Log in

Relevant bibliographies by topics / Viscous flow Viscous flow Finite element method / Journal articles

To see the other types of publications on this topic, follow the link: Viscous flow Viscous flow Finite element method.

Journal articles on the topic 'Viscous flow Viscous flow Finite element method'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Viscous flow Viscous flow Finite element method.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Huerta, A., and W. K. Liu. "Viscous Flow Structure Interaction." Journal of Pressure Vessel Technology 110, no. 1 (1988): 15–21. http://dx.doi.org/10.1115/1.3265561.

Full text

Abstract:

Considerable research activities in vibration and seismic analysis for various fluid-structure systems have been carried out in the past two decades. Most of the approaches are formulated within the framework of finite elements, and the majority of work deals with inviscid fluids. However, there has been little work done in the area of fluid-structure interaction problems accounting for flow separation and nonlinear phenomenon of steady streaming. In this paper, the Arbitrary Lagrangian Eulerian (ALE) finite element method is extended to address the flow separation and nonlinear phenomenon of steady streaming for arbitrarily shaped bodies undergoing large periodic motion in a viscous fluid. The results are designed to evaluate the fluid force acting on the body; thus, the coupled rigid body-viscous flow problem can be simplified to a standard structural problem using the concept of added mass and added damping. Formulas for these two constants are given for the particular case of a cylinder immersed in an infinite viscous fluid. The finite element modeling is based on a pressure-velocity mixed formulation and a streamline upwind Petrov/Galerkin technique. All computations are performed using a personal computer.

APA, Harvard, Vancouver, ISO, and other styles

2

YAGAWA, Genki, and Yuzuru EGUCHI. "Finite element methods for incompressible viscous flow." JSME international journal 30, no. 265 (1987): 1009–17. http://dx.doi.org/10.1299/jsme1987.30.1009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Garg, Deepak, Antonella Longo, and Paolo Papale. "Modeling Free Surface Flows Using Stabilized Finite Element Method." Mathematical Problems in Engineering 2018 (June 11, 2018): 1–9. http://dx.doi.org/10.1155/2018/6154251.

Full text

Abstract:

This work aims to develop a numerical wave tank for viscous and inviscid flows. The Navier-Stokes equations are solved by time-discontinuous stabilized space-time finite element method. The numerical scheme tracks the free surface location using fluid velocity. A segregated algorithm is proposed to iteratively couple the fluid flow and mesh deformation problems. The numerical scheme and the developed computer code are validated over three free surface problems: solitary wave propagation, the collision between two counter moving waves, and wave damping in a viscous fluid. The benchmark tests demonstrate that the numerical approach is effective and an attractive tool for simulating viscous and inviscid free surface flows.

APA, Harvard, Vancouver, ISO, and other styles

4

Sharma, R. L. "Viscous incompressible flow simulation using penalty finite element method." EPJ Web of Conferences 25 (2012): 01085. http://dx.doi.org/10.1051/epjconf/20122501085.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Dutto, Laura C., Wagdi G. Habashi, Michel P. Robichaud, and Michel Fortin. "A method for finite element parallel viscous compressible flow calculations." International Journal for Numerical Methods in Fluids 19, no. 4 (1994): 275–94. http://dx.doi.org/10.1002/fld.1650190402.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Whiteley, J. P. "A Discontinuous Galerkin Finite Element Method for Multiphase Viscous Flow." SIAM Journal on Scientific Computing 37, no. 4 (2015): B591—B612. http://dx.doi.org/10.1137/14098497x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Thoenes, J., S. J. Robertson, and L. W. Spradley. "Application of finite element methods to viscous subsonic flow." Computer Methods in Applied Mechanics and Engineering 51, no. 1-3 (1985): 495–506. http://dx.doi.org/10.1016/0045-7825(85)90044-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Young, D. L., Y. H. Liu, and T. I. Eldho. "Three-Dimensional Stokes Flow Solution Using Combined Boundary Element and Finite Element Methods." Journal of Mechanics 15, no. 4 (1999): 169–76. http://dx.doi.org/10.1017/s1727719100000459.

Full text

Abstract:

AbstractThis paper describes a model using boundary element and finite element methods for the solution of three-dimensional incompressible viscous flows in slow motion, using velocity-vorticity variables. The method involves the solution of diffusion-advection type vorticity equations for vorticity whose solenoidal vorticity components are obtained by solving a Poisson equation involving the velocity and vorticity components. The Poisson equations are solved using boundary elements and the vorticity diffusion type equations are solved using finite elements and both are combined. Here the results of Stokes flow with very low Reynolds number, in a typical cavity flow are presented and compared with other model results. The combined BEM-FEM model has been found to be efficient and satisfactory.

