A mathematical and numerical study of nonlinear waves arising in a one-dimensional model of a fluidized bed

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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Numerical Study of One-Dimensional Model of Blast Wave Propagation through Lungs

IFMBE Proceedings - 6th World Congress of Biomechanics (WCB 2010). August 1-6, 2010 Singapore ◽

10.1007/978-3-642-14515-5_185 ◽

2010 ◽

pp. 725-728

Author(s):

Anju Saini ◽

V. K. Katiyar ◽

Pratibha ◽

Devdatta

Keyword(s):

Wave Propagation ◽

Blast Wave ◽

Numerical Study ◽

Dimensional Model ◽

One Dimensional ◽

Blast Wave Propagation

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On the modeling of thermohydrodynamic and biogeochemical processes in the inland water objects

10.5194/egusphere-egu2020-10902 ◽

2020 ◽

Author(s):

Daria Gladskikh ◽

Evgeny Mortikov ◽

Victor Stepanenko

Keyword(s):

Carbon Dioxide ◽

Numerical Study ◽

Three Dimensional ◽

Measurement Data ◽

Dimensional Model ◽

Three Dimensional Model ◽

Inland Water ◽

One Dimensional ◽

Biochemical Processes ◽

Dimensional Models

Currently, one-dimensional and three-dimensional models are widely used to model thermohydrodynamic and biochemical processes in lakes and water r&#1077;reservoirs. One-dimensional models are highly computationally efficient and are used to parameterize land water bodies in climate models, however, when calculating large lakes and reservoirs with complex geometry, such models may incorrectly reproduce processes associated with horizontal heterogeneity. This becomes especially important for the prediction of water quality and euthrophication.A three-dimensional model of thermohydrodynamics and biochemistry of an inland water obect is presented, which is based on the hydrostatic RANS model [1-3], and the parameterization of biochemical processes is implemented by analogy with the scheme for calculating biochemistry in the one-dimensional LAKE model [4]. Thus, the three-dimensional model is supplemented by a description of the transport of substances such as oxygen (O2), carbon dioxide (CO2), methane (CH4), as well as phyto- and zooplankton. The effect of turbulent diffusion and large-scale water movements on the distribution of a methane concentration field is studied.To verify the calculation results, idealized numerical experiments and comparison with the measurement data on Lake Kuivaj&#228;rvi (Finland) were used.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 (18-05-00292, 18-35-00602, 20-05-00776).&#160; References: [1] Mortikov E.V. Numerical simulation of the motion of an ice keel in stratified flow // Izv. Atmos. Ocean. Phys. 2016. 52. P. 108-115. [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. V. 34, N 2. P. 119-132. [3] D.S. Gladskikh, V.M. Stepanenko, E.V. Mortikov, On the influence of the horizontal dimensions of inland waters on the thickness of the upper mixed layer. // Water Resourses. 2019. 18 pages. (submitted) [4] Victor Stepanenko, Ivan Mammarella, Anne Ojala, Heli Miettinen, Vasily Lykosov, and Vesala Timo. LAKE 2.0: a model for temperature, methane, carbon dioxide and oxygen dynamics in lakes. Geoscientific Model Development, 9(5): 1977&#8211;2006, 2016.

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One-Dimensional Nonlinear and Nonlocal Oscillations of Plasma in Solid Body

Solid State Phenomena ◽

10.4028/www.scientific.net/ssp.113.521 ◽

2006 ◽

Vol 113 ◽

pp. 521-525

Author(s):

Paulius Miškinis

Keyword(s):

Wave Front ◽

Solid Body ◽

Nonlinear Waves ◽

Traveling Wave ◽

Field Potential ◽

Electron Plasma ◽

Dimensional Model ◽

One Dimensional ◽

Velocity Amplitude

A simple one-dimensional model describing nonlinear and nonlocal oscillations of electron plasma is considered. Due to regard of the nonlocality of the field potential, it allows one to smooth down the peaks of nonlinear waves, to steep up the wave front, and to modify the velocity amplitude and phase of the traveling wave.

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