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3 edition of A time-accurate high-resolution TVD scheme for solving the Navier-Stokes equations found in the catalog.

A time-accurate high-resolution TVD scheme for solving the Navier-Stokes equations

Hyun Dae Kim

A time-accurate high-resolution TVD scheme for solving the Navier-Stokes equations

by Hyun Dae Kim

  • 32 Want to read
  • 18 Currently reading

Published by National Aeronautics and Space Administration, National Technical Information Service, distributor in [Washington, DC, Springfield, Va .
Written in English

    Subjects:
  • Boundary layer.,
  • Navier-Stokes equations.

  • Edition Notes

    Other titlesTime accurate high resolution TVD scheme ....
    StatementHyun Dae Kim and Nan-Suey Liu.
    SeriesNASA technical memorandum -- 106056.
    ContributionsLiu, Nan-Suey., United States. National Aeronautics and Space Administration.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL14690924M

    made in the high resolution numerical schemes based on the Total Vari-ation Diminishing (TVD) prindple, introduced by Harten [10] to develop oscillation-free schemes. The TVD schemes are very robust for transient problems and shocks capturing (11]. Further details of these schemes csn be found in the recent book by Hirsh [12]. The upwind scheme showed a higher numerical diffusion than the high-resolution schemes, considering the two interpolation techniques in ELM step-ii (RMSE ~ times higher, Table 4). For the high-resolution schemes, the numerical diffusion was reduced mainly when combined with the quadratic interpolation in ELM (RMSE ~3 times smaller).Author: Augusto Hugo Farias Cunha, Carlos Ruberto Fragoso, Matheus Henrique Tavares, J. Rafael Cavalcanti, M.

    J. L. C. Chang and D. Kwok, "A Three-Dimensional Incompressible Flow Simulation Method and Its Application to the SSME”, AIAA- , S. E. Rogers and D. Kwok, ”An Upwind Differencing Scheme for the Time Accurate Incompressible Navier-Stokes Equations, AIAA , The author includes material on the numerical computation of potential flows and on the most up-to-date methods for Euler and Navier-Stokes equations. The coverage is comprehensive and includes detailed discussion of numerical techniques and algorithms, including implementation topics such as .

    The application of the TVD scheme to the chromatographic equation requires to (1) compute g" = g (c l) ;(2) advance the solution by one time level with the TVD scheme where the general variables u and F(u) have been replaced by the appropriate unknown and numerical flux, as shown for the FCT scheme and (3) go back from g to c 1 with c'i" = g. Flux-Corrected Transport: Principles, Algorithms, and Applications David L. Book (auth.), Dr. Dmitri Kuzmin, Prof. Rainald Löhner, Prof. Dr. Stefan Turek (eds.) Addressing students and researchers as well as CFD practitioners, this book describes the state of the art in the development of high-resolution schemes based on the Flux-Corrected.


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A time-accurate high-resolution TVD scheme for solving the Navier-Stokes equations by Hyun Dae Kim Download PDF EPUB FB2

Computers Fluids Vol. 22, No. 4/5, pp./93 $ + Printed in Great Britain Pergamon Press Ltd A TIME-ACCURATE HIGH-RESOLUTION TVD SCHEME FOR SOLVING THE NAVIER-STOKES EQUATIONS HYUN DAE KIM and NAN-SUEY LIut NASA Lewis Research Center, MS, Cleveland, OHU.S.A. (Received 11 February ) Abstract--A TVD scheme has Cited by: 4.

Get this from a library. A time-accurate high-resolution TV scheme for solving the Navier-Stokes equations. [Hyun Dae Kim; Nan-Suey Liu; United States. National Aeronautics and. CONCLUSION We have seen that the Coarse Grid Correction scheme for implicit multiblock compu- tations can be extended to time accurate Navier-Stokes calculations.

Using 32 blocks, the CPU time required for a given level of accuracy is reduced by at least a factor of two compared to using explicit coupling between the blocks, emphasising the Cited by: 1. Using the artificial viscosity approach, Shah et al. [14] developed a time accurate upwind higher order accurate compact finite difference scheme to solve Navier-Stokes equations.

High-resolution TVD schemes in finite volume method the simulation of dam-break flows by solving the Navier-Stokes equations of weakly compressible and variable density flows in open channels. SIAM Journal on Numerical Analysis() A High Resolution NV/TVD Finite Volume Scheme for the Regularized Long Wave Equation.