APA, Harvard, Vancouver, ISO, and other styles

9

Iijima, Hirohisa, Nobuhiro Miki, and Nobuo Nagai. "Viscous flow analyses of glottal models using a finite element method." Journal of the Acoustical Society of America 84, S1 (1988): S126. http://dx.doi.org/10.1121/1.2025748.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Nasu, Shoichi, and Mutsuto Kawahara. "An Analysis of Compressible Viscous Flows Around a Body Using Finite Element Method." Advanced Materials Research 403-408 (November 2011): 461–65. http://dx.doi.org/10.4028/www.scientific.net/amr.403-408.461.

Full text

Abstract:

The objective of this paper is an analysis of a body in a compressible viscous flow using the finite element method. Generally, when the fluid flow is analyzed, an incompressible viscous flow is often applied. However fluids have compressibility in actual phenomena. Therefore, the compressibility should be concerned in Computational Fluid Dynamics [CFD]. In this study, two kind of equation is applied to basic equations. One is compressible Navier-stokes equation, the other is incompressible Navier-stokes equation considering density variation. These analysis results of both equations are compared.

APA, Harvard, Vancouver, ISO, and other styles

11

Young, D. L., and J. T. Chang. "Impulsive Motion of a Moving Circular Cylinder in a Viscous Flow by the Numerical Simulation." Journal of Mechanics 14, no. 3 (1998): 119–23. http://dx.doi.org/10.1017/s1727719100000149.

Full text

Abstract:

ABSTRACTAn innovative computation procedure is developed to solve the external flow problems for viscous fluids. The method is able to handle the infinite domain so that it is convenient for the external flows. The code is based on the projection method of the Navier-Stokes equations. We use the three-step explicit finite element method to solve the momentum equation by extracting the boundary effects from the finite computation domain. The pressure Poisson equation for the external field is treated by the boundary element method. The arbitrary Lagrangian-Eulerian (ALE) scheme is employed to incorporate the present algorithm to deal with the moving boundary, such as the motion of an impulsively moving circular cylinder in a viscous fluid. The model demonstrates that drag force is well predicted for a circular cylinder moving in a still viscous fluid starting from rest, to a constant acceleration, and then maintaining at a uniform velocity. In the constant acceleration phase, the drag force is closed to the added mass effect from the ideal flow theory. On the other hand, the drag force is equal to viscous flow theory in the constant velocity phase.

APA, Harvard, Vancouver, ISO, and other styles

12

Zhang, Zhengrong, and Xiangwei Zhang. "Direct Simulation of Low-Re Flow around a Square Cylinder by Numerical Manifold Method for Navier-Stokes Equations." Journal of Applied Mathematics 2012 (2012): 1–14. http://dx.doi.org/10.1155/2012/465972.

Full text

Abstract:

Numerical manifold method was applied to directly solve Navier-Stokes (N-S) equations for incompressible viscous flow in this paper, and numerical manifold schemes for N-S equations coupled velocity and pressure were derived based on Galerkin weighted residuals method as well. Mixed cover with linear polynomial function for velocity and constant function for pressure was employed in finite element cover system. As an application, mixed cover 4-node rectangular manifold element has been used to simulate the incompressible viscous flow around a square cylinder in a channel. Numerical tests illustrate that NMM is an effective and high-order accurate numerical method for incompressible viscous flow N-S equations.

APA, Harvard, Vancouver, ISO, and other styles

13

Heo, Jae-Kyung, Jong-Chun Park, Weon-Cheol Koo, and Moo-Hyun Kim. "Influences of Vorticity to Vertical Motion of Two-Dimensional Moonpool under Forced Heave Motion." Mathematical Problems in Engineering 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/424927.

Full text

Abstract:

Potential (inviscid-irrotational) and Navier-Stokes equation-based (viscous) flows were numerically simulated around a 2D floating rectangular body with a moonpool; particular emphasis was placed on the piston mode through the use of finite volume method (FVM) and boundary element method (BEM) solvers. The resultant wave height and phase shift inside and outside the moonpool were compared with experimental results by Faltinsen et al. (2007) for various heaving frequencies. Hydrodynamic coefficients were compared for the viscous and potential solvers and sway and heave forces were discussed. The effects of the viscosity and vortex shedding were investigated by changing the gap size, corner shape, and viscosity. The viscous flow fields were thoroughly discussed to better understand the relevant physics and shed light on the detail flow structure at resonant frequency. Vortex shedding was found to account for the most of the damping. The viscous flow simulations agreed well with the experimental results, showing the actual role and contribution of viscosity compared to potential flow simulations.

