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Relevant bibliographies by topics / Stokes' method

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Academic literature on the topic 'Stokes' method'

Author: Grafiati

Published: 5 June 2025

Last updated: 1 August 2025

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Journal articles on the topic "Stokes' method"

1

Vermeulen, N., C. Debaes, A. A. Fotiadi, K. Panajotov, and H. Thienpont. "Stokes-Anti-Stokes Iterative Resonator Method for Modeling Raman Lasers." IEEE Journal of Quantum Electronics 42, no. 11 (2006): 1144–56. http://dx.doi.org/10.1109/jqe.2006.883469.

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Zhang, Shu Hua, Xiao Jing Yuan, and Qian Yin. "Discontinuous Galerkin (DG) Finite Element Method for the Improved Stokes Equations." Advanced Materials Research 250-253 (May 2011): 291–97. http://dx.doi.org/10.4028/www.scientific.net/amr.250-253.291.

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In this paper, firstly, discontinuous Galerkin method for improved Stokes equation is proposed. We derive a discontinuous Galerkin (DG) finite element formulation for the improved Stokes equations. Special case of the generalized solution equation for linear and stationary improved Stokes equations retrogresses into generalized solution equation for classical Stokes equation. It is proved that the classical solution and the generalized solution is consistent for the improved Stokes equations, existence and uniqueness of generalized solution for the improved Stokes equations are also proved.

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DE OLIVEIRA, P. M. C. "RELAXATION METHOD FOR NAVIER–STOKES EQUATION." International Journal of Modern Physics C 23, no. 04 (2012): 1250021. http://dx.doi.org/10.1142/s0129183112500210.

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The motivation for this work was a simple experiment [P. M. C. de Oliveira, S. Moss de Oliveira, F. A. Pereira and J. C. Sartorelli, preprint (2010), arXiv:1005.4086], where a little polystyrene ball is released falling in air. The interesting observation is a speed breaking. After an initial nearly linear time-dependence, the ball speed reaches a maximum value. After this, the speed finally decreases until its final, limit value. The provided explanation is related to the so-called von Kármán street of vortices successively formed behind the falling ball. After completely formed, the whole st

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Abboud, Toufic, Michel Salaun, and Stéphanie Salmon. "Integral method for the Stokes problem." Comptes Rendus Mathematique 334, no. 1 (2002): 71–76. http://dx.doi.org/10.1016/s1631-073x(02)02222-7.

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Choe, Hi Jun, and Jeong Ho Chu. "A spectral method for Stokes equations." Applied Mathematics and Computation 104, no. 2-3 (1999): 131–51. http://dx.doi.org/10.1016/s0096-3003(98)10062-0.

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Abramov, V. I., and B. B. Tagunov. "Method for calibration of stokes radiopolarimeter." Measurement Techniques 34, no. 1 (1991): 83–87. http://dx.doi.org/10.1007/bf00978301.

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Park, Chunjae. "P1-nonconforming divergence-free finite element method on square meshes for Stokes equations." Journal of Numerical Mathematics 28, no. 4 (2020): 247–61. http://dx.doi.org/10.1515/jnma-2019-0056.

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AbstractRecently, the P1-nonconforming finite element space over square meshes has been proved stable to solve Stokes equations with the piecewise constant space for velocity and pressure, respectively. In this paper, we will introduce its locally divergence-free subspace to solve the elliptic problem for the velocity only decoupled from the Stokes equation. The concerning system of linear equations is much smaller compared to the Stokes equations. Furthermore, it is split into two smaller ones. After solving the velocity first, the pressure in the Stokes problem can be obtained by an explicit

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Nafa, Kamel. "Analysis of Subgrid Stabilization Method for Stokes-Darcy Problems." Advances in Numerical Analysis 2016 (September 22, 2016): 1–9. http://dx.doi.org/10.1155/2016/7389102.

