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11 results for “stokes problem”
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Research ArticleOpen accessEvery word 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 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 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
Research ArticleOpen accessIn the abstractNumerical Modeling of Flow in a Horizontal Sand FilterRuth Mossad, Hal AralProblem statement: Horizontal sand filters may offer some advantage over vertical sand filters as they could be used for in-line treatment of wastewaters. Horizontal pipelines of tens and if not hundreds of meters length, filled with ordinary sand or permeable reactive media such as activated carbon or natural zeolite or iron filings, may be used to remove impurities from mine … …American Journal of Engineering and Applied Sciences, Vol. 3, Issue 2 · 30 Jun 2010 · 7,502 accessesView PDFCite
Research ArticleOpen accessIn the abstractAnalysis of Blood Turbulent Flow in Carotid Artery Including the Effects of Mural Thrombosis Using Finite Element ModelingM. Arab-Ghanbari, M. M. Khani, A. Arefmanesh, F. Tabatabai-GhomsheArterial thrombosis is an extremely significant health problem. As a result of numerous factors involved in such problem, describing the role of hemodynamics in thrombogenesis has been asserted to be one of the most demanding and complicated challenges in biomechanics. An axisymmetric model considering fluid-structure interactions (FSI) was introduced and numerically solved for an artery with a thrombosis to perform … …American Journal of Applied Sciences, Vol. 6, Issue 2 · 28 Feb 2009 · 7,408 accessesView PDFCite
Research ArticleOpen accessIn the abstractA 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 abstractFlow Characteristics in Elastic Arteries Using a Fluid-Structure Interaction ModelH. Niroomand Oscuii, M. Tafazzoli Shadpour, Farzan GhalichiIn this study the interaction of blood flow with arterial wall has been investigated using FSI (Fluid-Structure Interaction) modeling. Computer simulation of pulsatile blood flow was carried out on the basis of the time dependent axisymmetric Navier-Stokes equations for an incompressible Newtonian fluid flow. An elastic incompressible material with large deformation was considered for the arterial wall and momentum and … …American Journal of Applied Sciences, Vol. 4, Issue 8 · 31 Aug 2007 · 7,429 accessesView PDFCite