APA, Harvard, Vancouver, ISO, and other styles

14

Tang, Bo, Jun-feng Li, and Tian-shu Wang. "Viscous flow with free surface motion by least square finite element method." Applied Mathematics and Mechanics 29, no. 7 (2008): 943–52. http://dx.doi.org/10.1007/s10483-008-0713-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Gaskell, P. H., H. M. Thompson, and M. D. Savage. "A finite element analysis of steady viscous flow in triangular cavities." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 213, no. 3 (1999): 263–76. http://dx.doi.org/10.1243/0954406991522635.

Full text

Abstract:

A finite element formulation of the Navier—Stokes equations, written in terms of the stream function, ψ, and vorticity, ω, for a Newtonian fluid in the absence of body forces, is used to solve the problem of flow in a triangular cavity, driven by the uniform motion of one of its side walls. A key feature of the numerical method is that the difficulties associated with specifying ω at the corners are addressed and overcome by applying analytical boundary conditions on ω near these singularities. The computational results are found to agree well with previously published data and, for small stagnant corner angles, reveal the existence of a sequence of secondary recirculations whose relative sizes and strengths are in accord with Moffatt's classical theory. It is shown that, as the stagnant corner angle is increased beyond approximately 40°, the secondary recirculations diminish in size rapidly.

APA, Harvard, Vancouver, ISO, and other styles

16

Lo, D. C., Chih-Min Hsieh, and D. L. Young. "An embedding finite element method for viscous incompressible flows with complex immersed boundaries on Cartesian grids." Engineering Computations 31, no. 4 (2014): 656–80. http://dx.doi.org/10.1108/ec-04-2012-0090.

Full text

Abstract:

Purpose – The main advantage of the proposed method is that the computations can be performed on a Cartesian grid with complex immersed boundaries (IBs). The purpose of this paper is to device a numerical scheme based on an embedding finite element method for the solution of two-dimensional (2D) Navier-Stokes equations. Design/methodology/approach – Geometries featuring the stationary solid obstacles in the flow are embedded in the Cartesian grid with special discretizations near the embedded boundary to ensure the accuracy of the solution in the cut cells. To comprehend the complexities of the viscous flows with IBs, the paper adopts a compact interpolation scheme near the IBs that allows to satisfy the second-order accuracy and the conservation property of the solver. The interpolation scheme is designed by virtue of the shape function in the finite element scheme. Findings – Three numerical examples are selected to demonstrate the accuracy and flexibility of the proposed methodology. Simulation of flow past a circular cylinder for a range of Re=20-200 shows excellent agreements with other results using different numerical schemes. Flows around a pair of tandem cylinders and several bodies are particularly investigated. The paper simulates the time-based variation of the flow phenomena for uniform flow past a pair of cylinders with various streamwise gaps between two cylinders. The results in terms of drag coefficient and Strouhal number show excellent agreements with the results available in the literature. Originality/value – Details of the flow characteristics, such as velocity distribution, pressure and vorticity fields are presented. It is concluded the combined embedding boundary method and FE discretizations are robust and accurate for solving 2D fluid flows with complex IBs.

APA, Harvard, Vancouver, ISO, and other styles

17

Stenberg, Rolf. "A technique for analysing finite element methods for viscous incompressible flow." International Journal for Numerical Methods in Fluids 11, no. 6 (1990): 935–48. http://dx.doi.org/10.1002/fld.1650110615.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Hwang, C. J., F. L. Jiang, J. M. Hsieh, and S. B. Chang. "Numerical Analysis of Airfoil and Cascade Flows by the Viscous/Inviscid Interactive Technique." Journal of Turbomachinery 110, no. 4 (1988): 532–39. http://dx.doi.org/10.1115/1.3262227.

