Numerical study of one-dimensional compression in granular materials

Using one-dimensional Beji & Nadaoka extended Boussinesq equation, a numerical study of solitary waves over submerged breakwaters has been conducted. Two different obstacles of rectangular as well as circular geometries over the seabed inside a channel have been considered in view of solitary waves passing by. Since these bars possess sharp vertical edges, they cannot directly be modeled by Boussinesq equations. Thus, sharply sloped lines over a short span have replaced the vertical sides, and the interactions of waves including reflection, transmission, and dispersion over the seabed with circular and rectangular shapes during the propagation have been investigated. In this numerical simulation, finite element scheme has been used for spatial discretization. Linear elements along with linear interpolation functions have been utilized for velocity components and the water surface elevation. For time integration, a fourth-order Adams-Bashforth-Moulton predictor-corrector method has been applied. Results indicate that neglecting the vertical edges and ignoring the vortex shedding would have minimal effect on the propagating waves and reflected waves with weak nonlinearity.

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A numerical study of tropospheric photochemistry using a one-dimensional model

Journal of Geophysical Research Atmospheres ◽

10.1029/jc082i037p05897 ◽

1977 ◽

Vol 82 (37) ◽

pp. 5897-5906 ◽

Cited By ~ 102

Author(s):

Jack Fishman ◽

Paul J. Crutzen

Keyword(s):

Numerical Study ◽

Dimensional Model ◽

One Dimensional ◽

Tropospheric Photochemistry

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Numerical study of belt-pinch stability, using a one-dimensional finite-element code

Nuclear Fusion ◽

10.1088/0029-5515/16/2/016 ◽

1976 ◽

Vol 16 (2) ◽

pp. 337-339

Author(s):

F. Hofmann ◽

K. Appert ◽

R. Gruber

Keyword(s):

Finite Element ◽

Numerical Study ◽

Finite Element Code ◽

One Dimensional ◽

Dimensional Finite Element

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On the numerical study of thermohydrodynamics and biochemistry of inland water bodies

10.5194/egusphere-egu21-13335 ◽

2021 ◽

Author(s):

Daria Gladskikh ◽

Evgeny Mortikov ◽

Victor Stepanenko

Keyword(s):

Mixed Layer ◽

Numerical Study ◽

Three Dimensional ◽

Water Bodies ◽

Dimensional Model ◽

Three Dimensional Model ◽

One Dimensional ◽

Lake Model ◽

Upper Mixed Layer ◽

The One

The study of thermodynamic and biochemical processes of inland water objects using one- and three-dimensional RANS numerical models was carried out both for idealized water bodies and using measurements data. The need to take into account seiche oscillations to correctly reproduce the deepening of the upper mixed layer in one-dimensional (vertical) models is demonstrated. We considered the one-dimensional LAKE model [1] and the three-dimensional model [2, 3, 4] developed at the Research Computing Center of Moscow State University on the basis of a hydrodynamic code combining DNS/LES/RANS approaches for calculating geophysical turbulent flows. The three-dimensional model was supplemented by the equations for calculating biochemical substances by analogy with the one-dimensional biochemistry equations used in the LAKE model. The effect of mixing processes on the distribution of concentration of greenhouse gases, in particular, methane and oxygen, was studied.The work was supported by grants of the RF President&#8217;s Grant for Young Scientists (MK-1867.2020.5, MD-1850.2020.5) and by the RFBR (19-05-00249, 20-05-00776).&#160;1. Stepanenko V., Mammarella I., Ojala A., Miettinen H., Lykosov V., Timo V. LAKE 2.0: a model for temperature, methane, carbon dioxide and oxygen dynamics in lakes // Geoscientific Model Development. 2016. V. 9(5). P. 1977&#8211;2006. 2. Mortikov E.V., Glazunov A.V., Lykosov V.N. Numerical study of plane Couette flow: turbulence statistics and the structure of pressure-strain correlations // Russian Journal of Numerical Analysis and Mathematical Modelling. 2019. 34(2). P. 119-132. 3. Mortikov, E.V. Numerical simulation of the motion of an ice keel in stratified flow // Izv. Atmos. Ocean. Phys. 2016. V. 52. P. 108-115. 4. Gladskikh D.S., Stepanenko V.M., Mortikov E.V. On the influence of the horizontal dimensions of inland waters on the thickness of the upper mixed layer // Water Resourses. 2021.V. 45, 9 pages. (in press)&#160;

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Discrete-time quantum walks generated by aperiodic fractal sequence of space coin operators

International Journal of Modern Physics C ◽

10.1142/s0129183118500985 ◽

2018 ◽

Vol 29 (10) ◽

pp. 1850098 ◽

Cited By ~ 1

Author(s):

R. F. S. Andrade ◽

A. M. C. Souza

Keyword(s):

Wave Function ◽

Probability Distribution ◽

Discrete Time ◽

Numerical Study ◽

Entanglement Entropy ◽

Quantum Effects ◽

Quantum Walks ◽

Cantor Set ◽

One Dimensional ◽

Time Quantum

Properties of one-dimensional discrete-time quantum walks (DTQWs) are sensitive to the presence of inhomogeneities in the substrate, which can be generated by defining position-dependent coin operators. Deterministic aperiodic sequences of two or more symbols provide ideal environments where these properties can be explored in a controlled way. Based on an exhaustive numerical study, this work discusses a two-coin model resulting from the construction rules that lead to the usual fractal Cantor set. Although the fraction of the less frequent coin [Formula: see text] as the size of the chain is increased, it leaves peculiar properties in the walker dynamics. They are characterized by the wave function, from which results for the probability distribution and its variance, as well as the entanglement entropy, were obtained. A number of results for different choices of the two coins are presented. The entanglement entropy has shown to be very sensitive to uncovering subtle quantum effects present in the model.

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