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3 edition of Higher-order compact schemes for numerical simulation of incompressible flows found in the catalog.

Higher-order compact schemes for numerical simulation of incompressible flows

Higher-order compact schemes for numerical simulation of incompressible flows

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  • 38 Currently reading

Published by Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, National Technical Information Service, distributor in Hampton, VA, Springfield, Va .
Written in English

    Subjects:
  • Incompressible flow.,
  • Navier-Stokes equation.,
  • Two dimensional flow.,
  • Three dimensional flow.,
  • Incompressible fluids.,
  • Direct numerical simulation.,
  • Computational fluid dynamics.,
  • Runge-kutta method.,
  • Finite difference theory.

  • Edition Notes

    Other titlesHigher order compact schemes for numerical simulation of incompressible flows
    StatementRobert V. Wilson and Ayodeji O. Demuren, Mark Carpenter.
    SeriesICASE report -- no. 98-13, [NASA contractor report] -- NASA/CR-1998-206922, NASA contractor report -- NASA CR-206922.
    ContributionsDemuren, A. O., Carpenter, Mark., Institute for Computer Applications in Science and Engineering.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL17129900M

    This book consists of 37 articles dealing with simulation of incompressible flows and applications in many areas. It covers numerical methods and algorithm developments as well as applications in aeronautics and other areas. It represents the state of the art in the field.   Galerkin (spectral) methods for numerical simulation of incompressible flows within simple boundaries are shown to possess many advantages over existing finite-difference methods. In this paper, the accuracy of Galerkin approximations obtained from truncated Fourier expansions is by:

    J Sci Comput () –89 DOI /s Weighted Non-linear Compact Schemes for the Direct Numerical Simulation of Compressible, Turbulent FlowsFile Size: 1MB. In the present work, a highly efficient incompressible flow solver with a semi-implicit time advancement on a fully staggered grid using a high-order compact difference scheme is developed firstly in the framework of approximate factorization. The fourth-order compact difference scheme is adopted for approximations of derivatives and interpolations in the incompressible Navier–Stokes by: 2.

    Zhong, X. and Tatineni, M., High-order non-uniform grid schemes for numerical simulation of hypersonic boundary-layer stability and transition. J. Comput. Phys. v Google Scholar Digital Library [21]. Shukla, R.K. and Zhong, X., Derivation of high-order compact finite difference schemes for non-uniform grid using polynomial interpolation. J. A high‐order compact scheme for solving the 2D steady incompressible Navier‐Stokes equations in general curvilinear coordinates. Numerical examples, including a test problem with an analytical solution, three types of lid‐driven cavity flow problems with unusual shapes and steady flow past a circular cylinder as well as an elliptic Author: Jinqiang Chen, Peixiang Yu, Zhen F. Tian, Hua Ouyang.


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Higher-order compact schemes for numerical simulation of incompressible flows Download PDF EPUB FB2

Key words, colnpact schemes, incoml)ressibh, flow simulation Subject classification. Fhfid Mechmfics 1. Introduction. For direct mtmerical sinmlation (DNS) of fluid flow problems, it is generally accepted that higher-order accurate methods nmst be used to mininfize dissipation and dispersion errors.

Higher-Order Compact Schemes for Numerical Simulation of Incompressible Flows, Part i: Theoretical Development Demuren, Ayodeji O.; Wilson, Robert V.

Abstract. Publication: Numerical Heat Transfer Part B - Fundamentals. Pub Date: March   Higher-Order Compact Schemes for Numerical Simulation of Incompressible Flows, Part II: Applications Wilson, Robert V.; Demuren, Ayodeji O.

Abstract. Publication: Numerical Heat Transfer Part B - Fundamentals. Pub Date: March Cited by: Higher-Order Compact Schemes for Numerical Simulation of Incompressible Flows Robert V. Wilson and Ayodeji O.

Demuren Old Dominion University Mark Carpenter NASA Langley Research Center Institute for Computer Applications in Science and Engineering NASA Langley Research Center Hampton, VA Operated by Universities Space Research Association.

HIGHER-ORDER COMPACT SCHEMES FOR NUMERICAL SIMULATION OF INCOMPRESSIBLE FLOWS, PART II: APPLICATIONS. Numerical Heat Transfer, Part B: Fundamentals: Vol.

39 Cited by: A higher order accurate numerical procedure has been developed for solving incompressible Navier-Stokes equations for 2D or 3D fluid flow problems.