Full text

Abstract:

A viscous-inviscid interaction calculation is performed to study the steady, two-dimensional, incompressible/subsonic compressible, attached and separated flows for isolated airfoils and airfoil cascades. A full-potential code was coupled with a laminar/transition/turbulent finite difference code using the semi-inverse method. For the potential flow, the finite element method is employed and the circulation is considered as an unknown parameter. In order to handle the problem efficiently, an automatic grid generation technique is necessary. For the incompressible flow, the solution can be achieved without iteration. However, for the compressible flow, a “pseudotime integral” is used to find a steady-state solution. To understand the viscous effect, the boundary layer equations are solved by the implicit, finite difference method. For the turbulent flow, the algebraic eddy-viscosity formulation of Cebeci and Smith is used. The location of transition from laminar to turbulent flow is predicted or specified by empirical data correlations. The transitional region is taken into account by an empirical intermittency factor. With regard to separated flows, the FLARE approximation and inverse method are introduced. In order to evaluate the present solution procedure, the numerical results are compared to the theoretical and experimental data given in other papers and reports.

APA, Harvard, Vancouver, ISO, and other styles

19

MATSUMOTO, Junichi, Tsuyoshi UMETSU, and Mutsuto KAWAHARA. "Incompressible Viscous Flow Analysis and Adaptive Finite Element Method Using Linear Bubble Function." Journal of applied mechanics 2 (1999): 223–32. http://dx.doi.org/10.2208/journalam.2.223.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Paweenawat, Archawa, and Pramote Dechaumphai. "Nodeless variables finite element method and adaptive meshing teghnique for viscous flow analysis." Journal of Mechanical Science and Technology 20, no. 10 (2006): 1730–40. http://dx.doi.org/10.1007/bf02916277.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Jiang, Bo-nan, T. L. Lin, and Louis A. Povinelli. "Large-scale computation of incompressible viscous flow by least-squares finite element method." Computer Methods in Applied Mechanics and Engineering 114, no. 3-4 (1994): 213–31. http://dx.doi.org/10.1016/0045-7825(94)90172-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Gang, Zhu, Shen Mengyu, Liu Qiusheng, and Wang Baoguo. "Anisotropic multistage finite element method for two dimensional viscous transonic flow in turbomachinery." Acta Mechanica Sinica 11, no. 1 (1995): 15–19. http://dx.doi.org/10.1007/bf02487180.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Lo, Der-Chang, and Der-Liang Young. "Two-Dimensional Incompressible Flows by Velocity-Vorticity Formulation and Finite Element Method." Journal of Mechanics 17, no. 1 (2001): 13–20. http://dx.doi.org/10.1017/s1727719100002379.

Full text

Abstract:

ABSTRACTIn this study, the motion of incompressible viscous fluid in a two-dimensional domain is solved by the finite element method using the velocity-vorticity formulation. To demonstrate the model feasibility, first of all the steady Stokes flow in a square cavity are computed. The results of square cavity flow are comparable with the numerical solutions of Burggraff (1966, FDM) [1]. Then the unsteady Navier-Stokes flow are computed and compared with other models [1∼4]. The results reveal that finite element analysis is a very powerful approach in the realm of computational fluid mechanics.

APA, Harvard, Vancouver, ISO, and other styles

24

GUASCH, ORIOL, and RAMON CODINA. "COMPUTATIONAL AEROACOUSTICS OF VISCOUS LOW SPEED FLOWS USING SUBGRID SCALE FINITE ELEMENT METHODS." Journal of Computational Acoustics 17, no. 03 (2009): 309–30. http://dx.doi.org/10.1142/s0218396x09003975.

Full text

Abstract:

A methodology to perform computational aeroacoustics (CAA) of viscous low speed flows in the framework of stabilized finite element methods is presented. A hybrid CAA procedure is followed that makes use of Lighthill's acoustic analogy in the frequency domain. The procedure has been conceptually divided into three steps. In the first one, the incompressible Navier–Stokes equations are solved to obtain the flow velocity field. In the second step, Lighthill's acoustic source term is computed from this velocity field and then Fourier transformed to the frequency domain. Finally, the acoustic pressure field is obtained by solving the corresponding inhomogeneous Helmholtz equation. All equations in the formulation are solved using subgrid scale stabilized finite element methods. The main ideas of the subgrid scale numerical strategy are outlined and its benefits when compared to the Galerkin approach are described. As numerical examples, the aerodynamic noise generated by flow past a two-dimensional cylinder and by flow past two cylinders in parallel arrangement are addressed.

APA, Harvard, Vancouver, ISO, and other styles

25

SZILÁGYI, BÉLA, ROMEO SUSAN-RESIGA, and VICTOR SOFONEA. "LATTICE BOLTZMANN APPROACH TO VISCOUS FLOWS BETWEEN PARALLEL PLATES." International Journal of Modern Physics C 06, no. 03 (1995): 345–58. http://dx.doi.org/10.1142/s0129183195000253.