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A number of techniques, used as remedy to the instability of the Galerkin finite element formulation for Stokes like problems, are found in the literature. In this work we consider a coupled Stokes-Darcy problem, where in one part of the domain the fluid motion is described by Stokes equations and for the other part the fluid is in a porous medium and described by Darcy law and the conservation of mass. Such systems can be discretized by heterogeneous mixed finite elements in the two parts. A better method, from a computational point of view, consists in using a unified approach on both subdom

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Sene, Ndolane. "Integral Balance Methods for Stokes’ First Equation Described by the Left Generalized Fractional Derivative." Physics 1, no. 1 (2019): 154–66. http://dx.doi.org/10.3390/physics1010015.

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In this paper, the integral balance methods of the Stokes’ first equation have been presented. The approximate solution of the fractional Stokes’ first equation using the heat balance integral method has been proposed. The approximate solution of the fractional Stokes’ first equation using the double integral methods has been proposed. The generalized fractional time derivative operator has been used. The graphical representations of the cubic profile and the quadratic profile for the Stokes’ first problem have been provided. The impacts of the orders of the generalized fractional derivative i

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He, Yinnian. "Finite Element Iterative Methods for the 3D Steady Navier--Stokes Equations." Entropy 23, no. 12 (2021): 1659. http://dx.doi.org/10.3390/e23121659.

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In this work, a finite element (FE) method is discussed for the 3D steady Navier–Stokes equations by using the finite element pair Xh×Mh. The method consists of transmitting the finite element solution (uh,ph) of the 3D steady Navier–Stokes equations into the finite element solution pairs (uhn,phn) based on the finite element space pair Xh×Mh of the 3D steady linearized Navier–Stokes equations by using the Stokes, Newton and Oseen iterative methods, where the finite element space pair Xh×Mh satisfies the discrete inf-sup condition in a 3D domain Ω. Here, we present the weak formulations of the

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Dissertations / Theses on the topic "Stokes' method"

1

Bochev, Pavel B. "Least squares finite element methods for the Stokes and Navier-Stokes equations." Diss., This resource online, 1994. http://scholar.lib.vt.edu/theses/available/etd-06062008-165910/.

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Shah, Tasneem Mohammad. "Analysis of the multigrid method." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.253425.

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Le, Goff Jean-Marie. "Navier-Stokes modellingof offshore wind turbinesusing the SPH method." Thesis, KTH, Skolan för industriell teknik och management (ITM), 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-216161.

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Clark, Philip James. "The finite element method applied to Stokes wave diffraction." Thesis, University of Newcastle Upon Tyne, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.334677.

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Marx, Yves. "Etude d'algorithmes pour les equations de navier-stokes compressibles." Nantes, 1987. http://www.theses.fr/1987NANT2039.

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On presente une methode numerique du type volumes finis. On obtient une precision du second ordre en utilisant des champs evoluant lineairement a l'interieur de chaque maille. Validation de la methode sur le cas test de la tuyere a double col

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Rahmati, M. T. "Incompressible Navier-Stokes inverse design method based on unstructured meshes." Thesis, University College London (University of London), 2006. http://discovery.ucl.ac.uk/1445805/.

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Two inverse methods for turbomachinery blade design are developed. In these inverse design approaches blade shapes are computed for a specified design parameter such as mass-averaged tangential velocity or pressure loading distribution. These inverse methods directly define a geometry needed to obtain these prescribed target design parameters which are related to the performance of turbomachinery blades. The first method is based on the prescription of pressure loading on the blade while the second method is based on the prescription of mass-averaged tangential velocity on the blade. In both m

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Whitney, John Peter 1982. "A Perfectly Matched Layer Method for the Navier-Stokes equations." Thesis, Massachusetts Institute of Technology, 2006. http://hdl.handle.net/1721.1/35558.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2006.<br>Includes bibliographical references (p. 49-51).<br>The Perfectly Matched Layer Method (PML) has found widespread application as a high-accuracy, non-reflecting boundary treatment in many wave propagation simulations. However, in the area of computational fluid dynamics, its application has been mostly limited to the linearized Euler equations. Attempts to apply PML to the nonlinear Euler equations have found a tendency for the method to go unstable. Even so, in light of the method's computatio

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Talnikar, Chaitanya Anil. "Viscosity stabilized adjoint method for unsteady compressible Navier-Stokes equations." Thesis, Massachusetts Institute of Technology, 2018. http://hdl.handle.net/1721.1/120425.

