An Effective Fourth Order Finite Volume Method for DNS/LES on Non-Uniform Grid

Abstract

This paper is concerned with the development of a fourth order Finite Volume scheme for the numerical solution of the incompressible Navier-Stokes equations on non-uniform grids. In fact, the use of non-uniform computational grids is inevitable in handling non-homogeneous flow computations, while numerical simulation of turbulent flows demand for higher order schemes. The effective high order accuracy is obtained by reformulating the momentum equation in terms of a fourth order deconvolved velocity field. Both a proper integration and flux reconstruction is implemented for the space discretization. A Fractional Time-Step method for the pressure-velocity de-coupling is adopted and a second order semi-implicit scheme is used for the time integration. Particular attention has been devoted in developing congruent time-accurate intermediate boundary conditions for the predictor step.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 2001
Accession Number
ADP013658

Entities

People

  • F. Iannelli
  • F. M. Denaro
  • G. De Stefano

Organizations

  • University of Naples Federico II

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Computational Fluid Dynamics
  • Computational Science
  • Equations
  • Errors
  • Flow
  • Integral Equations
  • Integrals
  • Large Eddy Simulation
  • Navier Stokes Equations
  • Pressure Gradients
  • Simulations
  • Stratified Fluids
  • Technical Information Centers
  • Turbulent Flow
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space