scholarly journals Mathematical Modeling of Electrocardiograms: A Numerical Study

2009 ◽  
Vol 38 (3) ◽  
pp. 1071-1097 ◽  
Author(s):  
Muriel Boulakia ◽  
Serge Cazeau ◽  
Miguel A. Fernández ◽  
Jean-Frédéric Gerbeau ◽  
Nejib Zemzemi
Keyword(s):  
Mathematical Modeling ◽  
Numerical Study

scholarly journals The use of mathematical modeling methods for solving geo-ecological problems of sustainable development of regions

2020 ◽  
Vol 161 ◽  
pp. 01005
Author(s):  
M V Volik
Keyword(s):  
Mathematical Modeling ◽  
Air Pollution ◽  
Sustainable Development ◽  
Numerical Study ◽  
Digital Technologies ◽  
Motor Vehicles ◽  
Gaseous Pollutants ◽  
Mathematical Apparatus ◽  
Modeling Methods ◽  
Ecological Problems

Currently, a number of environmental problems have a significant impact on the stable economic development of the country. A global problem is the study of air pollution. The solution of such geoecological problems should be carried out with the use of modern mathematical apparatus and digital technologies. The paper presents the results of a numerical study of the distribution of gaseous pollutants emitted by motor vehicles in the pedestrian zone of streets. It is shown that the vortex structures formed in the studied city buildings development have a significant impact on the accumulation of anthropogenic impurities.

scholarly journals Diffusion–reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study

2020 ◽  
Vol 66 (5) ◽  
pp. 1131-1152 ◽  
Author(s):  
Alex Viguerie ◽  
Alessandro Veneziani ◽  
Guillermo Lorenzo ◽  
Davide Baroli ◽  
Nicole Aretz-Nellesen ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Continuum Mechanics ◽  
Mathematical Analysis ◽  
Numerical Study ◽  
Interdisciplinary Collaboration ◽  
Compartmental Models ◽  
Diffusion Reaction ◽  
Pde Model ◽  
Fundamental Equations ◽  
Detailed Derivation

Abstract The outbreak of COVID-19 in 2020 has led to a surge in interest in the research of the mathematical modeling of epidemics. Many of the introduced models are so-called compartmental models, in which the total quantities characterizing a certain system may be decomposed into two (or more) species that are distributed into two (or more) homogeneous units called compartments. We propose herein a formulation of compartmental models based on partial differential equations (PDEs) based on concepts familiar to continuum mechanics, interpreting such models in terms of fundamental equations of balance and compatibility, joined by a constitutive relation. We believe that such an interpretation may be useful to aid understanding and interdisciplinary collaboration. We then proceed to focus on a compartmental PDE model of COVID-19 within the newly-introduced framework, beginning with a detailed derivation and explanation. We then analyze the model mathematically, presenting several results concerning its stability and sensitivity to different parameters. We conclude with a series of numerical simulations to support our findings.

scholarly journals Molding of Polymeric Composite Reinforced with Glass Fiber and Ceramic Inserts: Mathematical Modeling and Simulation

2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Túlio R. N. Porto ◽  
Wanderley F. A. Júnior ◽  
Antonio G. B. De Lima ◽  
Wanderson M. P. B. De Lima ◽  
Hallyson G. G. M. Lima
Keyword(s):  
Mathematical Modeling ◽  
Composite Material ◽  
Numerical Study ◽  
Polymeric Composite ◽  
Resin Flow ◽  
Volumetric Fraction ◽  
Ansys Fluent ◽  
Composite Manufacturing ◽  
Filling Time ◽  
Stream Lines

This work provides a numerical study of a polymer composite manufacturing by using liquid composite material molding. Simulation of resin flow into a porous media comprising fiber perform (reinforcement) inserted in a mold with preallocated ceramic inserts has been performed, using the Ansys FLUENT® software. Results of resin volumetric fraction, stream lines and pressure distribution inside the mold, and mass flow rate (inlet and outlet gates) of the resin, as a function of filling time, have been presented and discussed. Results show that the number of inserts affects the filling time whereas the distance between them has no influence in a process.

scholarly journals A Short Review and the Prediction of Tumor Growth based on Numerical Analysis

2019 ◽  
pp. 1-10
Author(s):  
Zakir Hossine ◽  
Afrina Asad Meghla ◽  
Md. Kamrujjaman
Keyword(s):  
Mathematical Modeling ◽  
Tumor Growth ◽  
Growth Models ◽  
Numerical Study ◽  
Reaction Diffusion ◽  
Short Review ◽  
Cell Number ◽  
Reaction Diffusion Equation ◽  
Theoretical Approaches ◽  
Primary Model

