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Journal articles on the topic 'Navier Stoke'

Author: Grafiati

Published: 11 March 2023

Last updated: 31 July 2025

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1

Cai, Jiaxi, Yihan Wang, and Shuonan Yu. "The Recent Progress and the State-of-art Applications of Navier Stokes Equation." Highlights in Science, Engineering and Technology 12 (August 26, 2022): 114–20. http://dx.doi.org/10.54097/hset.v12i.1413.

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Navier Stoke equation plays an important role in physics field to describe the movement of fluid. In description of movement of fluid, turbulent flow is difficult to describe because it cannot be predicted precisely for movement of every particle. In this paper, we present the basic information of Navier Stoke equation, history of developing Navier Stoke equation as well as solving method. In addition, the state-of-art applications in fluid mechanics are also demonstrated. Moreover, the limitation of Navier Stoke equation and its future prospect are proposed accordingly. These results shed lig

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2

Huan, Diem Dang. "Stability of stochastic 2D Navier-Stokes equations with memory and Poisson jumps." Open Journal of Mathematical Sciences 4, no. 1 (2020): 417–29. http://dx.doi.org/10.30538/oms2020.0131.

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The objective of this paper is to study the stability of the weak solutions of stochastic 2D Navier-Stokes equations with memory and Poisson jumps. The asymptotic stability of the stochastic Navier-Stoke equation as a semilinear stochastic evolution equation in Hilbert spaces is obtained in both mean square and almost sure senses. Our results can extend and improve some existing ones.

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Yanti, Rahma. "Pengaruh Posisi Bukaan terhadap Penghawaan Alami pada Rumah Balai Padang." Gorontalo Journal of Infrastructure and Science Engineering 2, no. 1 (2019): 10. http://dx.doi.org/10.32662/gojise.v2i1.525.

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Penelitian ini bertujuan untuk mengetahui efek dari posisi dari bukaan yang ada di rumah Balai Padang. Metode yang digunakan adalah eksperimental dengan menggunakan bantuan software CFD (computational Fluid Dimension) berdasarkan persamaan Navier-Stoke, menggunakan K-Epsilon RNG. Eksperimen dilakukan dengan validasi hasil pengukuran lapangan This study aims to investigate the effect of position openings in Balai Padang house. The numerical methodology is based on solution of the Navier-Stokes equations, using K-epsilon RNG. Numerical results are validated with available field measurement data.

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Almady, Wasif. "Analytical Solution for Boltzmann Collision Operator for the1-D Diffusion equation." International Journal for Research in Applied Science and Engineering Technology 9, no. 9 (2021): 1514–17. http://dx.doi.org/10.22214/ijraset.2021.38189.

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Abstract: In this paper, we have presented the analytical solution of the collision operator for the Boltzmann equation of onedimensional diffusion equation using the analytical solution of the one-dimensional Navier Stoke diffusion equation. Keywords: Boltzmann equation; analytical collision operator; one-dimensional diffusion equation.

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Zhu, Bao Li, Hui Pen Wu, and Tian Hang Xiao. "Study of Aerodynamic Interactions of Dual Flapping Airfoils in Tandem Configurations." Applied Mechanics and Materials 160 (March 2012): 301–6. http://dx.doi.org/10.4028/www.scientific.net/amm.160.301.

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The unsteady viscous flow fields of dual flapping airfoils in tandem configurations are simulated by a Navier-Stokes Solver based on dynamic deformable hybrid meshes. Aerodynamic interactions of three motion models are studied including flapping fore airfoil with fixed aft airfoil, two airfoils flapping in phase and out-of-phase. The results indicate that the aft airfoil in the wake of the flapping fore airfoil has great influence on the aerodynamic performance. When the fore airfoil flaps with a fixed aft airfoil, the thrust generation and thrust propulsive efficiency were enhanced by 65% and

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Khajohnsaksumeth, N. "The Effect of Molar Weight on Airborne Infectiousness of Coronavirus." WSEAS TRANSACTIONS ON BIOLOGY AND BIOMEDICINE 21 (March 1, 2024): 83–92. http://dx.doi.org/10.37394/23208.2024.21.9.

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To design an effective ventilation system in healthcare settings, understanding the ventilation pattern is necessary. In this research, we have investigated the effect of the weight of airborne coronavirus on the spread of the COVID-19 infection. We have mathematically modeled the distribution of the virus as a transport of concentration, including the Navier-Stoke equation and continuity equation. The finite element method was applied to drive the simulations. The numerical results have been obtained and analyzed in this report.