Full text

Abstract:

Four different kinds of laminar flows between two parallel plates are investigated using the Lattice Boltzmann Method (LBM). The LBM accuracy is estimated in two cases using numerical fits of the parabolic velocity profiles and the kinetic energy decay curves, respectively. The error relative to the analytical kinematic viscosity values was found to be less than one percent in both cases. The LBM results for the unsteady development of the flow when one plate is brought suddenly at a constant velocity, are found in excellent agreement with the analytical solution. Because the classical Schlichting’s approximate solution for the entrance-region flow is not valid for small Reynolds numbers, a Finite Element Method solution was used in order to check the accuracy of the LBM results in this case.

APA, Harvard, Vancouver, ISO, and other styles

26

Varnhorn, Werner. "Finite differences and boundary element methods for non-stationary viscous incompressible flow." Banach Center Publications 29, no. 1 (1994): 135–54. http://dx.doi.org/10.4064/-29-1-135-154.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Valášek, Jan, Petr Sváček, and Jaromír Horáček. "Numerical Simulation of Interaction of Fluid Flow and Elastic Structure Modelling Vocal Fold." Applied Mechanics and Materials 821 (January 2016): 693–700. http://dx.doi.org/10.4028/www.scientific.net/amm.821.693.

Full text

Abstract:

This paper deals with an interaction of the viscous incompressible fluid flow with a simplified model of the human vocal fold. In order to capture deformation of the elastic body the arbitrary Lagrangian-Euler method is used. The linear elasticity model is considered. The problem is solved by the developed finite element method based solver. For the flow approximation the crossgrid elements are used. The elastic structure motion is approximated by the piecewise linear elements. Numerical results are shown.

APA, Harvard, Vancouver, ISO, and other styles

28

King, D. A., and B. R. Williams. "Developments in computational methods for high-lift aerodynamics." Aeronautical Journal 92, no. 917 (1988): 265–88. http://dx.doi.org/10.1017/s0001924000016262.

Full text

Abstract:

SummaryViscous/inviscid interaction techniques for calculating the flow about multiple-element aerofoils have been under development in the UK for the last decade producing such programs as MAVIS and HILDA. These methods give reasonable predictions of the lift for viscous attached flow, but fail to give an estimate of the maximum lift and the associated flow separations on the aerofoils. The methods also fail to give adequate predictions of the drag for both attached and separated flow. The disappointing performance of the methods in predicting maximum lift stems primarily from the use of direct methods to solve the first order boundary-layer equations, whilst the poor drag predictions arise from inadequate methods for predicting the development of the flow over the flap. The assumption of incompressible flow could also be a contributory factor in both cases. Methods of overcoming the first restriction are described by using a more appropriate coupling between the inviscid and viscous flows which properly assigns the correct role to each partner in the coupling: this approach is illustrated by ‘semi-inverse’ and ‘quasi-simultaneous’ couplings of a finite-element method for the compressible inviscid flow with an integral method for the boundary layers and wakes. Some methods for calculating the compressible flow about multiple-element aerofoils are also reviewed. However these improvements do not give an adequate estimate of the drag so possible improvements to the calculation of the flow over the flap are discussed.

APA, Harvard, Vancouver, ISO, and other styles

29

Sa’adAldin, AbdelLatif, and Naji Qatanani. "Finite Element Solution of an Unsteady MHD Flow through Porous Medium between Two Parallel Flat Plates." Journal of Applied Mathematics 2017 (2017): 1–6. http://dx.doi.org/10.1155/2017/6856470.

Full text

Abstract:

Finite element solution of unsteady magnetohydrodynamics (MHD) flow of an electrically conducting, incompressible viscous fluid past through porous medium between two parallel plates is presented in the presence of a transverse magnetic field and Hall effect. The results obtained from some test cases are then compared with previous published work using the finite difference method (FDM). Numerical examples show that the finite element method (FEM) gives more accurate results in comparison with the finite difference method (FDM).

