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16 articles for “Navier-stokes”
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Research ArticleOpen accessPhrase in the titleOn a Problem Connected with Navier-stokes Equations in Non Cylindrical DomainsJ. Limaco, S. B. de Menezes, C. Vaz, J. F. MontenegroIn this study we showed the existence of weak solutions of equations that represent flows of a non-homogeneous viscous incompressible fluids in a non cylindrical domain in R3 . The classical Navier-stokes equation is a particular case of the equations here considered. …Journal of Mathematics and Statistics, Vol. 1, Issue 1 · 31 Mar 2005 · 6,610 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleON THE RELIABILITY OF REYNOLDS-AVERAGED NAVIER STOKES PREDICTION OF MEAN FLOW CHARACTERISTICS OF A RECTANGULAR TURBULENT JET IN CROSSFLOWE. Khali, Y. F. YaoA jet of fluid discharging into a cross stream, also known as Jet In Crossflow (JICF), has received many experimental and numerical investigations. In addition to the fundamental understanding of three-dimensional mixing and shear flow characteristics, the fluid dynamics research community often regarded it as a benchmark test case for validating turbulence models. Although many authors considered the canonical case … …American Journal of Applied Sciences, Vol. 11, Issue 9 · 30 Sep 2014 · 6,958 accessesView PDFCite
Research ArticleOpen accessIn the keywordsON SOLUTIONS IN THE HYDRODYNAMIC APPROXIMATION OF SOLAR AND STELLAR WINDS WITH VISCOSITYPanagiotis N. Koumantos, Panaiotis K. Pavlakos, Xenophon D. MoussasIn this article we present some results in existence and uniqueness of strong and classical solutions of the hydrodynamic equations modeling solar and stellar winds. The system of Navier-Stokes equations for solar and stellar winds is considered in its corresponding differential evolution equation form (d/dt+A)υ(t) = F(υ(t), t), where F is a given non-linear function and -A is the infinitesimal … …Physics International, Vol. 5, Issue 2 · 30 May 2014 · 7,553 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Comparative Study of Block Preconditioners for Incompressible Flow ProblemsJia LiuProblem statement: We consider the numerical solvers for the linearized Navier-Stokes problem. Both the Stokes problem and Oseen problems are considered. Approach: We used the Mark and Cell (MAC) discretization method to discretize the Navier-Stokes equations. We used preconditioned Krylov subspace methods to solve the resulting linear systems. Results: Numerical experimental results are performed to compare the different preconditioners. Conclusion: … …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 14 Sep 2011 · 7,063 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOptimal Boundary Control of the Incompressible Fluid Problems in Rotation formJia LiuProblem Statement: We consider the optimal boundary control of the linearized Navier-Stokes problem. Both the Stokes problem and Oseen problem in rotation form are considered. Approach: We use the Mark and Cell (MAC) discretization method to discretize the optimization problem with linear constraints including the Stokes problem and the Oseen problem in rotation from. Then Reduced Hessian methods are to … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,277 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA New Method for Constructing the Coefficients of Pressure Correction Equation for Colocated Unstructured GridsR. Rafee, H. RahimzadehOne of the important equations in numerical solution of Navier Stokes equations is the pressure correction equation. In this article, a new method for constructing the coefficients of this equation for colocated unstructured meshes is proposed. This method is based on momentum interpolation. The method is compared with the approach adopted in literature. The complete discretization of the Navier Stokes … …American Journal of Applied Sciences, Vol. 6, Issue 1 · 31 Jan 2009 · 7,137 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Wing Tip Flow Around a Low Aspect Ratio Wing at Low Flight Speeds Using OpenFOAM® and Parallel ProcessingNikolaos Konstantinos Lampropoulos, Ioannis Eleftherios SarrisIn the present study, the effect of the wing tip geometry on the aerodynamic performance of a swept-back wing at moderate Reynolds numbers is investigated through numerical simulation and parallel processing. The aim is the identification of streamlines around the wing and subsequently the formation of the wing tip vortex. Due to the purely three-dimensional character of the flow, the … …Journal of Aircraft and Spacecraft Technology, Vol. 9, Issue 1 · 31 Jan 2025 · 9,538 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Solution to Some Hypersingular Integral EquationsAlexander G. RammGel’fand, I. M., & Shilov, G. E. (1964). Generalized Functions. Volume I: Properties and Operations (1st ed., Vol. 1). Academic Press. Hörmander, L. (1998). The Analysis of Linear Partial Differential Operators I (1st ed.). Springer Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96750-4 Ramm, A. G. (2022). The Navier-Stokes Problem (2nd ed.). Springer Nature. Ramm, A. G. (2023). Analysis of the Navier-Stokes problem (2nd ed.). … …Journal of Mathematics and Statistics, Vol. 20, Issue 1 · 25 May 2024 · 5,683 accessesView PDFCite
Research ArticleOpen accessIn the abstractSimple Improvement of Momentum Interpolation Equation for Navier-Stoke Equation Solver on Unstructured GridAdek TasriProblem statement: Pressure and velocity decoupling have been source of problem in solving Navier-Stokes and continuity equation particularly in complex collocated grid. The problem of pressure velocity decoupling is usually reduced by using momentum interpolation to calculate mass flux at face of control volume. Equation of momentum interpolation was derived by assumption that the face of cell is equidistant from … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,858 accessesView PDFCite
Research ArticleOpen accessIn the abstractWall Shear Stress Distribution in Patient Specific Coronary Artery BifurcationVahab Dehlaghi, Frank GijsenProblem statement: Atherogenesis is affected by hemodynamic parameters, such as wall shear stress and wall shear stress spatial gradient. These parameters are largely dependent on the geometry of arterial tree. Arterial bifurcations contain significant flow disturbances. Approach: The effects of branch angle and vessel diameter ratio at the bifurcations on the wall shear stress distribution in the coronary arterial tree … …American Journal of Applied Sciences, Vol. 7, Issue 9 · 30 Sep 2010 · 7,365 accessesView PDFCite