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Basuki, Imam, and Fredy Susanto. "Aliran Fluida Laminer Pada Pipa Non Horizontal." JEECAE (Journal of Electrical, Electronics, Control, and Automotive Engineering) 4, no. 2 (2019): 301–5. http://dx.doi.org/10.32486/jeecae.v4i2.435.

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aliran fluida dalam pipa nonhorizontal merupakan aliran dalam koordinat silindrikal merupakan aliran yang berkembang secara penuh dalam arah subu z. dengan menerapkan prinsip-prinsip hokum kekekalan masa dan momentum, serta berpendekatan pada teorema gauss serta menentukan kondisi batas teoritisnya, maka aplikasi persamaan navier stoke menghasilkan gambaran nilai laju arah aliran fluida berkembang penuh dalam pipa, profile aliran berupa profil aliran hiperbolik dalam pipa alir, dan laju rata-rata volume fluida yang memiliki kekuatan laju dalam nilai kuadrat 4 nilai jari-jari pipa alirnya (a^4

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8

Lévy, T., and E. Sanchez-Palencia. "Einstein-like approximation for homogenization with small concentration. II—Navier-Stoke equation." Nonlinear Analysis: Theory, Methods & Applications 9, no. 11 (1985): 1255–68. http://dx.doi.org/10.1016/0362-546x(85)90034-3.

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9

Ibthisham, A. Mohd, Srithar Rajoo, Amer Nordin Darus, Mazlan Abdul Wahid, Mohsin Mohd Sies, and Aminuddin Saat. "Simulation of Corrected Mass Flow and Non-Adiabatic Efficiency on a Turbocharger." Applied Mechanics and Materials 388 (August 2013): 23–28. http://dx.doi.org/10.4028/www.scientific.net/amm.388.23.

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The aim of this project is to evaluate turbine’s performance based on its actual condition. Holset H3B nozzles turbine geometry was used as simulation model. Turbine’s actual working condition was simulated using finite volume method (FVM). Three-dimensional Navier Stoke equations with heat convection loss via turbine volute are solved. The parameters studied are corrected mass flow and turbine’s efficiency at different heat transfer coefficients. Temperature difference within turbine’s volute is the major factor that deteriorates turbine’s efficiency. It is found that the higher the heat tran

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10

Tasri. "Simple Improvement of Momentum Interpolation Equation for Navier-Stoke Equation Solver on Unstructured Grid." Journal of Mathematics and Statistics 6, no. 3 (2010): 265–70. http://dx.doi.org/10.3844/jmssp.2010.265.270.

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11

MORINISHI, Koji. "A Preliminary Study of the Boltzmann/Navier-Stoke Hybrid Method for Micro Flow Simulation." Proceedings of The Computational Mechanics Conference 2004.17 (2004): 81–82. http://dx.doi.org/10.1299/jsmecmd.2004.17.81.

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Merder, T., M. Warzecha, and P. Warzecha. "Large-Eddy Simulations of a Flow Characteristics in a Multi-Strand Continuous Casting Tundish / Badania Numeryczne Charakterystyk Przepływu W Wielo-Wylewowej Kadzi Posredniej Metodą Wielkich Wirów (Les)." Archives of Metallurgy and Materials 60, no. 4 (2015): 2923–26. http://dx.doi.org/10.1515/amm-2015-0466.

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In order to increase the efficiency and quality of the steel-making process a numerous studies are conducted at the various stages of the process, including continuous casting of steel. Researchers still search for new models and improve existing one, so that the specific of the process is accuratelly reproduced. One way to increase the accuracy of numerical simulation, is to apply the LES (Large Eddy Simulation) method to simulate steelmaking processes. The article presents the results of numerical analysis on the flow characteristics (RTD curves) of liquid steel in the tundish facility for t

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Rahmayanti, Rahmayanti. "PENGARUH WINDOW TO WALL RATIO TERHADAP KENYAMANAN FISIOLOGIS DENGAN MENGGUNAKAN CFD ANSYS 14.0." Gorontalo Journal of Infrastructure and Science Engineering 3, no. 1 (2020): 37. http://dx.doi.org/10.32662/gojise.v3i1.905.

