Exploring the impact of adenoid obstruction on the human nasal airflow through parallel computational fluid dynamics by Zhengzheng Yan, Xinhong Wang, Rongliang Chen

“…The three‐dimensional, incompressible Navier‐Stokes equations were discretized employing a stabilized P1−P1 finite element method on unstructured meshes, along with an implicit second‐order backward differentiation formula. …”
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Improving Forecasting Ability of GITM Using Data‐Driven Model Refinement by Brandon M. Ponder, Aaron J. Ridley, Ankit Goel, D. S. Bernstein

“…These may stem from inaccurate approximations of terms in the Navier‐Stokes equations, unmodeled physics, incorrect boundary conditions, or incorrect parameterizations. …”
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Numerical Analysis of Hydrodynamics for Bionic Oscillating Hydrofoil Based on Panel Method by Gang Xue, Yanjun Liu, Muqun Zhang, Hongpeng Ding

“…The Panel method is applied to the hydrodynamic performance analysis innovatively, with the Gauss-Seidel method to solve the Navier-Stokes equations additionally, to evaluate the flexible deformation of fish in swimming accurately when satisfying the boundary conditions. …”
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On Behavioral Response of 3D Squeezing Flow of Nanofluids in a Rotating Channel by Mubashir Qayyum, Omar Khan, Thabet Abdeljawad, Naveed Imran, Muhammad Sohail, Wael Al-Kouz

“…In this article, a behavioral study of three-dimensional (3D) squeezing flow of nanofluids with magnetic effect in a rotating channel has been performed. Using Navier–Stokes equations along with suitable similarity transformations, a nonlinear coupled ordinary differential system has been derived which models the 3D squeezing flow of nanofluids with lower permeable stretching porous wall where the channel is also rotating. …”
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Spectral Element Numerical Investigation of Flow between Three Cylinders in an Equilateral-Triangular Arrangement with Different Spacing Distances by Zhenzhong Bao, Guoliang Qin, Wenqiang He, Yazhou Wang

“…Two-dimensional incompressible Navier-Stokes equations are numerically solved using the high resolution spectral element method at Reynolds number 200. …”
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Understanding the Seismic Resilience of Metallic Cylindrical Tanks Through Parametric Analysis by Emanuele Brunesi, Roberto Nascimbene, Dumitru Beilic

“…Nonlinear fluid–structure interaction (FSI) was modeled using an Arbitrary Lagrangian–Eulerian (ALE) formulation with the Navier–Stokes equations governing the fluid motion and material and geometric nonlinearities considered in the tank walls. …”
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Numerical Modeling of Tsunami Waves Interaction with Porous and Impermeable Vertical Barriers by Manuel del Jesus, Javier L. Lara, Inigo J. Losada

“…The use of numerical models based on the Navier-Stokes equations appears as a reasonable approach due to their ability to evaluate complex flow patterns around coastal structures without the inherent limitations of the classical depth-averaged models. …”
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Flow optimization in vascular networks by Radu C. Cascaval, Ciro D'Apice, Maria Pia D'Arienzo, Rosanna Manzo

“…Detailed $3$D studies of flow in the arterial system based on the Navier-Stokes equations require high computational power, hence reduced models are often used, both for the constitutive laws and the spatial domain. …”
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Aerodynamic Performance of Different Trailing-edge Serrations for High Reynolds Number Flows around Wing-flap System by S. Ahmadkhah, A. Jahangirian, A. Zarinvafa

“…The flow at Mach number 0.185 and the Reynolds number 2.51 million is calculated by numerical solution of incompressible Navier-Stokes equations using k-ϵ realizable turbulence model. …”
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Numerical Study of the Aerodynamics of a Hovering Hummingbird’s Wing with Dynamic Morphing by Yuanbo Dong, Bifeng Song, Dong Xue, Yuanbo Li, Wenqing Yang

