A System Approach to Mathematical and Computer Modeling of Geomigration Processes Using Freefem++ and Parallelization of Computations

Herus, V. A.; Ivanchuk, Natalia; Martyniuk, Petro

doi:10.1007/s10559-018-0030-3

Cited by 13 publications

(13 citation statements)

References 11 publications

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“…This last achieves its maximum value, 100 (mV), at 1000 min, and minimum value, −250 mV at 1300 min; however, it tends to stabilize with fermentation time. This performance is reflected as well in other works [53,54]. On the other hand, during the whole of this period, temperature moved between 23.6 and 24.6 °C.…”

Section: First Stagesupporting

confidence: 78%

Proposal of a Laboratory-Scale Anaerobic Biodigester for Introducing the Monitoring and Sensing Techniques, as a Potential Learning Tool in the Fields of Carbon Foot-Print Reduction and Climate Change Mitigation

Brito-Espino

León

Reboso

et al. 2021

Water

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This article presents a proposal of an anaerobic biodigester on a laboratory scale for introducing the monitoring and sensing techniques of the growth of microorganisms according to different parameters, where the redox potential, pH, pressure, and temperature have been measured in quasi-continuous mode. For this task, a microcontroller system was used (Atmega328—Arduino). Importantly, the design is based on flexible and open-source software, hardware, and firmware (Scilab, Arduino, Processing), facilitating its modification for other related studies. This design was developed to help engineering students to learn and to understand the operation of an anaerobic biodigester, which allows us to know various properties of the system at any time, as well as its evolution over time. In this way, property curves can be drawn and related to each other to obtain a better understanding of the biodigester operation. In this context, the relationship between the oxide-reduction reaction and microbial activity was studied so that the redox potential can be a way of measuring the growth of microorganisms in an anaerobic environment. With all this, through these parameters, it is possible to introduce to engineering students the operation of this technology used normally like a very powerful tool for the control of the carbon footprint, for example in wastewater sector, and consequently for the mitigation of the climate change.

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Section: First Stagesupporting

confidence: 78%

Proposal of a Laboratory-Scale Anaerobic Biodigester for Introducing the Monitoring and Sensing Techniques, as a Potential Learning Tool in the Fields of Carbon Foot-Print Reduction and Climate Change Mitigation

Brito-Espino

León

Reboso

et al. 2021

Water

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“…The partial differential equation solver FreeFem++ was used to implement the algorithm for the calculation. Due to it advantages, open access software with a powerful generated mesh and a large collection package to visualize approximate solutions, makes Freefem++ an ideal tool to solve complex partial differential equations [38]. Parallel calculation by parallel computing on clusters of personal computer has been achievable with a Message Passing Interface (MPI) within Freefem++.…”

Section: Calculationmentioning

confidence: 99%

A Framework Based on Finite Element Method (FEM) for Modelling and Assessing the Affection of the Local Thermal Weather Factors on the Performance of Anaerobic Lagoons for the Natural Treatment of Swine Wastewater

Brito-Espino

Martín

Báez

et al. 2021

Water

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Anaerobic lagoons are natural wastewater treatment systems suitable for swine farms in small communities due to its low operational and building costs, as well as for the environmental sustainability that these technologies enable. The local weather is one of the factors which greatly influences the efficiency of the organic matter degradation within anaerobic lagoons, since microbial growth is closely related to temperature. In this manuscript, we propose a mathematical model which involves the two-dimensional Stokes, advection–diffusion-reaction and heat transfer equations for an unstirred fluid flow. Furthermore, the Anaerobic Digestion Model No1 (ADM1), developed by the International Water Association (IWA), has been implemented in the model. The partial differential equations resulting from the model, which involve a large number of state variables that change according to the position and the time, are solved through the use of the Finite Element Method. The results of the simulations indicated that the methodology is capable of predicting reasonably well the steady-state of the concentrations for all processes that take place in the anaerobic digestion and for each one of the variables considered; cells, organic matter, nutrients, etc. In view of the results, it can be concluded that the model has significant potential for the design and the study of anaerobic cells’ behaviour within free flow systems.

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“…The ideas of deriving the equations of filtration and moisture transfer in the case of variable porosity are presented in [1][2][3]5]. Also in [5] these ideas are used to derive a modified kinematic condition on a moving free surface in the study of filtration processes in the body of the soil dam.…”

Section: Filtration Equations Taking Into Account the Effect Of mentioning

confidence: 99%

“…In [1][2][3][4][5] the processes of filtration, moisture transfer, compaction in soils in case of exposure to inorganic chemicals were studied by methods of mathematical and computer modelling. From the point of view of practically important problems the specified processes concern pollution of environment by industrial productions waste.…”

Section: Introductionmentioning

confidence: 99%

Mathematical model of filtration under conditions of variable porosity taking into account biocolmatage

Natalia¹,

Martyniuk²,

Olga³

2020

MCIT

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A System Approach to Mathematical and Computer Modeling of Geomigration Processes Using Freefem++ and Parallelization of Computations

Cited by 13 publications

References 11 publications

Proposal of a Laboratory-Scale Anaerobic Biodigester for Introducing the Monitoring and Sensing Techniques, as a Potential Learning Tool in the Fields of Carbon Foot-Print Reduction and Climate Change Mitigation

Proposal of a Laboratory-Scale Anaerobic Biodigester for Introducing the Monitoring and Sensing Techniques, as a Potential Learning Tool in the Fields of Carbon Foot-Print Reduction and Climate Change Mitigation

A Framework Based on Finite Element Method (FEM) for Modelling and Assessing the Affection of the Local Thermal Weather Factors on the Performance of Anaerobic Lagoons for the Natural Treatment of Swine Wastewater

Mathematical model of filtration under conditions of variable porosity taking into account biocolmatage

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