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The use of air conditioning energy (AC) as an effort to remove heat in buildings reaches 30% of the total energy needed in the building. To reduce the use of energy in buildings by using natural ventilation because the system does not use mechanics. Field research has been carried out with the result that the openings at Balai Padang are unable to make occupants' comfort. Therefore, the existing openings will be given treatment by wider the existing openings which are 20%, 30%, and 40%. This study purpose to investigate the effect of WWR on histologic comfort. The numerical methodology is base

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Russo, Serena, and Flavio Giannetti. "Propeller wake impact on transition location." Journal of Physics: Conference Series 2716, no. 1 (2024): 012006. http://dx.doi.org/10.1088/1742-6596/2716/1/012006.

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Abstract This work has been carried out within ESTRO Clean Sky 2 CfP project, whose goal was to develop an innovative future green regional aircraft configuration based on several new technologies able to match the very demanding and challenging objectives ACARE 2020 in terms of environmental impact. In details, an automatic numerical procedure for the evaluation of the detrimental effect of the propeller on transition location of a laminar turbo-prop wing is proposed here. The evaluation of transition location is based on a well-known procedure, based on the use of eN method implemented in a

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15

Ondara, Koko, Ulung Jantama Wisha, and Serli Marlinda Panjaitan. "Particle Tracking Model Approach for Analyzing Crude Oil Spill (Palm Fatty Acid Distillate) in Bayur Bay Based on Navier Stokes Discrete." Buletin Oseanografi Marina 10, no. 1 (2021): 67–74. http://dx.doi.org/10.14710/buloma.v10i1.29036.

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Oil spilled in the marine ecosystem may be induced by some sources which alter over time and location. Oil leakage from offshore oil drilling, underwater oil pipeline leakage, etc., are the possible source of oil spill pollution. Marine pollution generated by oil spilling occurred in Padang City in 2017. Palm Fatty Acid Distillate (PFAD) spilled within Bayur Bay Harbor due to a leaking storage tank. As much as 50 tons of PFAD overflowed and commenced to pollute Bayur coastal bay. This study aimed to determine the distribution pattern of oil spills throughout the Bayur Bay based on a hydrodynam

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16

Fadhel, Ihssan A. "Simulation of Newtonian axisymmetric pipe flow by using a Taylor Galerkin/pressure correction finite element method." BASRA JOURNAL OF SCIENCE 38, no. 2 (2020): 198–222. http://dx.doi.org/10.29072/basjs.202024.

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this study, a time stepping Taylor Galerkin/pressure correction finite element scheme is employed to treat incompressible Newtonian flows. In this context, Navier-Stoke partial differential equations have been used to describe the motion of the fluid. The equations consist of a time-dependent continuity equation for conservation of mass and time-dependent conservation of momentum equations. Examples considered include a start-up of Poiseuille, flow in a axisymmetric rectangular channel for the Newtonian fluid. This test is conducted by taking a circular section of the pipe. The critical level

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A. Mohammad, Dounia, Mushtaq I. Hasan, and Ahmed J. shkara. "Study the performance of microchannel heat exchanger with combined effect of PDF and PDF and different flow arrangements." University of Thi-Qar Journal for Engineering Sciences 11, no. 2 (2021): 109–16. http://dx.doi.org/10.31663/tqujes.11.2.398(2021).

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This paper numerically investigated the square microchannel heat exchanger (MCHE) at hydraulic diameter 20 ?m and the diluted water 1:1 potassium chloride (KCl) solution as a working fluid at ionic concentration M with using silicon microchannel. A comparison has been made between parallel and counter flow with two methods of driven flow of liquid through MCHE (pressure driven flow PDF and electroosmotic flow EOF) with using two values of zeta potential (-75, -200 mv) to investigate the effect of zeta potential on performance of parallel and counter flow. In this paper solved a three dimension

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18

Sangotayo, E. O., and J. O. Ogidiga. "Effect of the Richardson Number on Flow and Heat Transfer in a Cylinder Filled with Cu-Water Nano-fluid at Different Nanoparticle Concentrations." Journal of Applied Sciences and Environmental Management 26, no. 9 (2022): 1488–506. http://dx.doi.org/10.4314/jasem.v26i9.7.