APA, Harvard, Vancouver, ISO, and other styles

30

KAKUDA, Kazuhiko, and Nobuyoshi TOSAKA. "PETROV-GALERKIN FINITE ELEMENT METHOD USING EXPONENTIAL FUNCTIONS FOR UNSTEADY INCOMPRESSIBLE VISCOUS FLOW PROBLEMS." Journal of Structural and Construction Engineering (Transactions of AIJ) 439 (1992): 189–98. http://dx.doi.org/10.3130/aijsx.439.0_189.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Sun, Xu, Jia-Zhong Zhang, and Xiao-Long Ren. "Characteristic-Based Split (CBS) Finite Element Method for Incompressible Viscous Flow with Moving Boundaries." Engineering Applications of Computational Fluid Mechanics 6, no. 3 (2012): 461–74. http://dx.doi.org/10.1080/19942060.2012.11015435.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Duque, Jairo. "On a finite element method for a compressible viscous flow in a MOCVD reactor." Numerical Methods for Partial Differential Equations 21, no. 4 (2005): 764–69. http://dx.doi.org/10.1002/num.20061.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Srinivas, K., and C. A. J. Fletcher. "A three-level generalized-co-ordinate group finite-element method for compressible viscous flow." International Journal for Numerical Methods in Fluids 5, no. 5 (1985): 463–81. http://dx.doi.org/10.1002/fld.1650050506.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

MORINAGA, Eiji. "A Modified Streamline-Fractional-Step Finite Element Method for Solving Unsteady Incompressible Viscous Flow." Journal of Computational Science and Technology 2, no. 1 (2008): 23–33. http://dx.doi.org/10.1299/jcst.2.23.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Fairag, Faisal. "Numerical Computations of Viscous, Incompressible Flow Problems Using a Two-Level Finite Element Method." SIAM Journal on Scientific Computing 24, no. 6 (2003): 1919–29. http://dx.doi.org/10.1137/s1064827500370895.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

MORINAGA, Eiji. "A Modified Streamline Fractional Step Finite Element Method for Solving Unsteady Incompressible Viscous Flow." Transactions of the Japan Society of Mechanical Engineers Series B 72, no. 723 (2006): 2626–33. http://dx.doi.org/10.1299/kikaib.72.2626.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Limtrakarn, Wiroj, and Pramote Dechaumphai. "Interaction of high-speed compressible viscous flow and structure by adaptive finite element method." KSME International Journal 18, no. 10 (2004): 1837–48. http://dx.doi.org/10.1007/bf02984332.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Ramaswamy, B. "Theory and implementation of a semi-implicit finite element method for viscous incompressible flow." Computers & Fluids 22, no. 6 (1993): 725–47. http://dx.doi.org/10.1016/0045-7930(93)90036-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Mostaghimi, Peyman, Fatemeh Kamali, Matthew D. Jackson, Ann H. Muggeridge, and Christopher C. Pain. "Adaptive Mesh Optimization for Simulation of Immiscible Viscous Fingering." SPE Journal 21, no. 06 (2016): 2250–59. http://dx.doi.org/10.2118/173281-pa.

Full text

Abstract:

Summary Viscous fingering can be a major concern when waterflooding heavy-oil reservoirs. Most commercial reservoir simulators use low-order finite-volume/-difference methods on structured grids to resolve this phenomenon. However, this approach suffers from a significant numerical-dispersion error because of insufficient mesh resolution, which smears out some important features of the flow. We simulate immiscible incompressible two-phase displacements and propose the use of unstructured control-volume finite-element (CVFE) methods for capturing viscous fingering in porous media. Our approach uses anisotropic mesh adaptation where the mesh resolution is optimized on the basis of the evolving features of flow. The adaptive algorithm uses a metric tensor field dependent on solution-interpolation-error estimates to locally control the size and shape of elements in the metric. The mesh optimization generates an unstructured finer mesh in areas of the domain where flow properties change more quickly and a coarser mesh in other regions where properties do not vary so rapidly. We analyze the computational cost of mesh adaptivity on unstructured mesh and compare its results with those obtained by a commercial reservoir simulator on the basis of the finite-volume methods.

APA, Harvard, Vancouver, ISO, and other styles

40

Kruyt, N. P., C. Cuvelier, A. Segal, and J. van der Zanden. "A total linearization method for solving viscous free boundary flow problems by the finite element method." International Journal for Numerical Methods in Fluids 8, no. 3 (1988): 351–63. http://dx.doi.org/10.1002/fld.1650080308.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Chaudhary, Santosh, and Mohan Kumar Choudhary. "Finite element analysis of magnetohydrodynamic flow over flat surface moving in parallel free stream with viscous dissipation and Joule heating." Engineering Computations 35, no. 4 (2018): 1675–93. http://dx.doi.org/10.1108/ec-02-2017-0062.

