Multithreaded Acceleration of 3D Mathematical Model for Ore Sintering

2021 ◽  
pp. 286-292
Author(s):  
Kyrylo S. Krasnikov
Keyword(s):  
Mathematical Model ◽  
Temperature Field ◽  
Computational Domain ◽  
Data Partition ◽  
Perspective View ◽  
Good Correspondence ◽  
Is Implementation ◽  
Ore Sintering ◽  
Numerical Solver ◽  
Solver Performance

One of the widely used methods to accelerate a numerical solver is implementation of multithreading. The problem of thread allocation on-demand at runtime is latency, caused by periodical instantiation of threads. The article is devoted to parallelization of solver for 3D mathematical model of ore sintering, based on software threads reusing them during computation. Computational domain is equally shared among available threads. Each thread writes only to own data partition. A looped barrier is proposed for guaranteed synchronization of all threads after iteration. The method allows scaling performance without recompilation of the solver by using similar CPU with more cores. Measurement of solver performance with 220 nodes using different thread count confirms scalability around 95% for double and single precision arithmetics. Presented pictures of perspective view with three slices of temperature field show influence of heat loss from pallets walls. A cross section of temperature field in layer after 16 minutes of sintering is calculated with appearance of two high-temperature regions inside. Comparison of temperature field with literature data gives good correspondence. The computer model takes into account important chemical reactions, such as, coke burning, carbonate dissolution, water vaporization, as well as mass-heat transfer inside the sinter layer and can be used in metallurgical plants to increase effectiveness of sintering.

scholarly journals Numerical Simulation of a Cigarette during Smoking

2005 ◽  
Vol 21 (7) ◽  
pp. 403-416 ◽  
Author(s):  
B Eitzinger ◽  
S Pirker
Keyword(s):  
Mathematical Model ◽  
Reaction Model ◽  
Temperature Fields ◽  
Vertical Position ◽  
Concentration Profiles ◽  
Computational Domain ◽  
Good Correspondence ◽  
Gas Concentration ◽  
Proposed Model ◽  
Computational Fluid Dynamics Cfd

AbstractA mathematical model for a lit cigarette is derived, which predicts pressure, flow velocity, temperature and gas concentrations inside and outside the cigarette. It consists of a continuum-mechanical model for the flow and a discrete model for the chemical reactions occurring in the tobacco particles.The cigarette model is simulated for a cigarette in a vertical position by methods known as computational fluid dynamics (CFD). Calculated temperature and gas concentration profiles are compared to measured data from the literature for smouldering, puffing and steady-draw. For thermo-physical properties, such as temperature fields and burn rates, a good correspondence with experimental data was found. The correspondence with measured gas concentration profiles was also acceptable, even though the reaction model is rather simple. The results show the importance of including the surroundings of the cigarette in the computational domain.Secondly, a cigarette in a horizontal position is simulated both for free smouldering and for smouldering on a substrate, as occurs, for example, during the ignition strength test. The results show certain qualitative differences between the two smouldering regimes in the flow pattern outside the cigarette and in the transfer of heat to the surroundings and to the substrate.The proposed model offers two main advantages. Firstly, it does not need the input of any data, that can only be measured if the cigarette has been lit, such as temperature fields or burn rates. Secondly, with this model all types of smoking regimes such as smouldering, puffing and steady-draw can be simulated without making any modifications to the mathematical model or its parameters. Only the boundary conditions need to be adapted.

Application of the method of mathematical modeling for forecasting channel deformations at the underwater crossing of the main pipeline

2020 ◽  
Vol 10 (6) ◽  
pp. 599-609
Author(s):  
Valery А. Gruzdev ◽  
◽  
Georgy V. Mosolov ◽  
Ekaterina A. Sabayda ◽  
◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Roughness Coefficient ◽  
Computational Domain ◽  
Channel Deformations ◽  
Geological Surveys ◽  
Kuban River ◽  
The Stability ◽  
Protective Structures