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Fluid circulation and thermal exchange properties via integrated natural and artificial convection within a container have attracted considerable interest due to its many industrial uses. This present work concentrates on determining the effect of the Richardson number on flow and heat transfer in a cylinder filled with Cu-Water nanofluid at different nanoparticle concentrations. The governing equations: continuity and Navier Stoke fields were discretized using the finite difference approach and simulated in C++ programming language. In this work, the Richardson parameter ranged from 2.6*104 t

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Khanh, Nguyen Hung, Lanh Le Thanh, and Thoi Le Nam. "Numerical Investigation on Characteristics of Fluid Flow Over Cavity in a Parallel Channel at Low Reynolds Numbers." International Journal of Research in Vocational Studies (IJRVOCAS) 2, no. 2 (2022): 53–70. http://dx.doi.org/10.53893/ijrvocas.v2i2.66.

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The database management output system is interesting and available in the numerical analysis of fluid flow, especially for a fluid flowing past a cavity inside a channel. The aim of the current study is to investigate numerical simulations characteristic of fluid flowing over a cavity in a parallel channel at low Reynolds numbers and to predict reduced energy. Computer Fluid Dynamic (CFD) is utilized to solve two-dimensional low Reynolds Navier-Stoke equations with support from Gambit software, which incorporates a simulation modelling suite in the meshing model. The numerical simulations were

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Firdhaus, Ahmad, I. Ketut Suastika, Kiryanto Kiryanto, and Samuel Samuel. "Benchmark Study of FINETM/Marine CFD Code for the Calculation of Ship Resistance." Kapal: Jurnal Ilmu Pengetahuan dan Teknologi Kelautan 18, no. 2 (2021): 111–18. http://dx.doi.org/10.14710/kapal.v18i2.39727.

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Benchmarking can be used to test CFD programs for selecting turbulence models, grid dependency studies, testing different numerical schemes and source codes, and testing different boundary conditions. CFD simulation in this study uses FINE™/Marine 7.2-1 software. The solver process at NUMECA uses the ISIS-CFD flow solver developed by EMN, which uses the incompressible unsteady Reynolds-average Navier stoke equation (RANSE). The solver is based on the finite volume method, and Turbulence models use SST k-ω models. The free surface flow around a model surface ship (DTMB 5415) advancing in calm w

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Li, Wei, Junfang Ma, Tao Zhu, Haiqiao Wei, and Jiaying Pan. "Nozzle Design of Plug-and-Play Passive Pre-Chamber Ignition Systems for Natural Gas Engines." Applied Sciences 13, no. 16 (2023): 9468. http://dx.doi.org/10.3390/app13169468.

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To evaluate the significance of the geometrical parameters of a passive pre-chamber on engine performance, this study investigated the design of a plug-and-play passive pre-chamber in a 15 L heavy-duty natural gas engine. Multi-dimensional numerical investigations were conducted for parametric studies involving lateral angle, orifice diameter, and vertical angle. A compressive flow solver was employed for Navier–Stoke equations, coupled with detailed sub-models and a chemical kinetic scheme. The combustion model was calibrated and could well predict the engine combustion and operating performa

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22

Wang, Zhi-jian, Jian-she Zheng, Lu-lu Li, and Shuai Luo. "Research on Three-Dimensional Unsteady Turbulent Flow in Multistage Centrifugal Pump and Performance Prediction Based on CFD." Mathematical Problems in Engineering 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/589161.

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The three-dimensional flow physical model of any stage of the 20BZ4 multistage centrifugal pump is built which includes inlet region, impeller flow region, guide-vane flow region and exit region. The three-dimensional unsteady turbulent flow numerical model is created based on Navier-Stoke solver and standardk-εturbulent equations. The method of multireference frame (MRF) and SIMPLE algorithm are used to simulate the flow in multistage centrifugal pump based on FLUENT software. The distributions of relative velocity, absolute velocity, static pressure, and total pressure in guide vanes and imp

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Shote, Adeola Suhud, Samson Abiodun Aasa, Olabode T. Olakoyejo, and Aderemi Musiliudeen Bamiduro. "EFFECTS OF CONTINUOUS AND FRACTURED RIBS PLACED AT THE ENDWALL SURFACE UPSTREAM OF THE TURBINE-VANE LEADING-EDGE." Media Mesin: Majalah Teknik Mesin 25, no. 2 (2024): 116–21. http://dx.doi.org/10.23917/mesin.v25i2.4349.