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This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Thesis: Ph. D. in Computational Science and Engineering, Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2018<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 187-195).<br>Design optimization methods are a popular tool in computational fluid dynamics for designing components or finalizing the flow parameters of a system. The adjoint method accelerates the design process by pr

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Harkin, Anthony. "A Legendre spectral element method for the rotational Navier-Stokes equations." Thesis, Massachusetts Institute of Technology, 1995. http://hdl.handle.net/1721.1/37551.

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Choi, Young Ok. "The Galerkin boundary element method for three-dimensional transient Stokes flow." Thesis, Southern Methodist University, 2015. http://pqdtopen.proquest.com/#viewpdf?dispub=3725258.

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<p>We consider boundary element method (BEM) formulation of three-dimensional transient Stokes flow. We derive a representation of the Stokeslet and stresslet in terms of incomplete gamma functions and investigate the nature of the singularity of the single- and double layer potentials. Further, we derive the Green's representation formula for changing surfaces and investigate a problem with two moving cubes. Nystr\"om discretization does not work well for Stokes flow therefore we develop Galerkin discretization methods. We give analytical formulas for the time integration which results

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Books on the topic "Stokes' method"

1

Jiang, Bo-Nan. Least-squares finite elements for Stokes problem. ICOMP, 1988.

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Bernardi, Christine. Single-grid spectral collocation for the Navier-Stokes equations. ICASE, 1988.

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L, Chang C., and United States. National Aeronautics and Space Administration., eds. Least-squares finite elements for Stokes problem. National Aeronautics and Space Administration, 1989.

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L, Chang C., and United States. National Aeronautics and Space Administration., eds. Least-squares finite elements for Stokes problem. National Aeronautics and Space Administration, 1989.

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5

Landriani, G. Sacchi. A multidomain spectral collocation method for the Stokes problem. National Aeronautics and Space Administration, Langley Research Center, 1989.

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Landriani, G. Sacchi. A multidomain spectral collocation method for the Stokes problem. Institute for Computer Applications in Science and Engineering, 1989.

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Landriani, G. Sacchi. A multidomain spectral collocation method for the Stokes problem. National Aeronautics and Space Administration, Langley Research Center, 1989.

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8

Radespiel, R. A cell-vertex multigrid method for the Navier-Stokes equations. National Aeronautics and Space Administration, Langley Research Center, 1989.

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9

E, Turkel, and United States. National Aeronautics and Space Administration, eds. Pseudo-time algorithms for the Navier-Stokes equations. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1986.

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E, Turkel, and United States. National Aeronautics and Space Administration, eds. Pseudo-time algorithms for the Navier-Stokes equations. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1986.

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Book chapters on the topic "Stokes' method"

1

Di Pietro, Daniele Antonio, and Jérôme Droniou. "Stokes." In The Hybrid High-Order Method for Polytopal Meshes. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-37203-3_8.

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Di Pietro, Daniele Antonio, and Jérôme Droniou. "Navier–Stokes." In The Hybrid High-Order Method for Polytopal Meshes. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-37203-3_9.

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3

Kythe, Prem K., and Dongming Wei. "Stokes Equations and Penalty Method." In An Introduction to Linear and Nonlinear Finite Element Analysis. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8160-9_12.

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4

da Veiga, Lourenço Beirão, Konstantin Lipnikov, and Gianmarco Manzini. "The Stokes problem." In The Mimetic Finite Difference Method for Elliptic Problems. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02663-3_8.