In order to determine the possibility of using the method of mathematical modeling for making long-term forecasts of channel deformations of trunk line underwater crossing (TLUC) through water obstacles, a methodology for performing and analyzing the results of mathematical modeling of channel deformations in the TLUC zone across the Kuban River is considered. Within the framework of the work, the following tasks were solved: 1) the format and composition of the initial data necessary for mathematical modeling were determined; 2) the procedure for assigning the boundaries of the computational domain of the model was considered, the computational domain was broken down into the computational grid, the zoning of the computational domain was performed by the value of the roughness coefficient; 3) the analysis of the results of modeling the water flow was carried out without taking the bottom deformations into account, as well as modeling the bottom deformations, the specifics of the verification and calibration calculations were determined to build a reliable mathematical model; 4) considered the possibility of using the method of mathematical modeling to check the stability of the bottom in the area of TLUC in the presence of man-made dumping or protective structure. It has been established that modeling the flow hydraulics and structure of currents, making short-term forecasts of local high-altitude reshaping of the bottom, determining the tendencies of erosion and accumulation of sediments upstream and downstream of protective structures are applicable for predicting channel deformations in the zone of the TLUC. In all these cases, it is mandatory to have materials from engineering-hydro-meteorological and engineering-geological surveys in an amount sufficient to compile a reliable mathematical model.

Experiment Research on the Temperature Field and Thermal Error Distribution of NC Grinding Machine

2009 ◽  
Vol 76-78 ◽  
pp. 61-66
Author(s):  
Ya Dong Gong ◽  
Yan Guang Bai ◽  
Yue Ming Liu ◽  
Jian Qiu
Keyword(s):  
Mathematical Model ◽  
Temperature Field ◽  
Infrared Camera ◽  
Thermal Error ◽  
Error Distribution ◽  
Measurement Technology ◽  
Actual Error ◽  
Grinding Machine ◽  
The Mathematical Model ◽  
Nc Grinding

With the help of the infrared camera temperature measurement technology, the systemic theoretical analysis and experimental research for temperature field and thermal error distribution in NC grinding machine is provided. Two different situations for temperature field and thermal error distribution are respectively measured while the free and loaded grinding by the new measurement method. The mathematical model of thermal error is built, and it shows that the actual error and the forecasted error from thermal error mathematical model have good comparability.

Potential in microroughness domain of metal surface employed in cathodic protection mode

2021 ◽  
Vol 2021 (3) ◽  
pp. 48-54
Author(s):  
V. Lukovich ◽  
◽  
V. Kartuzov ◽  
Keyword(s):  
Mathematical Model ◽  
Metal Surface ◽  
Cathodic Protection ◽  
Computational Experiment ◽  
Computational Domain ◽  
Protective Potential ◽  
Long Time ◽  
Protection Mode ◽  
Model Equations ◽  
Iterative Procedures

This effort presents the results of investigation of cathodic protection process of a section of the main pipeline, which has been operating in cathodic protection mode for a long time and which insulation has completely exfoliated from metal surface, and a cavity between is filled with water and salt impurities. In this case, a decisive factor is a fact that a metal surface is covered with microroughnesses in the form of protrusions with almost conical shape. The surface is immersed in electrolyte. At the electrolyte-metal interface, a potential difference is formed - a corrosion potential, which creates an unstable equilibrium among the potentials of metal and electrolyte. A mathematical model is designed and implemented into a numerical algorithm and computer program. A computational experiment has been carried out to calculate the potential around microroughness. The model describes a change in potential in this area at incomplete and complete cathodic protection of metal surface. The basis of computational model is a selection of one of metal protrusions of material microheterogeneity and placing it in a cylinder, which diameter coincides with that one of the lower base of this protrusion, and its upper part passes through the apex of the protrusion. Mathematical model equations with corresponding boundary conditions and their discrete implementation are presented. The solution of problems is obtained by iterative procedures based on reference values of protective potential taken from practice. The results of computational experiment are presented in the form of graphs: 1) potential distribution in the field of electrolytes; 2) changes in electrolyte potential at the border with protrusion at different values of polarization potential; 3) changes in polarization resistance in the area (calculated). The geometry of computational domain was also varied, and the values of protective potential were determined to ensure the absence of corrosion. Keywords: corrosion, microroughness, protective potential, plastic current density, electrolyte