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Total pressure loss, chaotic and heavy flow downstream of the turbine passage exit area are a few effects of the desired increase in inlet temperature input at the upstream part of the turbine vane passage. Huge amount of energy from the cross-flows near the middle of the vane actual chord are transported downstream by this chaotic flow which often results in aerodynamic loss and differential heat penalties. To compare the different arrangement, comparisons of the two geometries, the impact of adding various rib configurations upstream are studied for heat augmentation efficacies. The leading-

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Utku Gungor, O., A. Burak Nuzumlalı, Müslüm Ozkesiciler, Cagrı Kocan, and Evren Sakarya. "CFD-Corrected Aerodynamic Influence Matrices and Aplications on Aeroelastic Phenomena." Journal of Physics: Conference Series 2647, no. 5 (2024): 052004. http://dx.doi.org/10.1088/1742-6596/2647/5/052004.

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Abstract The main aim of this study is solution of aeroelastic problems such as flutter, gust and control reversal analysis with Computational Fluid Dynamic (CFD) corrected unsteady aerodynamic instead of inviscid linear results calculated by Doublet Lattice Method (DLM). The DLM is the essential tool for calculating unsteady aerodynamic loads in aeroelasticity. Besides the essential advantages of the DLM, it is based on linear potential flow approach and is only valid for subsonic flow with the assumption of thin airfoil geometry. On the other hand, wing tunnel experiments and high fidelity m

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Dou, Zhi, Zhifang Zhou, Jinguo Wang, and Jin Liu. "Pore-Scale Modeling of Mixing-Induced Reaction Transport through a Single Self-Affine Fracture." Geofluids 2018 (June 24, 2018): 1–10. http://dx.doi.org/10.1155/2018/9095143.

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This pore-scale modeling study in single self-affine fractures showed that the heterogeneous flow field had a significant influence on the mixing-induced reaction transport. We generated the single self-affine fracture by the successive random additions (SRA) technique. The pore-scale model was developed by coupling the Navier-Stoke equation (NSE) and advection-diffusion equation with reaction (ADER). Eddies were captured in the self-affine fracture due to the increasing Reynolds number and the sudden expansion of aperture. The flux-weighted breakthrough curves (BTCs) of reaction product showe

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Che Yaakob, Muhammad Nooramin, W. M. Faizal, and C. Y. Khor. "COMPUTATIONAL FLUID DYNAMICS ANALYSIS ON OVERWEIGHT SLEEP APNEA PATIENT UNDER VARIOUS BREATHING FLOW PATTERNS." ASEAN Engineering Journal 13, no. 2 (2023): 69–79. http://dx.doi.org/10.11113/aej.v13.18864.

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Obstructive Sleep Apnea (OSA) is a breathing disorder that occurs during sleep. This syndrome affects numerous people, especially those with abnormal body fat composition parameters such as body mass index (BMI) of more than 25 kg/m2 (overweight & obesity). OSA ensues when the tongue and soft palate muscles in a relaxed condition move towards gravity when the patient is in a supine position; this causes narrowing and blockage on the upper airway affecting breathing. There are several treatments for OSA, including upper airway surgery. A better understanding of airflow characteristics will

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Widyayanti, Herna, Eka Oktariyanto Nugroho, Alif Syahrul Zulhaq, et al. "The effect of compound channel shape for local scouring and flow dynamics using NaysCUBE-3D RANS at Downstream Tukad Unda River Bali Province." IOP Conference Series: Earth and Environmental Science 1266, no. 1 (2023): 012012. http://dx.doi.org/10.1088/1755-1315/1266/1/012012.

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Abstract The prediction of sediment transport and flow dynamics are important issues in channel design as the local scouring has an important effect on the shape of the channel, especially on the compound channel. Tukad Unda River in Bali has river section in the form of compound channel. It consists of two sections with different dimension, the main channel and the flood plain. These dimensional differences cause two different flows. Transformation of flow velocity and turbulence cause movement of sediment transport, generates a complex 3D flow structure in the boundary of main channel and fl

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Fatahillah, Arif, Alfiani Dyah Pratiwi, Susi Setiawani, Arika Indah Kristiana, and Robiatul Adawiyah. "NUMERICAL ANALYSIS IN ARTERIAL STENOSIS AFFECTED BY ISCHEMIC HEART DISEASE USING FINITE VOLUME METHOD." BAREKENG: Jurnal Ilmu Matematika dan Terapan 18, no. 1 (2024): 0179–92. http://dx.doi.org/10.30598/barekengvol18iss1pp0179-0192.

