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Thursday, October 8, 2020 | History

2 edition of A high-order Lagrangian-decoupling mehod for the incompressible Navier-Stokes equations found in the catalog.

A high-order Lagrangian-decoupling mehod for the incompressible Navier-Stokes equations

A high-order Lagrangian-decoupling mehod for the incompressible Navier-Stokes equations

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Published by ICASE, NASA Langley Research Center, For sale by the National Technical Informaton Service in Hampton, Va, [Springfield, Va .
Written in English

    Subjects:
  • Computational fluid dynamics.,
  • Decoupling.,
  • Grid generation (Mathematics),
  • Inccompressible flow.,
  • Navier-Stokes equation.

  • Edition Notes

    Other titlesHigh order Lagrangian decoupling method for the incompressible Navier-Stokes equations.
    StatementLee-Wing Ho ... [et al.].
    SeriesICASE report -- no. 89-57., NASA CR -- 181903., NASA contractor report -- NASA CR-181903.
    ContributionsHo, Lee-Wing., Institute for Computer Applications in Science and Engineering.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL18228728M

    The flow transitions to a chaotic behaviour at t ∼ Fig. 7 shows two snapshots of the flow in the driven cavity. The left part of the figure shows ‖ v ‖ 2 together with streamlines of v ∥ on the plane x = The characteristic corner vortices on this cut through the domain are clearly visible as well as the appearance of the Taylor–Görtler vortices close to z = Cited by: hp-Methods for Stokes Problems Steady Navier–Stokes Equations Weak Formulation Collocation Approximation of the Navier–Stokes Equations Solution Algorithms: Iterative and Newton Methods Applications Stokes Problems Navier–Stokes Problems

    This paper introduces a high-order time stepping technique for solving the incompressible Navier--Stokes equations which, unlike coupled techniques, does not require solving a saddle point problem at each time step and, unlike projection methods, does not Cited by: The incompressible Navier–Stokes equations with conservative external field is the fundamental equation of hydraulics. The domain for these equations is commonly a 3 or less Euclidean space, for which an orthogonal coordinate reference frame is usually set to explicit the system of scalar partial differential equations to be solved.

    The objective of the present work is to develop a numerical method for solving the incompressible Navier-Stokes equations satisfying the conservation of mass exactly (within machine round-off). It will also be required that the numerical /85 $ Copyrlghf 0 by Academic Press, Inc. P. F. Fischer, A. T. Patera b Parallel Spectral Element Methods for the Incompressible Navier-Stokes Equations, in Solution of Super-Large Problems in Computational Mechanics, eds. J. H. Kane and A. D. Carlson, Plenum Publishers, to appear. Google ScholarCited by: 1.


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A high-order Lagrangian-decoupling mehod for the incompressible Navier-Stokes equations Download PDF EPUB FB2

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 80 () NORTH-HOLLAND A HIGH-ORDER LAGRANGIAN-DECOUPLING METHOD FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS Lee-Wing HO, Yvon MADAY*, Anthony T.

PATERA and Einar M. R0NQUIST Department of Mechanical Engineering, M.I.T., Cambridge, MAU.S.A. Received Cited by: High-order Lagrangian-decoupling method for the incompressible Navier-Stokes equations (OCoLC) Material Type: Document, Government publication, National government publication, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Lee-Wing Ho; Institute for Computer Applications in Science and.

High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in Format: Hardcover.

High-order Lagrangian-decoupling method for the incompressible Navier-Stokes equations (OCoLC) Material Type: Government publication, National government publication, Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Lee-Wing Ho; Institute for Computer Applications in Science and Engineering.

METHOD FOR NAVIER–STOKES EQUATIONS allowable time step is dictated by the CFL number, which is typically of order one, and thus 1tCFL / L uNfi Here Lis an integral length scale, u is a characteristic velocity scale, e.g., the rms value, and Nfi represents the scaling of the maximum eigenvalue associated with the spectral discretization, with N the total number of nodes in one.