Full text

Abstract:

PurposeThe purpose of this paper is to investigate two-dimensional viscous incompressible magnetohydrodynamic boundary layer flow and heat transfer of an electrically conducting fluid over a continuous moving flat surface considering the viscous dissipation and Joule heating.Design/methodology/approachSuitable similarity variables are introduced to reduce the governing nonlinear boundary layer partial differential equations to ordinary differential equations. A numerical solution of the resulting two-point boundary value problem is carried out by using the finite element method with the help of Gauss elimination technique.FindingsA comparison of obtained results is made with the previous work under the limiting cases. Behavior of flow and thermal fields against various governing parameters like mass transfer parameter, moving flat surface parameter, magnetic parameter, Prandtl number and Eckert number are analyzed and demonstrated graphically. Moreover, shear stress and heat flux at the moving surface for various values of the physical parameters are presented numerically in tabular form and discussed in detail.Originality/valueThe work is relatively original, as very little work has been reported on magnetohydrodynamic flow and heat transfer over a continuous moving flat surface. Viscous dissipation and Joule heating are neglected in most of the previous studies. The numerical method applied to solve governing equations is finite element method which is new and efficient.

APA, Harvard, Vancouver, ISO, and other styles

42

Beno, Matej, and Bořek Patzák. "FICTITIOUS DOMAIN METHOD FOR NUMERICAL SIMULATION OF INCOMPRESSIBLE VISCOUS FLOW AROUND RIGID BODIES." Acta Polytechnica 57, no. 4 (2017): 245. http://dx.doi.org/10.14311/ap.2017.57.0245.

Full text

Abstract:

This article describes the method of efficient simulation of the flow around potentially many rigid obstacles. The finite element implementation is based on the incompressible Navier-Stokes equations using structured, regular, two dimensional triangular mesh. The fictitious domain method is introduced to account for the presence of rigid particles, representing obstacles to the flow. To enforce rigid body constraints in parts corresponding to rigid obstacles, Lagrange multipliers are used. For time discretization, an operator splitting technique is used. The model is validated using 2D channel flow simulations with circular obstacles. Different possibilities of enforcing rigid body constraints are compared to the fully resolved simulations and optimal strategy is recommended.

APA, Harvard, Vancouver, ISO, and other styles

43

Huyer, S. A., and J. R. Grant. "Computation of Unsteady Separated Flow Fields Using Anisotropic Vorticity Elements." Journal of Fluids Engineering 118, no. 4 (1996): 839–49. http://dx.doi.org/10.1115/1.2835518.

Full text

Abstract:

A novel computational methodology to compute two-dimensional unsteady separated flow fields using a vorticity based formulation is presented. Unlike traditional vortex methods, the elements used in this method are designed to take advantage of the natural anisotropy of most external flows. These vortex elements are disjoint and of compact support. The vorticity is uniform over rectangular elements whose initial thickness is set by a diffusion length scale. The elements are a mathematical construction which enables the vorticity of the flow to be created and followed numerically, and the Biot-Savart integral to be performed. This integral specifies the associated velocity field. Since the vorticity of a single element is of finite extent, the velocity associated with an element is given by a nonsingular expression. Viscous diffusion effects are modeled using random walk and the advection term is computed by transporting the vorticity elements with the local velocity field. Consequently, this Lagrangian mesh continually evolves through time. Since pressure does not explicitly appear in the formulation, surface pressures are computed using a stagnation enthalpy formulation. These elements are used to compute vorticity production, accumulation, transport and viscous diffusion mechanisms for unsteady separated flow fields past a pitching airfoil. Dynamic stall vortex initiation and development were examined and compared with existing experimental data. Surface pressure data and integrated force coefficient data were found to be in excellent agreement with experimental data. Effects of geometry were provided with baseline calculations of the unsteady flow past an impulsively started cylinder. Both qualitative and quantitative comparisons with experimental data for equivalent test conditions establish the applicability of this approach to depict unsteady separated flow fields.