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Atherosclerosis is the narrowing of blood vessels caused by the buildup of cholesterol plaque on the walls of the arteries. Excessive buildup of cholesterol plaque disrupts the circulatory system, thereby affecting the speed and pressure of blood flow. In the long term, atherosclerosis can cause ischemic heart disease. This study aims to analyze the influence of stenosis, initial velocity, and diameter on the velocity and pressure of blood flow in narrowed arteries that cause ischemic heart disease. In this research, a Navier Stoke mathematical equation model was built which was solved using t

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Lich, Tran Gia, Le Kim Luat, and Han Quoc Trinh. "Calculation of the pressure on the valves of a sluice." Vietnam Journal of Mechanics 19, no. 3 (1997): 25–34. http://dx.doi.org/10.15625/0866-7136/10057.

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This paper is devoted to a numerical method for calculating the pressure on the vertical two-dimensional valve basing on Navier-Stokes equations. Numerical solutions at interior points are established by splitting Navie-Stokes unsteady two-dimensional equations into two unsteady one-dimensional equations. An implicit scheme is obtained and the solution for these equations is established by the double sweep method. The values at the boundary points are calculated by the method of characteristics.

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Butter, J. K., K. W. Bunonyo, and I. C. Eli. "Mathematical Modelling of the Thermosolutal Effect on Blood Flow through a Micro-Channel in the Presence of a Magnetic Field." British Journal of Multidisciplinary and Advanced Studies 5, no. 4 (2024): 14–32. http://dx.doi.org/10.37745/bjmas.2022.04161.

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Substances such as mass concentrations in the blood cause circulation challenges. Blood is a substance made up of 55% plasma and 45% hemoglobin, which flows through the blood vessels and is aided by the heart in pumping to all organs and other tissues and cells in the human body. Mathematical modelling plays an important role in understanding the blood circulation problem in the human body, and it helps transform the real-life cardiovascular problem into a system of mathematical equations. In this research, we transformed the real-life cardiovascular problem of the heat effect on mass concentr

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Zhou, Junli, Cheng Ye, Yan Hu, Hassan Hemida, Guoqiang Zhang, and Wei Yang. "Development of a model for single-sided, wind-driven natural ventilation in buildings." Building Services Engineering Research and Technology 38, no. 4 (2017): 381–99. http://dx.doi.org/10.1177/0143624417699658.

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Natural ventilation is a simple and energy-efficient method to adjust the indoor environment. This study aims to develop a model for predicting the total flow rate of single-sided natural ventilation. It is motivated by the fact that the wind-driven ventilation itself is commonly considered to consist two components – a mean component and a fluctuating component. Pulsating flow rate, mean and broadband ventilation rate are discussed and considered in the model due to fluctuating wind velocity driven by the fluctuating pressures and unsteady flows around the opening. The new model shows that th

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Rannacher, Rolf. "Numerical analysis of the Navier-Stokes equations." Applications of Mathematics 38, no. 4 (1993): 361–80. http://dx.doi.org/10.21136/am.1993.104560.

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Xi, Ke, and Chao Yan. "CFD Transonic Trajectory Predictions of Three-Store Ripple Release Using Chimera Method." Applied Mechanics and Materials 513-517 (February 2014): 4490–93. http://dx.doi.org/10.4028/www.scientific.net/amm.513-517.4490.

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The complicated unsteady flows with moving boundary were simulated numerically by coupling solving unsteady compressible Navier-Stokes equations and 6DOF rigid-body dynamics equations. The Chimera grid technology was used to handle the relative motion. The three-store ripple release of the wing-store configuration was simulated using this method. The computational results are in good agreement with data from other literature, showing that the method used has a strong applicability to complex multi-body separation problem.

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Okagaki, Yuria, Takashi Hibiki, and Yasuteru Sibamoto. "CFD Applications to Pressurized Thermal Shock-Related Phenomena." International Journal of Energy Research 2024 (April 24, 2024): 1–37. http://dx.doi.org/10.1155/2024/5114542.