A high-order Lagrangian-decoupling method is presented for the unsteady convection-diffusion and incompressible Navier-Stokes equations. The method is based upon: (1) Lagrangian variational forms that reduce the convection-diffusion equation to a symmetric initial value problem; (2) implicit high-order backward-differentiation finite-difference.

High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in Author: M.

Deville, P. Fischer, E. Mund. We present a semi-Lagrangian method for advection–diffusion and incompressible Navier–Stokes equations.

The focus is on constructing stable schemes of second-order temporal accuracy, as this is a crucial element for the successful application of semi-Lagrangian methods to turbulence by: Ho Lee-Wing, Yvon Maday, Anthony T.

Patera and Einar M. Rønquist, A high-order Lagrangian-decoupling method for the incompressible Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, 80,(65), (). the variable density incompressible Navier–Stokes equations on nested grids.

Sussman et al. extended this method to two-phase flows [30]. Within this block structured grid approach, a multigrid approach was used to efficiently solve the Poisson equation.

The methods on quadtrees/octrees presented in [21,20,22,24] build. High-order methods for the Euler and Navier-Stokes equations on unstructured grids Article in Progress in Aerospace Sciences 43(1) April with Reads How we measure 'reads'Author: Z.

Wang. Lagrangian–Eulerian (MLE) method is proposed for solving the incompressible Navier–Stokes equations. In the current velocity– pressure formulation, the momentum and continuity equations are approximated on the moving particles (Lagrangian) and the uniform Cartesian grid points, respectively.

Abstract High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in complex domains.

JOURNAL OF COMPUTATIONAL PHYS () High-Order Splitting Methods for the Incompressible Navier-Stokes Equations GEORGE EM KARNIADAKIS Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey MOSHE ISRAELI Department of Compuler Science, Technion-Israel Institute qf Technology, Haifa, Israel AND STEVEN A.

ORSZAG Cited by:   We propose a class of semi-Lagrangian methods of high approximation order in space and time, based on spectral element space discretizations and exponential integrators of Runge–Kutta type.

The methods were presented in Celledoni and Kometa (J Sci Comput 41(1)–, ) for simpler convection–diffusion equations. We discuss the extension of these methods to the Cited by: Meshfree methods, as a result, are more effective in simulating some complex manufacturing processes involving large interface deformation such as extrusion and molding as compared to mesh-based methods.

In this study, our focus is to combine the meshfree and the mesh-based methods to predict the incompressible Navier–Stokes by: 9. A high-order accurate, finite-difference method for the numerical solution of the incompressible Navier-Stokes equations is presented.

Fourth-order accurate discretizations of the convective and viscous fluxes are obtained on staggered meshes using explicit or compact finite-difference formulas.

A staggered grid, high-order accurate method for the incompressible Navier–Stokes equations Nikolaos A.

Kampanis a,*, John A. Ekaterinaris a,b a Foundation for Research and Technology-Hellas, Institute of Applied and Computational Mathematics, P.O. BoxHeraklion, Crete, Greece b School of Mechanical and Aerospace Engineering, University of Patras, Patras, Greece.

High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in complex domains.

Introductory chapters present high-order spatial and temporal discretizations for. High order methods for the approximation of the incompressible Navier–Stokes equations in a moving domain Article in Computer Methods in Applied Mechanics and Engineering February.

For the FD method, the outhors in Ref. [6] are proposed a high-order accurate method for the numerical solution of the incompressible Navier-Stokes equations in both time and space is developed in.High-order numerical methods provide an efficient approach to simulating many physical problems.

This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in complex domains. Introductory chapters present high-order spatial and temporal discretizations for one.1/27 A High-Order Discontinuous Galerkin Method for the Unsteady Incompressible Navier-Stokes Equations Khosro Shahbazi1, Paul F.

Fischer2 and C. Ross Ethier1 1University of Toronto and 2Argonne National Laboratory 17th International Conference on Domain Decomposition Methods.