DG has undergone an extensive transformation over the past
Winters, Andrew Ross +3 more
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Stability of Overintegration Methods for Nodal Discontinuous Galerkin Spectral Element Methods [PDF]
We perform stability analyses for discontinuous Galerkin spectral element approximations of linear variable coefficient hyperbolic systems in three dimensional domains with curved elements. Although high order, the precision of the quadratures used are typically too low with respect to polynomial order associated with their arguments, which introduces ...
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This paper concerns a multi-physical modeling framework based on the spectral element method (SEM) for axisymmetric wireless power transfer systems. The modeling framework consists of an electromagnetic and a thermal model.
Koen Bastiaens +2 more
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Collapse of superconductivity in cuprates via ultrafast quenching of phase coherence [PDF]
The possibility of driving phase transitions in low-density condensates through the loss of phase coherence alone has far-reaching implications for the study of quantum phases of matter.
Boschini, F. +18 more
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A high-order staggered finite-element vertical discretization for non-hydrostatic atmospheric models [PDF]
Atmospheric modeling systems require economical methods to solve the non-hydrostatic Euler equations. Two major differences between hydrostatic models and a full non-hydrostatic description lies in the vertical velocity tendency and numerical stiffness ...
J. E. Guerra, P. A. Ullrich
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Analysis of Acoustic–Magnetic Fields Induced by Underwater Pressure Wave in a Finite-Depth Ocean
As underwater disturbances (natural or artificial) occur in the ocean, moving seawater crossing the geomagnetic fields will produce weak circular currents.
Yuanguo Zhou +5 more
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Inverse nodal problem for p−Laplacian Bessel equation with polynomially dependent spectral parameter
In this study, solution of inverse nodal problem for p−Laplacian Bessel equation is extended to the case that boundary condition depends on polynomial eigenparameter.
Yilmaz Emrah +2 more
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