Lift Enhancement of Tiltrotor Wing Using a Gurney Flap by Hao Chen, Bo Chen

“…The heights of Gurney flaps range from 1 to 4% wing chord lengths. The Navier-Stokes equations with the Spalart-Allmaras turbulence model were solved to simulate the flow structure around the Gurney flap. …”
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Analytical Solution of Heat Conduction from Turbulence with an Isotropic Example by Steven A. E. Miller

“…In this paper, the heat generated and convected by fluid turbulence is examined by rearranging the Navier-Stokes equations into a single equation for the fluctuating dependent variables external to unsteady chaotic motions. …”
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Refinement of a Previous Hypothesis of the Lyapunov Analysis of Isotropic Turbulence by Nicola de Divitiis

“…There, the analytical expression of the structure function of the longitudinal velocity difference Δur is derived through a statistical analysis of the Fourier transformed Navier-Stokes equations and by means of considerations regarding the scales of the velocity fluctuations, which arise from the Kolmogorov theory. …”
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Effect of branchings on blood flow in the system of human coronary arteries by Benchawan Wiwatanapataphee, Yong Hong Wu, Thanongchai Siriapisith, Buraskorn Nuntadilok

“…The transient phenomena ofblood flow through the coronary system are simulated by solving thethree dimensional unsteady state Navier-Stokes equations andcontinuity equation. Distributions of velocity, pressure and wallshear stresses are determined in the system under pulsatileconditions on the boundaries. …”
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Incompressible flows and the Boussinesq approximation: 50 years of CFD by Lappa, Marcello

“…We offer a synthetic exposition on the state of the art for Computational Fluid Dynamics (CFD) relevant to the Navier–Stokes equations with the Boussinesq approximation, smoothly blending a history of the field with an accessible exposition of the underlying mathematical rationale, supporting theorems and a survey of the landmark results on the subject. …”
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Advanced MicroCT Analysis of Lacustrine Carbonate Reservoirs for Fluid Flow Simulation by Olga M. O. Araújo, Alessandra Silveira Machado, Davi F. Oliveira, Ricardo Tadeu Lopes

“…In this study, we perform digital rock analysis to investigate fluid flow by solving the Navier-Stokes equations in representative elementary volume (REV), applying this methodology to different regions of the sample. …”
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Numerical Study on Effects of Arrayed Pulsed Energy Depositions on a Supersonic Combustor by Zilin Cai, Feng Gao, Hongyu Wang, Cenrui Ma

“…In the simulation, the Navier-Stokes equations with an energy source are solved to simulate the effects of energy depositions in various distributions on the fuel mixture in the combustor. …”
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CFD Analysis of the First-Stage Rotor and Stator in a Two-Stage Mixed Flow Pump by Steven M. Miner

“…The code solves the 3D Reynolds-averaged Navier-Stokes equations in rotating and stationary cylindrical coordinate systems for the rotor and stator, respectively. …”
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Development of a Particle Interaction Kernel Function in MPS Method for Simulating Incompressible Free Surface Flow by Tony W. H. Sheu, Chenpeng Chiao, Chinlong Huang

“…To predict a computationally more accurate moving particle solution for the Navier-Stokes equations, kernel function is a key to success in the development of interaction model. …”
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Numerical Simulation of Sloshing Phenomena in Cubic Tank with Multiple Baffles by Mi-An Xue, Jinhai Zheng, Pengzhi Lin

“…A two-phase fluid flow model solving Navier-Stokes equations was employed in this paper to investigate liquid sloshing phenomena in cubic tank with horizontal baffle, perforated vertical baffle, and their combinatorial configurations under the harmonic motion excitation. …”
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Hypersonic Flow Field Reconfiguration and Drag Reduction of Blunt Body with Spikes and Sideward Jets by Guilai Han, Zonglin Jiang

“…Flow field reconfiguration and drag reduction have been investigated by numerically solving Navier-Stokes equations, with the 2nd order dispersion controlled dissipative scheme adopted for the convective term discretion and the 2nd order central difference scheme for viscous term. …”
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Simulation of Pulsatile Flow of Blood in Stenosed Coronary Artery Bypass with Graft by B. Wiwatanapataphee, D. Poltem, Yong Hong Wu, Y. Lenbury

“…The transientphenomena of blood flow though the stenosed region and the bypassgrafts are simulated by solving the threedimensional unsteady Navier-Stokes equations and continuityequation. The influence of the bypass angle on the flowinteraction between the jet flow from the native artery and theflow from the bypass graft is investigated. …”
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Numerical Simulation of Ground Effect on Circulation Control Airfoil by Quanbing Sun, Zhiwei Shi, Weilin Zhang, Zhikun Sun, Yongliang Chen

“…The compressible Reynolds-averaged Navier–Stokes equations with the shear-stress transport k−ω turbulence model equations are solved using the Finite Volume Method (FVM). …”
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Parametric Studies of Flat Plate Trajectories Using VIC and Penalization by François Morency, Héloïse Beaugendre

“…The rigid moving solid effects are modelled in the Navier-Stokes equations using penalization. A VIC scheme is used to solve the flow equations. …”
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Effect of the Radial Pressure Gradient on the Secondary Flow Generated in an Annular Turbine Cascade by Hesham M. El-Batsh

“…The three-dimensional Reynolds Averaged Navier Stokes equations were solved to understand flow physics. …”
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Unbounded-energy solutions to the fluid+disk system and long-time behavior for large initial data by Ferriere, Guillaume, Hillairet, Matthieu

“…Doing so, we introduce a further nonlinearity to the classical Navier Stokes equations. In comparison with the classical nonlinearities, this new term lacks time and space integrability, thus complicating strongly the analysis of the long-time behavior of solutions.We provide herein two refined tools: a refined analysis of the Gagliardo–Nirenberg inequalities and a thorough description of fractional powers of the so-called fluid-structure operator [2]. …”
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Simulation of Turbulent Wake at Mixing of Two Confined Horizontal Flows by Rok Krpan, Boštjan Končar

“…The numerical simulations are performed with the open source code OpenFOAM using two different approaches for turbulence modelling, Reynolds Averaged Navier Stokes equations (RANS) and Large Eddy Simulation (LES). …”
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iRheoFoam: A package for simulating complex planar interfaces by Adolfo Esteban, Julio Hernández, Javier Tajuelo, Miguel Ángel Rubio

“…It is based on the Boussinesq–Scriven constitutive law and the Navier–Stokes equations, includes various solvers for both time-dependent and steady problems, and allows easy incorporation of new interface models and solvers, making it a versatile and powerful tool.…”
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Effects of Hydrostatic Pocket Shape on the Flow Pattern and Pressure Distribution by M. J. Braun, M. Dzodzo

“…The flow in a hydrostatic pocket is numerically simulated using a dimensionless formulation of the 2-D Navier-Stokes equations written in primitive variables, for a body fitted coordinates system, and applied through a collocated grid. …”
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Numerical Simulation of Unsteady Compressible Flow in Convergent Channel: Pressure Spectral Analysis by Petra Pořízková, Karel Kozel, Jaromír Horáček

“…The flow is described by the system of Navier-Stokes equations for laminar flows. The numerical solution is implemented using the finite volume method (FVM) and the predictor-corrector Mac-Cormack scheme with Jameson artificial viscosity using a grid of quadrilateral cells. …”
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