APA, Harvard, Vancouver, ISO, and other styles

44

Malatip, Atipong, Niphon Wansophark, and Pramote Dechaumphai. "Finite Element Method for Analysis of Conjugate Heat Transfer between Solid and Unsteady Viscous Flow." Engineering Journal 13, no. 2 (2009): 43–58. http://dx.doi.org/10.4186/ej.2009.13.2.43.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Ramaswamy, Balasubramaniam, and Mutsuto Kawahara. "Arbitrary Lagrangian-Eulerianc finite element method for unsteady, convective, incompressible viscous free surface fluid flow." International Journal for Numerical Methods in Fluids 7, no. 10 (1987): 1053–75. http://dx.doi.org/10.1002/fld.1650071005.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Le Tallec, P., and V. Ruas. "On the convergence of the bilinear-velocity constant-pressure finite element method in viscous flow." Computer Methods in Applied Mechanics and Engineering 54, no. 2 (1986): 235–43. http://dx.doi.org/10.1016/0045-7825(86)90128-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

MATSUBA, IKUO. "SINGULAR PERTURBATION APPROACH TO MAXIMUM PRINCIPLE FORMULATION OF VISCOUS INCOMPRESSIBLE FLUID FLOW." International Journal of Applied Mechanics 02, no. 03 (2010): 557–68. http://dx.doi.org/10.1142/s1758825110000652.

Full text

Abstract:

A method for the solution of viscous incompressible flow based on the Pontryagin's maximum principle is presented. By minimizing the cost function that ensures the continuity condition, an explicit control law for the pressure is derived with the help of an adjoint variable satisfying the adjoint differential equation and certain terminal conditions. Employing the singular perturbation method, the first-order equation is found to give the well-known pressure stabilization technique in the mixed finite element method. The implementation of the present method is presented in a simple example that shows that the approximate solution indeed approaches uniformly to the exact solution for large time.

APA, Harvard, Vancouver, ISO, and other styles

48

Li, Q., H. Z. Liu, Zhuo Zhuang, S. Yamaguchi, and Masao Toyoda. "A Fractional Two-Step Finite Element Formulation for Unsteady Free Surface Flow Using ALE Method." Key Engineering Materials 261-263 (April 2004): 573–78. http://dx.doi.org/10.4028/www.scientific.net/kem.261-263.573.

Full text

Abstract:

A numerical algorithm using equal-order linear finite element and fractional two-step method is presented in this paper, which is used for analysis of incompressible viscous fluid flow with free surface problems. In order to avoid severe mesh distortions, ALE method is used for dealing with the free surface sloshing. For numerical integration, the fractional step method is employed, which is useful because the same linear interpolation functions for both velocity and pressure could be carried out in the finite element formulation. The present algorithm has been applied to some examples and proved to be accurate and more efficient.

APA, Harvard, Vancouver, ISO, and other styles

49

Abali, Bilen Emek. "An Accurate Finite Element Method for the Numerical Solution of Isothermal and Incompressible Flow of Viscous Fluid." Fluids 4, no. 1 (2019): 5. http://dx.doi.org/10.3390/fluids4010005.

Full text

Abstract:

Despite its numerical challenges, finite element method is used to compute viscous fluid flow. A consensus on the cause of numerical problems has been reached; however, general algorithms—allowing a robust and accurate simulation for any process—are still missing. Either a very high computational cost is necessary for a direct numerical solution (DNS) or some limiting procedure is used by adding artificial dissipation to the system. These stabilization methods are useful; however, they are often applied relative to the element size such that a local monotonous convergence is challenging to acquire. We need a computational strategy for solving viscous fluid flow using solely the balance equations. In this work, we present a general procedure solving fluid mechanics problems without use of any stabilization or splitting schemes. Hence, its generalization to multiphysics applications is straightforward. We discuss emerging numerical problems and present the methodology rigorously. Implementation is achieved by using open-source packages and the accuracy as well as the robustness is demonstrated by comparing results to the closed-form solutions and also by solving well-known benchmarking problems.

APA, Harvard, Vancouver, ISO, and other styles

50

Thiriet, M., C. Pares, E. Saltel, and F. Hecht. "Numerical Simulation of Steady Flow in a Model of the Aortic Bifurcation." Journal of Biomechanical Engineering 114, no. 1 (1992): 40–49. http://dx.doi.org/10.1115/1.2895448.

Full text

Abstract:

The governing equations of steady flow of an incompressible viscous fluid through a 3-D model of the aortic bifurcation are solved with the finite element method. The effect of Reynolds number on the flow was studied for a range including the physiological values (200≤Re≤1600). The symmetrical bifurcation, with a branch angle of 70 degrees and an area ratio of 0.8, includes a tapered transition zone. Secondary flows induced by the tube curvature are observed in the daughter tubes. Transverse currents in the transition zone are generated by the combined effect of diverging and converging walls. Flow separation depends on both the Reynolds number and the inlet wall shear.

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!