9 research outputs found

    A Monolithic Finite Element Formulation for Magnetohydrodynamics Involving a Compressible Fluid

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    This work develops a new monolithic finite-element-based strategy for Magnetohydrodynamics (MHD) involving a compressible fluid based on a continuous velocity-pressure formulation. The entire formula- tion is within a nodal finite element framework, and is directly in terms of physical variables. The exact linearization of the variational formulation ensures a quadratic rate of convergence in the vicinity of the solution. Both steady-state and transient formulations are presented for two- and three-dimensional flows. Several benchmark problems are presented, and comparisons are carried out against analytical solutions, experimental data, or against other numerical schemes for MHD. We show a good coarse-mesh accuracy and robustness of the proposed strategy, even at high Hartmann numbers

    A Monolithic Finite Element Formulation for Magnetohydrodynamics Involving a Compressible Fluid

    No full text
    This work develops a new monolithic finite-element-based strategy for magnetohydrodynamics (MHD) involving a compressible fluid based on a continuous velocity–pressure formulation. The entire formulation is within a nodal finite element framework, and is directly in terms of physical variables. The exact linearization of the variational formulation ensures a quadratic rate of convergence in the vicinity of the solution. Both steady-state and transient formulations are presented for two- and three-dimensional flows. Several benchmark problems are presented, and comparisons are carried out against analytical solutions, experimental data, or against other numerical schemes for MHD. We show a good coarse-mesh accuracy and robustness of the proposed strategy, even at high Hartmann numbers

    Statistics-tuned phases of pseudofermions in one dimension

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    We show that a quadratic system of pseudofermions, with tunable fractionalized statistics, can host a rich phase diagram on a one-dimensional chain with nearest- and next-nearest-neighbor hopping. Using a combination of numerical and analytical techniques, we show that by varying the statistical angle and the ratio of the hopping, the system stabilizes two Tomonaga-Luttinger liquids (TLL) with central charges c = 1 and 2, respectively, along with the inversion symmetry broken bond-ordered (BO) insulating phase. Interestingly, the two quantum phase transitions in the system, (1) between the two TLLs and (2) the c = 1 TLL and BO phase, can be engendered by solely tuning the statistics of the pseudofermions. Our analysis shows that both these transitions are continuous and novel with the former lacking a local order-parameter based description and the latter of Berezinskii-Kosterlitz-Thouless type. These phases and phase transitions can be of direct experimental relevance in the context of recent studies of fermionic cold atoms

    Flow-level state transition as a new switch primitive for sdn

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    In software-defined networking, the controller installs flow-based rules at switches either proactively or reactively. The reactive ap-proach allows controller applications to make dynamic decisions about incoming traffic, but performs worse than the proactive one due to the controller involvement. To support dynamic applications with better performance, we propose FAST (Flow-level State Tran-sitions) as a new switch primitive for software-defined networks. With FAST, the controller simply preinstalls a state machine and switches can automatically record flow state transitions by match-ing incoming packets to installed filters. FAST can support a vari-ety of dynamic applications, and can be readily implemented with today’s commodity switch components and software switches

    Diction Analysis in Adiga\u27s Between the Assassinations: A Socio-linguistic Inspection of Selected Stories

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    The effectiveness of any statement hinges on the adept utilization of language by the speaker. When an author selects the appropriate vocabulary, it not only conveys the precise meaning but also encapsulates the speaker\u27s intended mood. The choice of words is a powerful tool that goes beyond mere communication; it serves as a reflection of the speaker\u27s social standing, educational background, ethnic values, and the broader societal context to which they belong, i.e., their speech community. Aravind Adiga adeptly employs socio-linguistic principles in his stories to establish a profound connection with the reader. Adiga deliberately tailors the manner of speaking characters use in their daily lives; from diverse societal backgrounds, professions, educational levels, and ethnic values. This research article delves into the nuances of Adiga\u27s narrative techniques, particularly in the selected stories from his short story collection novel \u27Between the Assassinations,\u27 aiming to discern the conscious choices he makes in portraying the characters\u27 linguistic expressions. The novel unfolds with characters embodying the struggles and emotions of those facing challenging circumstances or predominantly stemming from the lower echelons of society. Consequently, their communication styles are imbued with colloquialisms and vernacular, serving as a poignant mirror reflecting the harsh realities of life

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