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5

Cuvelier, C., A. Segal, and A. A. van Steenhoven. "The integrated method." In Finite Element Methods and Navier-Stokes Equations. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-010-9333-0_7.

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6

Han, Houde, and Xiaonan Wu. "Global ABCs for the Navier System and Stokes System." In Artificial Boundary Method. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-35464-9_3.

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7

Beam, Richard M., and Harry E. Bailey. "Newton’s Method for the Navier-Stokes Equations." In Computational Mechanics ’88. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-61381-4_385.

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Varnhorn, Werner. "A Numerical Method for Nonstationary Stokes Flow." In Advances in Mathematical Fluid Mechanics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04068-9_33.

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Cuvelier, C., A. Segal, and A. A. van Steenhoven. "The Finite Element Method." In Finite Element Methods and Navier-Stokes Equations. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-010-9333-0_3.

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Cuvelier, C., A. Segal, and A. A. van Steenhoven. "The penalty function method." In Finite Element Methods and Navier-Stokes Equations. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-010-9333-0_8.

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Conference papers on the topic "Stokes' method"

1

Gáspár, Csaba. "A Localized Method of Fundamental Solutions for the Stokes Equations." In 10th International Scientific Conference on Advances in Mechanical Engineering. Trans Tech Publications Ltd, 2025. https://doi.org/10.4028/p-sk5xfk.

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The Method of Fundamental Solution applied to the Stokes equation is investigated. Instead of using the classical approach, the problem is split into several subproblems defined on much smaller subdomains. Each local problem is solved by the Method of Fundamental Solutions. Having solved the local problems, the approximate solution is updated at the central point of the local subdomain. This results in a Seidel-like iterative method, which mimics the classical overlapping Schwarz method. In contrast to the traditional Method of Fundamental Solutions, the resulting localized method avoids the p

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Borges, Luís, and Adélia Sequeira. "Numerical simulation of a viscoelastic fluid with a preconditioned Schwarz method." In Parabolic and Navier–Stokes equations. Institute of Mathematics Polish Academy of Sciences, 2008. http://dx.doi.org/10.4064/bc81-0-4.

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Freeman, G., and G. Scriven. "Streamtube Navier-Stokes method and applications." In 6th Joint Thermophysics and Heat Transfer Conference. American Institute of Aeronautics and Astronautics, 1994. http://dx.doi.org/10.2514/6.1994-2068.

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Zhou, Guodong, Jianhui Li, Yanqiu Li, and Yuanhe Li. "Spectral calibration method for Stokes polarimeter." In Twelfth International Conference on Information Optics and Photonics, edited by Yue Yang. SPIE, 2021. http://dx.doi.org/10.1117/12.2603827.

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Shi, Lei, Zhijian Wang, Song Fu, and Laiping Zhang. "A PNPM-CPR Method for Navier-Stokes Equations." In 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. American Institute of Aeronautics and Astronautics, 2012. http://dx.doi.org/10.2514/6.2012-460.

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Sorensen, N., and M. Hansen. "Rotor performance predictions using a Navier-Stokes method." In 1998 ASME Wind Energy Symposium. American Institute of Aeronautics and Astronautics, 1998. http://dx.doi.org/10.2514/6.1998-25.

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Holmberg, Andreas, Axel Kierkegaard, and Chenyang Weng. "A Linearized Navier-Stokes Method Including Turbulence Damping." In 19th AIAA/CEAS Aeroacoustics Conference. American Institute of Aeronautics and Astronautics, 2013. http://dx.doi.org/10.2514/6.2013-2167.

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MARTINELLI, L., A. JAMESON, and F. GRASSO. "A multigrid method for the Navier Stokes equations." In 24th Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics, 1986. http://dx.doi.org/10.2514/6.1986-208.

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SHIRAYAMA, SUSUMU. "Local network method for incompressible Navier-Stokes equations." In 10th Computational Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 1991. http://dx.doi.org/10.2514/6.1991-1563.

