PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

A 4th-Order Staggered Compact Finite Difference Method for the Three-Dimensional Incompressible Navier-Stokes Equations

Identyfikatory
Warianty tytułu
Konferencja
French-Polish Seminar of Mechanics (19 ; 8-11.06. 2011 ; Perpignan, France)
Języki publikacji
EN
Abstrakty
EN
The objective of this work is the developement and assessment of a fourth-order compact scheme for the three-dimensional unsteady incompressible viscous flows. The equations of the flow are discretized on a staggered grid and using fourth-order compact scheme for the three directions. The accuracy of the method is demonstrated in the Taylor-Green vortex problem. Finally, the turbulent natural convection in a vertical channel is investigated to validate the numerical methods.
Rocznik
Strony
7--18
Opis fizyczny
Bibliogr. 22 poz., wykr.
Twórcy
autor
autor
autor
Bibliografia
  • Abide, S., Viazzo, S., 2005, A 2d compact fourth-order projection decomposition method, Journal of Computational Physics, 206(1), 252-276.
  • Bell, J. B., Colella, P., Głaz, H. M., 1989, A second order projection method for the incompressible Navier-Stokes equations, Journal of Computational Physics, 85, 257.
  • Brown, D. L., Cortez, R., Minion, M. L., 2001, Accurate projection methods for the incompressible Navier-Stokes equations, Journal of Computational Physics, 168(2), 464-499.
  • Demuren, A. O., Wilson, R. V., Carpenter, M., 2001, Higher order compact schemes for numerical simulation of incompressible flows, part 1: theroretical development, Numerical heat transfer, Part B, fundamentals, 39, 207-230.
  • Harlow, F. H., Welch, J. E., 1965, Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface, 8(12), 2182-2189.
  • Hokpunna, A., Manhart, M., 2010, Compact fourth-order finite volume method for numerical solutions of Navier-Stokes equations on staggered grids, Journal of Computational Physics, 229(20), 7545-7570.
  • Johnston, H., Liu, J. G., 2004, Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term, Journal of Computational Physics, 199(1), 221-259.
  • Kim, J. W., 2007, Optimised boundary compact finite difference schemes for computational aeroacoustics, Journal of Computational Physics, 225(1), 995-1019.
  • Knikker, R., 2009, Study of a staggered fourth-order compact scheme for unsteady incompressible viscous flows, International Journal for Numerical Methods in Fluids, 59(10), 1063-1092.
  • Kotsovinos, N. E., 1991, Turbulence spectra in free convection flow, 3(1), 163-167.
  • Laizet, S., Lamballais, E., 2009, High-order compact schemes for incompressible flows: A simple and efficient method with quasi-spectral accuracy, Journal of Computational Physics, 228( 16), 5989-6015.
  • Lele, S. K., 1992, Compact finite difference schemes with spectral-like resolution, Journal of Computational Physics, 103(1), 16-42.
  • Lynch, R. E., Rice, J. R., Thomas, D. H., 1964, Direct solution of partial difference equations by tensor product methods, Numerische Mathematik, 6, 185-199.
  • Manna, M., Vacca, A., Deville, M. O., 2004, Preconditioned spectral multi-domain discretization of the incompressible Navier-Stokes equations, Journal of Computational Physics, 201(1), 204-223.
  • Morinishi, Y., Lund, T. S., Vasilyev, O. V., Moin, P., 1998, Fully conservative higher order finite difference schemes for incompressible flow, Journal of Computational Physics, 143(1), 90-124.
  • Nagarajan, S., Lele, S. K., Ferziger, J. H., 2003, A robust high-order compact method for large eddy simulation, Journal of Computational Physics, 191(2), 392-419.
  • Park, N., Yoo, J. Y., Choi, H., 2004, Discretization errors in large eddy simulation: on the suitability of centered and upwind-biased compact difference schemes, Journal of Computational Physics, 198(2), 580-616.
  • Pinelli, A., Vacca, A., Quarteroni, A., 1997, A spectral multidomain method for the numerical simulation of turbulent flows, Journal of Computational Physics, 136(2), 546-558.
  • Pozrikidis, C., 2001, A note on the regularization of the discrete Poisson-Neumann problem, Journal of Computational Physics, 172(2), 917-923.
  • Schiestel, R., Viazzo, S., 1995, A hermitian-fourier numerical method for solving the incompressible Navier-Stokes equations, Computers and Fluids, 24(6), 739-752.
  • Versteegh, T. A. M., Nieuwstadt, F. T. M., 1998, Turbulent budgets of natural convection in an infinite, differentially heated, vertical channel, International Journal of Heat and Fluid Flow, 19(2), 135-149.
  • Visbal, M. R., Gaitonde, D. V., 2002, On the use of higher-order finite-difference schemes on curvilinear and deforming meshes, Journal of Computational Physics, 181(1), 155-185.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA0-0054-0010
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.