Analytical Equations for Thermoacoustic Instability Sources and Acoustic Radiation from Reacting Turbulence by S. A. E. Miller

“…We present a new theory based on the decomposition of the Navier-Stokes equations coupled with the mass fraction equations. …”
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Stability Analysis of Symmetrical Rotors Partially Filled with a Viscous Incompressible Fluid by Zhu Changsheng

“…On the basis of the linearized fluid forces acting on the rotor obtained directly by using the two-dimensional Navier-Stokes equations, the stability of symmetrical rotors with a cylindrical chamber partially filled with a viscous incompressible fluid is investigated in this paper. …”
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Stochastic 2D Incompressible Navier-Stokes Solver Using the Vorticity-Stream Function Formulation by Mohamed A. El-Beltagy, Mohamed I. Wafa

“…A two-dimensional stochastic solver for the incompressible Navier-Stokes equations is developed. The vorticity-stream function formulation is considered. …”
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Fully Discrete Finite Element Approximation for the Stabilized Gauge-Uzawa Method to Solve the Boussinesq Equations by Jae-Hong Pyo

“…The stabilized Gauge-Uzawa method (SGUM), which is a 2nd-order projection type algorithm used to solve Navier-Stokes equations, has been newly constructed in the work of Pyo, 2013. …”
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Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s Equation by Bertha K. Rodriguez-Chavez, Yessica E. Zarate-Pedrera

“…This equation has been of considerable physical interest as it can be regarded as a simplified version of the Navier-Stokes equations. Through this study, the spectral differentiation method and its convergence were described; additionally, the mimetic method and the use of the MOLE library for numerically solving the scalar Burger’s equation were presented.…”
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Numerical Simulation of Combustion and Rotor-Stator Interaction in a Turbine Combustor by Dragos D. Isvoranu, Paul G. A. Cizmas

“…The flow and combustion are modeled by the Reynolds-averaged Navier-Stokes equations coupled with the species-conservation equations. …”
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Large Scale Simulation of Hydrogen Dispersion by a Stabilized Balancing Domain Decomposition Method by Qing-He Yao, Xin Pan

“…The linear systems of Navier-Stokes equations and the convection diffusion equation are symmetrized by a pressure stabilized Lagrange-Galerkin method, and thus a balancing domain decomposition method is enabled to solve the interface problem of the domain decomposition system. …”
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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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