In this study, we consider Murray’s and Glioma’s tumor growth models based on reaction- diffusion equation. Mathematical modeling of tumor development are involved with the associated experimental work, reasoning the final relationship between experimental and theoretical approaches and these lead a path to model the prediction of tumor growth. Initially, we study the primary model of tumor growth which is connected with the ordinary differential equations and finally extended the problem to reaction-diffusion models. We predict the  tumor growth model using numerical study and the observation in different zone of time. The goal of tumor growth prediction is to model the tumor growth process, which can be achieved by theoretical mathematical  modeling collaboration with the model personalization from clinical assessment. After certain time period, it is shown that the mathematical model shows the tumor cell population reaching a maximum cell number that the tissue can carry.

scholarly journals Modeling, Identification, and Simulation of Positional Displacement Control for Ribbon Bridges

2018 ◽  
Vol 159 ◽  
pp. 02026
Author(s):  
Van Trong Nguyen ◽  
Yong-Woon Choi ◽  
Jung-In Yoon ◽  
Kwang-Hwan Choi ◽  
Chang-Hyo Son ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Numerical Study ◽  
System Modeling ◽  
Linear Quadratic Regulator ◽  
Displacement Control ◽  
Linear Quadratic ◽  
Model Based Control ◽  
Yaw Control ◽  
Simulation Results ◽  
Control Designs

The demand of river-crossing is steadily increasing, the speedy and safety are two most important factors that decide the success of the applied solutions. This paper partially proposes a method for ribbon bridge installation and self-correction by describing the planar motion for a ribbon bridge, including several experimentally identified over a certain range of speeds. The mathematical modeling and system identification aim to provide a model that is sufficient for allowance of model-based control designs. In order to design the stable yaw control system of auto-correction of positional displacement, the Linear-Quadratic Regulator (LQR) was employed for yaw controller. Accordingly, the numerical study was carried out under a variety of disturbances to verify the system modeling and the efficiency of the designed controller. The simulation results demonstrate that the proposed controller has promising feasibility of the yaw placement automatic correct during operation and further extended results of the whole bridge system.

scholarly journals MATHEMATICAL MODELING AND NUMERICAL STUDY OF ATMOSPHERIC BOUNDARY LAYER NEAR WINDFARMS

2021 ◽  
Vol 3 (65) ◽  
pp. 33-40
Author(s):  
Vladislav N. Kovalnogov ◽  
◽  
Yuriy A. Khakhalev ◽  
Ekaterina V. Tsvetova ◽  
Larisa V. Khakhaleva ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Boundary Layer ◽  
Atmospheric Boundary Layer ◽  
Wind Turbines ◽  
High Performance ◽  
Wind Farm ◽  
Numerical Study ◽  
Wind Farms ◽  
Time Range ◽  
Winter Period

The article analyzes Russian and foreign sources relating to the interaction of wind turbines with the surface layers of the atmosphere. It specifies the main problems of mathematical modeling of the atmospheric boundary layer near the wind farms due to adverse meteorological conditions, in particular, constant zero crossings in the autumn-winter period, various precipitation, a wide time range, air parameters, terrain and other features. The authors analyze the evolution of mathematical models of turbulence to describe the boundary layer near wind turbines from earlier to rapidly developing and currently used. To achieve greater accuracy and naturalism, it is proposed to use high-performance efficient algorithms based on combining scales and physics of phenomena. The authors propose a mathematical model for studying the state of the atmospheric polydisperse boundary layer under conditions of the Ulyanovsk wind farm, taking into account the dispersed particles in the flow, surface curvature, pressure gradient and other influences.

scholarly journals Mathematical Modeling of Aluminum Reduction Cell MHD Stability

2020 ◽  
pp. 243-253
Author(s):  
Nadejda P. Savenkova ◽  
Andrei Yu. Mokin ◽  
Nellya S. Udovichenko ◽  
Artem A. Pianykh
Keyword(s):  
Mathematical Modeling ◽  
Gas Phase ◽  
Numerical Study ◽  
Aluminum Reduction Cell ◽  
Aluminum Electrolyzer ◽  
Aluminum Reduction ◽  
Reduction Cell ◽  
Working Space ◽  
Mhd Instability ◽  
Mhd Stability

The paper describes a mathematical model of magnetic hydrodynamics and heat transfer in an aluminum electrolyzer. The model takes into account three phases: gas, electrolyte and metal, and investigates their interaction. Mathematical modeling of the dynamics of the aluminumelectrolyte interface is carried out depending on the potential distribution over the anode for the Soderberg electrolyzer and the multi-anode electrolyzer. A numerical study made it possible to conclude that the Soderberg electrolyzer is less MHD-stable than a multi-anode electrolyzer with burnt anodes. Calculations of MHD stability are carried out when changing the shape of the working space of the bath for various forms of accretion and skull. The interface between the electrolyte-metal media and the boundary of the reverse oxidation zone, which is determined by the spatial distribution of the gas phase, were calculated. The calculations make it possible to accurately predict the development of MHD instability in the bath under various conditions of the process, which minimizes the loss of metal current efficiency

Sign in / Sign up

Export Citation Format

Share Document