Solidification of a Binary Solution (NH4Cl+H2O) under Shear Flow: A Numerical Study

2014 ◽  
Vol 217-218 ◽  
pp. 174-181
Author(s):  
Akshaya Kumar Nayak ◽  
Nilkanta Barman ◽  
Himadri Chattaopadhyay
Keyword(s):  
Mathematical Model ◽  
Shear Flow ◽  
Numerical Study ◽  
Binary Solution ◽  
Species Conservation ◽  
Solidification Process ◽  
Bulk Solution ◽  
Computational Domain ◽  
Simpler Algorithm ◽  
Slurry Layer

In the present work, the solidification behaviour of a metal analogues transparent binary solution (8 wt% of NH4Cl in H2O) under shear flow is investigated numerically. The shear flow in the mush is developed due to flow over an inclined cooling plate. The dendrites formed during solidification are fragmented under the shear flow and transported into the bulk solution. The suspended dendrites form a slurry layer in the domain. Consequently, a suitable mathematical model is considered to study the transport phenomena. In the mathematical model, the free surface of the solution is represented by the volume-of-fluid (VOF) method. The solidification process is modelled by a set of volume-averaged-single-phase mass, momentum, energy and species conservation equations. A separate equation is considered for the solid velocity based on Stokes model. The governing equations are solved based on the pressure-based semi-implicit finite volume method according to the SIMPLER algorithm using TDMA solver along with the enthalpy update scheme. Finally, the simulation predicts temperature, velocity, solid fraction and the species distributions in the computational domain. Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;}

Microstructures in Solidification Simulation of Electron Beam Scanning with MC in Molten Pool

2014 ◽  
Vol 898 ◽  
pp. 168-172 ◽  
Author(s):  
Rong Wang ◽  
Yi Liu ◽  
De Qiang Wei
Keyword(s):  
Mathematical Model ◽  
Temperature Field ◽  
Electron Beam ◽  
Grain Growth ◽  
Molten Pool ◽  
Growth Process ◽  
Solidification Process ◽  
Optical Microscope ◽  
Physical Parameters ◽  
Beam Scanning

The solidification microstructure of electron beam scanning is important to product performance. The solidification process of molten pool temperature field and 2D simulation mathematical model of grain growth was established based on heat transfer and the physics of growth process of crystal grains. The heat distribution, thermal physical parameters and influence of thermal radiation on the temperature field was considered during the analysis process. The distribution of temperature field was solved by COMSOL. The process of solidification was simulated by using Monte Carlo method. Using optical microscope to observe the solidified microstructure of bath. The simulation results show that the mathematical model can reasonably describe the grain growth process, the temperature field and the simulation of microstructure morphology.

Mathematical model of the temperature field around a borehole with radioactive wastes and its experimental verification in field conditions

1985 ◽  
Vol 59 (6) ◽  
pp. 994-998
Author(s):  
E. G. Drozhko ◽  
V. I. Karpov ◽  
A. S. Stepanov ◽  
I. I. Kryukov ◽  
V. F. Savel'ev ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Temperature Field ◽  
Experimental Verification ◽  
Radioactive Wastes ◽  
Field Conditions

The Numerical Simulation of Directional Solidification Process Temperature Field for Large-Scale Frustum of a Cone Ingot

2011 ◽  
Vol 189-193 ◽  
pp. 1476-1481
Author(s):  
Kun Liu ◽  
Zhe Wang ◽  
Ren Zhi Han ◽  
Zi Ping Ren
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Temperature Field ◽  
Directional Solidification ◽  
Large Scale ◽  
Solidification Process ◽  
Directional Solidification Process ◽  
Ingot Quality ◽  
Fluent Software ◽  
The Mathematical Model

By using Fluent software, the mathematical model of temperature field is established on directional solidification process for large-scale frustum of a cone ingot, and the result is analyzed by Origin software, Tecplot. The influences of different width/thickness ratio to directional solidification process of cone ingot are discussed in order to provide basis for design optimization and ingot quality improvement.

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