() Development of a Compact and Accurate Discretization for Incompressible Navier-Stokes Equations Based on an Equation-Solving Solution Gradient: Gradient Limiters for High-Reynolds-Number Flows. Cited by: American Institute of Aeronautics and Astronautics Sunrise Valley Drive, Suite Reston, VA () A Single-Step Characteristic-Curve Finite Element Scheme of Second Order in Time for the Incompressible Navier-Stokes Equations.

Journal of Scientific Computing() Domain decomposition with characteristic finite difference method for two-phase displacement by: The time-accurate, multistage, Navier–Stokes, turbomachinery solver TURBO was used to calculate the aeroperformance of a 2 1 ∕ 2 stage, highly loaded, high-speed, axial compressor.

The goals of the research project were to demonstrate completion times for multistage, time-accurate simulations that are consistent with inclusion in the design process and to assess the influence of differing Cited by: They cover numerical techniques for solving Euler and Navier-Stokes equations and other models of fluid flow, along with a number of papers on applications.

Besides the 88 contributed papers by research workers from all over the world, the book also includes 6. Tenth International Conference on Numerical Methods in Fluid Dynamics Time accurate solutions of the Navier-Stokes equations for reacting flows.

Pages Dwyer, H. (et al.) Numerical experiments with a symmetric high-resolution shock-capturing scheme.

Pages Implicit finite difference schemes for solving two dimensional and three dimensional Euler and Navier-Stokes equations will be addressed. The methods are demonstrated in fully vectorized codes for a CRAY type architecture. We shall concentrate on the Beam and Warming implicit approximate factorization algorithm in generalized coordinates.

This paper presents a new finite volume cell-centered scheme for solving the two-dimensional Euler equations. The technique for computing the advective derivatives is based on a high-order Gauss quadrature and an original quadratic reconstruction of the conservative variables for each control by: @article{osti_, title = {Effects of inlet distortion on the flow field in a transonic compressor rotor}, author = {Hah, C and Rabe, D C and Sullivan, T J and Wadia, A R}, abstractNote = {The effects of circumferential distortions in inlet total pressure on the flow field in a low-aspect-ratio, high-speed, high-pressure-ratio, transonic compressor rotor are investigated in this paper.

Daru and Tenaud [“Evaluation of TVD high resolution schemes for unsteady viscous shocked flows,” Comput. Flu 89– ()] proposed a two-dimensional model problem as a numerical test case for high-resolution schemes to simulate the flow field in a square closed shock tube.

Though many researchers attempted this problem using a Cited by: 7. Virtual Zone Navier-Stokes Computations for Oscillating Control Surfaces p. The Domain Decomposition Method and Compact Discretization for the Navier-Stokes Equations p.

Viscous Flow Modelling Using Unstructured Meshes for Aeronautical Applications p. Upwind Numerical Scheme for a Two-Fluid Two-Phase Flow Model p. The latter approach, to be presented shortly, treats the equations as a collection of wave equations and the TVD scheme has to be applied with each equation considered as a scalar conservation law.

To our knowledge, such an approach has not been attempted in literature and. procedures in solving dynamical systems. For this paper, the phrase "to study the dynamics of numerics" (dynamical behavior of a numerical scheme) is restricted to the study of nonlinear and long time behaviors of nonlinear difference equations resulting from finite discretizationsFile Size: 6MB.

Get this from a library. Tenth International Conference on Numerical Methods in Fluid Dynamics: proceedings of the conference, held at the Beijing Science Hall, Beijing, China, June[Fenggan Zhuang; Youlan Zhu;].

Engel K., Eulitz F., Pokorny S., Faden M. () 3-D Navier-Stokes Solver for the Simulation of the Unsteady Turbomachinery Flow on a Massively Parallel Hardware Architecture. In: Hirschel E.H. (eds) Flow Simulation with High-Performance Computers II. Notes on Numerical Fluid Mechanics (NNFM), vol Vieweg+Teubner VerlagCited by: 6.

After a review of mathematical models of fluid flow, methods for solving the transonic potential flow equation (of mixed type) are examined. The central part of the article discusses the formulation and implementation of shock‐capturing schemes for the Euler and Navier–Stokes equations.Abstract.

Given the greater efficiency of algorithms, coupled with ever-faster computers with increased memory capacity, it is becoming more practical to calculate flow over complex configurations using direct solutions of the differential equations (Euler equations for inviscid flows, Navier-Stokes for viscous flows) representing mass, momentum and energy conservation : Josef Rom.Feldman Y and Gelfgat A () On pressure-velocity coupled time-integration of incompressible Navier-Stokes equations using direct inversion of Stokes operator or accelerated multigrid technique, Computers and Structures,(), Online publication date: 1-Jun