“…To deepen our understanding of the aerodynamics by which hummingbirds use flexible wings to hover efficiently during flapping flight, a three-dimensional wing model with dynamic morphing was developed according to the morphological and kinematic data of a hovering hummingbird’s wing. Navier-Stokes equations were solved on a dynamically deforming grid to study wing aerodynamics. …”
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Influence of Inlet Angle of Guide Vane on Hydraulic Performance of an Axial Flow Pump Based on CFD by Lei Xu, Dongtao Ji, Wei Shi, Bo Xu, Weigang Lu, Linguang Lu

“…In order to improve the hydraulic performance of pump under off-design working conditions, the influence of the inlet segment axial chord and inlet angle adjustment of the guide vane on the pump segment efficiency and flow filed was simulated by using the renormalization group (RNG) k−ε turbulent model based on the Reynolds-averaged Navier–Stokes equations. The results indicate that the inlet segment axial chord and inlet angle adjustment of guide vane have a strong influence on the pump segment efficiency. …”
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Effect of Lower Surface Roughness on Nonlinear Hydraulic Properties of Fractures by Jinglong Li, Xianghui Li, Bo Zhang, Bin Sui, Pengcheng Wang, Mi Zhang

“…The flow is modeled with hydraulic pressure drop=10−4~105 Pa/m by solving the Navier-Stokes equations based on rough fracture models with lower surface roughness varying from JRC=1 to JRC=19. …”
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Efficiency-House Optimization to Widen the Operation Range of the Double-Suction Centrifugal Pump by Wenjie Wang, Majeed Koranteng Osman, Ji Pei, Shouqi Yuan, Jian Cao, Fareed Konadu Osman

“…The pump performance is predicted using three-dimensional Reynolds-averaged Navier–Stokes equations which is validated by the experimental test. …”
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Design and optimization of a spiral separator for enhanced chromite recovery and sustainability by Navid Hosseini Alaee, Jafar Sargheyni, Mehdi Pezeshkan, Pooria Kianoush

“…Utilizing advanced mathematical modeling techniques, including Reynolds-averaged turbulent Navier-Stokes equations and the Bagnold effect, the study simulates slurry behavior on the spiral separator's surface and the segregation of light and heavy materials. …”
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Mathematical and Experimental Simulation of Operating Modes of Capillary Emitter of Electrostatic Colloidal Microthruster by S. V. Redko, E. B. Chubenko, V. P. Bondarenko, I. V. Nikiforov, M. S. Krakov

“…For the system of Navier – Stokes equations, the projection method proposed by Chorin is applied. …”
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Nanoconfined Water in Shales and Its Impact on Real Gas Flow by Yudan Li, Shaohua Gu, Cheng Dai

“…Incorporating modified boundary conditions into the Navier-Stokes equations, gas transport model through single organic/inorganic pore is derived. …”
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Finite Element Analysis of Fluid Flow through the Screen Embedded between Parallel Plates with High Reynolds Numbers by Abid A. Memon, Hammad Alotaibi, M. Asif Memon, Kaleemullah Bhatti, Gul M. Shaikh, Ilyas Khan, A. A. Mousa

“…The two-dimensional incompressible Navier Stokes equations are worked out making use of the popular software COMSOL MultiPhysics version 5.4 which implements the Galerkin’s least square scheme to discretize the governing set of equations into algebraic form. …”
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Multigoal-oriented a posteriori error control for heated material processing using a generalized Boussinesq model by Beuchler, Sven, Endtmayer, Bernhard, Lankeit, Johannes, Wick, Thomas

“…Therein, the stationary Navier–Stokes equations are coupled with a stationary heat equation. …”
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Some features of implementation of design model of high-pressure centrifugal compressor stage with inlet guide vanes by V. V. Karabanova, A. D. Vanyashov, V. L. Yusha

“…The flow study is performed using the Navier-Stokes equations, closed by the Shear Stress Transport (SST) turbulence model. …”
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Smooth imploding solutions for 3D compressible fluids by Tristan Buckmaster, Gonzalo Cao-Labora, Javier Gómez-Serrano

“…In addition, we provide simplified proofs of linear stability [67] and nonlinear stability [69], which allow us to construct asymptotically self-similar imploding solutions to the compressible Navier-Stokes equations with density independent viscosity for the case $\gamma =\frac 75$ . …”
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