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Varnhorn, W. "An Approximation Method for Non-Stationary Stokes Flow." In Topical Problems of Fluid Mechanics 2023. Institute of Thermomechanics of the Czech Academy of Sciences; CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics, 2023. http://dx.doi.org/10.14311/tpfm.2023.027.

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We consider a rst order implicit time stepping procedure (Euler scheme) for the non-stationary Stokes equations in smoothly bounded domains of R³. Using energy estimates we can prove optimal convergence properties in the Sobolev spaces Hᵐ(G) (m = 0, 1, 2) uniformly in time, provided that the solution of the Stokes equations has a certain degree of regularity.

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Reports on the topic "Stokes' method"

1

Wang, Z. J., T. Haga, and H. Gao. A Unifying High-Order Method for the Navier-Stokes Equations on Hybrid Unstructured Meshes. Defense Technical Information Center, 2013. http://dx.doi.org/10.21236/ada583716.

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Tran, Hoang, Catalin Trenchea, and Clayton Webster. A convergence analysis of stochastic collocation method for Navier-Stokes equations with random input data. Office of Scientific and Technical Information (OSTI), 2014. http://dx.doi.org/10.2172/1649669.

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Wang, Z. J. Final Report - High-Order Spectral Volume Method for the Navier-Stokes Equations On Unstructured Tetrahedral Grids. Office of Scientific and Technical Information (OSTI), 2012. http://dx.doi.org/10.2172/1056665.

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Williams, P. T. CCM Continuity Constraint Method: A finite-element computational fluid dynamics algorithm for incompressible Navier-Stokes fluid flows. Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/10194809.

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Shadid, J. N., R. S. Tuminaro, and H. F. Walker. An inexact Newton method for fully-coupled solution of the Navier-Stokes equations with heat and mass transport. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/446376.

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Srinivasan, Ganapathi R. A Free-Wake Euler and Navier-Stokes CFD Method and its Application to Helicopter Rotors Including Dynamic Stall. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada278000.

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Fike, Jeffrey. Construction of reduced order models for the non-linear Navier-Stokes equations using the proper orthogonal fecomposition (POD)/Galerkin method. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1096504.

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Manzini, Gianmarco, and Annamaria Mazzia. A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem. Office of Scientific and Technical Information (OSTI), 2021. http://dx.doi.org/10.2172/1787266.

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Becker, Sarah, Heather Sussman, S. Blundell, Vern Vanderbilt, and Igor Semyonov. Analysis of spectropolarimetric responses in the visible and infrared for differentiation between similar materials. Engineer Research and Development Center (U.S.), 2022. http://dx.doi.org/10.21079/11681/45422.

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Spectropolarimetric research has focused on target detections of materials that have a high degree of contrast from background materials, such as identification of a manmade object embedded in a vegetative background. This study presents an approach using spectropolarimetric imagery in visible, shortwave infrared, and longwave infrared bands to differentiate between similar natural and manmade materials. The method employs Michelson contrast and Kruskal-Wallis one-way analysis of variance (ANOVA) H-test to determine if a distinction can be found in pairwise comparisons of similar and different

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González-Montaña, Luis Antonio. Semantic-based methods for morphological descriptions: An applied example for Neotropical species of genus Lepidocyrtus Bourlet, 1839 (Collembola: Entomobryidae). Verlag der Österreichischen Akademie der Wissenschaften, 2021. http://dx.doi.org/10.1553/biosystecol.1.e71620.

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The production of semantic annotations has gained renewed attention due to the development of anatomical ontologies and the documentation of morphological data. Two methods are proposed in this production, differing in their methodological and philosophical approaches: class-based method and instance-based method. The first, the semantic annotations are established as class expressions, while in the second, the annotations incorporate individuals. An empirical evaluation of the above methods was applied in the morphological description of Neotropical species of the genus Lepidocyrtus (Collembo

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