Request PDF | HIGHER-ORDER COMPACT SCHEMES FOR NUMERICAL SIMULATION OF INCOMPRESSIBLE FLOWS, PART II: APPLICATIONS | A higher-order-accurate numerical procedure, developed for solving. A higher order accurate numerical procedure has been developed for solving incompressible Navier-Stokes equations for 2D or 3D fluid flow problems.

It is based on low-storage Runge-Kutta schemes for temporal discretization and fourth and sixth order compact finite-difference schemes for. A higher order accurate numerical procedure has been developed for solving incompressible Navier-Stokes equations for 2D or 3D fluid flow problems.

It is based on low-storage Runge-Kutta schemes for temporal discretization and fourth and sixth order compact finite-difference schemes for spatial discretization.

The particular difficulty of satisfying the divergence-free velocity field required. The numerical simulation of 2D unsteady, incompressible shear flow past square cylinder with an angle of incidence (α = 45°) is carried out in this paper.

Simulations are performed using ψ-ω formulation of Navier-Stokes equations on compact uniform grid. Higher Order Compact (HOC) formulation is used to discretize the governing by: 2.

In this paper, a finite difference code for Direct and Large Eddy Simulation (DNS/LES) of incompressible flows is presented. This code is an intermediate tool between fully spectral Navier–Stokes solvers (limited to academic geometry through Fourier or Chebyshev representation) and more versatile codes based on standard numerical schemes (typically only second-order accurate).Cited by: Higher-order compact schemes for numerical simulation of incompressible flows Author: Robert V Wilson ; A O Demuren ; Mark H Carpenter ; Institute for.

In this paper, a class of compact higher-order gas-kinetic schemes (GKS) with spectral-like resolution will be presented.

Based on the high-order gas evolution model, both the flux function and conservative flow variables in GKS can be evaluated explicitly from the time-accurate gas distribution function at a cell by: 8. This book consists of 37 articles dealing with simulation of incompressible flows and applications in many areas.

It covers numerical methods and algorithm developments as well as applications in aeronautics and other areas. It represents the state of the art in the field.

Contents: Navier–Stokes Solvers; Projection Methods; Finite Element. An‐Vo, N. Mai‐Duy, D. Strunin and T. Tran‐Cong, A generalised finite difference scheme based on compact integrated radial basis function for flow in heterogeneous soils, International Journal for Numerical Methods in Fluids, 85, 7, (), ().

Moser, Kim, and Mansour, Direct numerical simulation of turbulent channel flow up to Re τ =Physics of Flu (). zbMATH CrossRef Google Scholar 7. Kim, P. Moin, and R. Moser, Turbulence statistics in fully developed channel flow at low Reynolds number, Journal of Fluid Mechanics().

zbMATH CrossRef Cited by: Initially, the focus was on developing higher order explicit upwind methods for computing unsteady flows. Aftermajor developments have been towards high accuracy compact schemes.

Higher Order Explicit Upwinding Methods: In the first phase, duringthe activities were focused on developing and using explicit higher order upwinding schemes for solving unsteady flow problems.

() Weighted Non-linear Compact Schemes for the Direct Numerical Simulation of Compressible, Turbulent Flows. Journal of Scientific Computing() Discontinuous Galerkin finite element scheme for a conserved higher-order traffic flow model by exploring Riemann by: In this paper, a higher-order accuracy method is proposed for the solution of time-dependent nature convection problems based on the stream function-vorticity form of Navier–Stokes equations, in which an optimized third-order upwind compact scheme (Opt-UCD3) with high resolution is proposed to approximate the nonlinear convective terms, the fourth-order symmetrical Padé compact scheme is Cited by: 6.

of scheme, i.e., the compact difference scheme [20], its advantage is the very compact stencil points to achieve high order, and we aim to study whether it can provide help in wall turbulence simulation.

The popularity of the compact difference scheme in various branches of the computational fluid dynamics (CFD) should be ascribed to [20].Cited by: 2.

() A transient higher order compact scheme for incompressible viscous flows on geometries beyond rectangular. Journal of Computational Physics() Analytical study of the closure flow inside the ETRR-2 core by: Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems P.

G. Dlamini, 1 S. S. Motsa, 2 and M. Khumalo 1 1 Department of Mathematics, University of Johannesburg, P.O. BoxDoornfonteinSouth AfricaCited by: 1.Higher order collocated compact schemes forThe numerical simulation of incompressible flows Higher order collocated compact schemes forThe numerical simulation of incompressible flows.

G Trinath, Indian Institute of.