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In pressurized water reactor accident scenarios, the injection of water from the emergency core cooling system (ECCS) (ECC injection) might induce a pressurized thermal shock (PTS), affecting the reactor pressure vessel (RPV) integrity. Therefore, PTS is a vital research issue in reactor safety, and its analysis is essential for evaluating the integrity of RPVs, which determines the reactor life. The PTS analysis comprises a coupled analysis between thermal–hydraulic and structural analyses. The thermal–hydraulic approach is particularly crucial, and reliable computational fluid dynamic (CFD)

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Choi, Hyoung-Gwon, Jung-Yul Yoo, and Sung-Woo Kang. "Parallel Preconditioner for the Domain Decomposition Method of the Discretized Navier-Stokes Equation." Transactions of the Korean Society of Mechanical Engineers B 27, no. 6 (2003): 753–65. http://dx.doi.org/10.3795/ksme-b.2003.27.6.753.

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Ha, Tae-Min, Don NamGung, and Yong-Sik Cho. "Directional Wave Generation in the Navier-Stokes Equations Using the Internal Wave Maker." Journal of Korea Water Resources Association 45, no. 6 (2012): 545–55. http://dx.doi.org/10.3741/jkwra.2012.45.6.545.

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Amakobe James, Hagai. "Modified Navier-Stokes Equation for Incompressible Fluid Impacts." International Journal of Science and Research (IJSR) 10, no. 6 (2021): 126–31. https://doi.org/10.21275/sr21506092348.

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Akysh, A. Sh. "The Cauchy problem for the Navier-Stokes equations." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 98, no. 2 (2020): 15–23. http://dx.doi.org/10.31489/2020m2/15-23.

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Ju, Qiangchang, and Jianjun Xu. "Zero-Mach limit of the compressible Navier–Stokes–Korteweg equations." Journal of Mathematical Physics 63, no. 11 (2022): 111503. http://dx.doi.org/10.1063/5.0124119.

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We consider the Cauchy problem for the compressible Navier–Stokes–Korteweg system in three dimensions. Under the assumption of the global existence of strong solutions to incompressible Navier–Stokes equations, we demonstrate that the compressible Navier–Stokes–Korteweg system admits a global unique strong solution without smallness restrictions on initial data when the Mach number is sufficiently small. Furthermore, we derive the uniform convergence of strong solutions for compressible Navier–Stokes–Korteweg equations toward those for incompressible Navier–Stokes equations as long as the solu

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Seok, Woochan, Sang Bong Lee, and Shin Hyung Rhee. "Computational simulation of turbulent flows around a marine propeller by solving the partially averaged Navier–Stokes equation." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 18 (2019): 6357–66. http://dx.doi.org/10.1177/0954406219848021.

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This study concerns the characteristics of the partially averaged Navier–Stokes method for local flow analysis around a rotating propeller. Partially averaged Navier–Stokes, resolving crucial large-scale structures of turbulent flow at a given computational grid resolution, is a bridging turbulence closure model between the Reynolds-averaged Navier–Stokes equation and the direct numerical simulation. A detailed comparison between partially averaged Navier–Stokes and Reynolds-averaged Navier–Stokes models is made to achieve a better understanding of partially averaged Navier–Stokes characterist

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Sango, M. "Stochastic Navier–Stokes variational inequalities with unilateral boundary conditions: probabilistic weak solvability." Ukrains’kyi Matematychnyi Zhurnal 75, no. 4 (2023): 523–41. http://dx.doi.org/10.37863/umzh.v75i4.6665.

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UDC 519.21 We initiate the investigation of stochastic Navier–Stokes variational inequalities involving unilateral boundary conditions and nonlinear forcings driven by Wiener processes for which we establish the existence of a probabilistic weak (or martingale) solution. Our approach involves an intermediate penalized problem whose weak solution is obtained by means of Galerkin's method in combination with some analytic and probabilistic compactness results. The required probabilistic weak solution of the stochastic Navier–Stokes variational inequality is consecutively obtained through the lim

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Wu, Yirong, and Heyu Wang. "Moving Mesh Finite Element Method for Unsteady Navier-Stokes Flow." Advances in Applied Mathematics and Mechanics 9, no. 3 (2017): 742–56. http://dx.doi.org/10.4208/aamm.2016.m1457.

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AbstractIn this paper, we use moving mesh finite element method based upon 4P1–P1 element to solve the time-dependent Navier-Stokes equations in 2D. Two-layer nested meshes are used including velocity mesh and pressure mesh, and velocity mesh can be obtained by globally refining pressure mesh. We use hierarchy geometry tree to store the nested meshes. This data structure make convienence for adaptive mesh method and the construction of multigrid preconditioning. Several numerical problems are used to show the effect of moving mesh.

