11,437 research outputs found

    A Uniform Algorithm for All-Speed Shock-Capturing Schemes

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    There are many ideas for developing shock-capturing schemes and their extension for all-speed flow. The representatives of them are Roe, HLL and AUSM families. In this paper, a uniform algorithm is proposed, which expresses three families in the same framework. The algorithm has explicit physical meaning, provides a new angel of understanding and comparing the mechanism of schemes, and may play a great role in the further research. As an example of applying the uniform algorithm, the low-Mach number behaviour of the schemes is analyzed. Then, a very clear and simple explanation is given based on the wall boundary, and a concise rule is proposed to judge whether a scheme has satisfied low-Mach number behaviour

    The Location of Critical Reliability Slip Surface in Soil Slope Stability Analysis

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    AbstractThis study aims to find the difference between the slip surface having minimum factor of safety(called critical slip surface in deterministic analysis of slopes) and the slip surface having minimum reliability index(called critical reliability slip surface). The performance function used in reliability analysis was formulated by unbalanced thrust force method and the value of reliability index regarding given potential slip surface was obtained by Rosenbleuth method. The harmony search algorithm was adopted to alter the potential slip surface in order to locate the critical reliability slip surface. One complicated soil slope was analyzed and the results have shown that the critical slip surface is considerably different from critical reliability slip surface for multi-layer slopes and the reliability index of critical slip surface is larger than that of critical reliability slip surface

    The Oblique Corrections from Heavy Scalars in Irreducible Representations

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    The contributions to SS, TT, and UU from heavy scalars in any irreducible representation of the electroweak gauge group SU(2)LĂ—U(1)YSU(2)_L\times U(1)_Y are obtained. We find that in the case of a heavy scalar doublet there is a slight difference between the SS parameter we have obtained and that in previous works.Comment: 6 pages, 2 axodraw figures; minor changes, references update
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