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Ha, Tae-Min, Hyung-Jun Kim, and Yong-Sik Cho. "Numerical Simulation of Solitary Wave Run-up with an Internal Wave-Maker of Navier-Stokes Equations Model." Journal of Korea Water Resources Association 43, no. 9 (2010): 801–11. http://dx.doi.org/10.3741/jkwra.2010.43.9.801.

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Seo, J. H., and D. J. Kang. "NAVIER-STOKES SIMULATION OF A VISCOUS MICRO PUMP WITH A SPIRAL CHANNEL." Journal of computational fluids engineering 16, no. 1 (2011): 90–95. http://dx.doi.org/10.6112/kscfe.2011.16.1.090.

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Wu, Jiahong, and Kazuo Yamazaki. "Convex integration solution of two-dimensional hyperbolic Navier–Stokes equations^*." Nonlinearity 37, no. 11 (2024): 115014. http://dx.doi.org/10.1088/1361-6544/ad7f18.

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Abstract Hyperbolic Navier–Stokes equations replace the heat operator within the Navier–Stokes equations with a damped wave operator. Due to this second-order temporal derivative term, there exist no known bounded quantities for its solution; consequently, various standard results for the Navier–Stokes equations such as the global existence of a weak solution, that is typically constructed via Galerkin approximation, are absent in the literature. In this manuscript, we employ the technique of convex integration on the two-dimensional hyperbolic Navier–Stokes equations to construct a weak solut

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Acevedo Tapia, P., C. Amrouche, C. Conca, and A. Ghosh. "Stokes and Navier-Stokes equations with Navier boundary conditions." Journal of Differential Equations 285 (June 2021): 258–320. http://dx.doi.org/10.1016/j.jde.2021.02.045.

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Acevedo, Paul, Chérif Amrouche, Carlos Conca, and Amrita Ghosh. "Stokes and Navier–Stokes equations with Navier boundary condition." Comptes Rendus Mathematique 357, no. 2 (2019): 115–19. http://dx.doi.org/10.1016/j.crma.2018.12.002.

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Maw, Yu Yu, and Min Thaw Tun. "SENSITIVITY ANALYSIS OF ANGLE, LENGTH AND BRIM HEIGHT OF THE DIFFUSER FOR THE SMALL DIFFUSER AUGMENTED WIND TURBIN." ASEAN Engineering Journal 11, no. 4 (2021): 280–91. http://dx.doi.org/10.11113/aej.v11.18102.

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This paper presents the performance of the diffuser augmented wind turbine (DAWT) with the various diffuser shapes using the numerical investigations. DAWT is also a type of wind turbine and the diffuser shapes, the nozzle shapes and the cylindrical shapes are commonly inserted around the horizontal axis wind turbine (HAWT) to become the more efficient wind turbine. The aim of this study is to find the more efficient design of the diffuser for the horizontal axis wind turbine using the numerical investigations. In this research, the converging and diverging diffuser shape is inserted and the a

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XU, Hongmei, and Xiaoxiao GUO. "Time Decay of Linearized Isentropic 2D Bipolar Navier-Stokes-Poisson System." Wuhan University Journal of Natural Sciences 30, no. 2 (2025): 103–10. https://doi.org/10.1051/wujns/2025302103.

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Cauchy problem for the linearized bipolar isentropic Navier-Stokes-Poisson system in [see formula in PDF] is studied. Through the reformulation of unknown functions, we change the formal system into a linearized Navier-Stokes system and a unipolar Navier-Stokes-Poisson system. Based on a delicate analysis of the corresponding Green function, [see formula in PDF] decay estimate of the solution is obtained.

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Youssef, Hairch, Abderrahmane Elmelouky, Mohamed Louzazni, Fouad Belhora, and Mohamed Monkade. "A numerical study of interface dynamics in fluid materials." Matériaux & Techniques 112, no. 4 (2024): 401. http://dx.doi.org/10.1051/mattech/2024018.

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This paper deals with the approximation of the dynamics of two fluids having non-matching densities and viscosities. The modeling involves the coupling of the Allen-Cahn equation with the time-dependent Navier-Stokes equations. The Allen-Cahn equation describes the evolution of a scalar order parameter that assumes two distinct values in different spatial regions. Conversely, the Navier-Stokes equations govern the movement of a fluid subjected to various forces like pressure, gravity, and viscosity. When the Allen-Cahn equation is coupled with the Navier-Stokes equations, it is typically done

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