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Implementation of boundary conditions for optimized high-order compact schemes

By J.W. Kim and D.J. Lee

Abstract

The optimized high-order compact (OHOC) finite difference schemes, proposed as central schemes are used for aeroacoustic computations on interior nodes. On near-boundary nodes, accurate non-central or one-sided compact schemes are formulated and developed in this paper for general computations in domains with non-periodic boundaries. The near-boundary non-central compact schemes are optimized in the wavenumber domain by using Fourier error analysis. Analytic optimization methods are devised to minimize the dispersion and dissipation errors, and to obtain maximum resolution characteristics of the near-boundary compact schemes. With the accurate near-boundary schemes, the feasibility of implementing physical boundary conditions for the OHOC schemes are investigated to provide high-quality wave solutions. Characteristics-based boundary conditions and the free-field impedance conditions are used as the physical boundary conditions for direct computations of linear and nonlinear wave propagation and radiation. It is shown that the OHOC schemes present accurate wave solutions by using the optimized near-boundary compact schemes and the physical boundary condition

Topics: TL
Year: 1997
OAI identifier: oai:eprints.soton.ac.uk:23041
Provided by: e-Prints Soton

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Citations

  1. (1993). A study of short wave components in computational acoustics,"
  2. Application of low dissipation and dispersion RungeKutta schemes to benchmark problems in computational aeroacoustics,"
  3. (1992). Boundary conditions for direct simulations of compressible viscous flow,"
  4. (1993). Compact finite difference schemes with spectral-like resolution,"
  5. (1993). Dispersion-relation-preserving schemes for computational acoustics,"
  6. (1995). Evaluation of boundary conditions for computational aeroacoustics,"
  7. (1982). Far field boundary conditions for compressible flows""
  8. (1990). Far field expansion for anisotropic wave equations,"
  9. (1993). Inflow-outflow boundary conditions for two-dlmensional acoustic waves in channels with flow"
  10. Non-reflecting boundary conditions for Euler equation calculations,"
  11. Numerical simulation of nonlinear waves using optimized high-order compact schemes," CFD J. accepted for publication.
  12. (1995). Numerical study of sound generation due to a spinning vortex pair,"
  13. (1995). Optimized compact finite difference schemes for solving wave equations,"
  14. (1996). Optimized compact finite difference schemes with maximum resolulion,"
  15. (1996). Optimized high-order compact schemes for linear and nonlinear wave generation and propagation,"
  16. (1987). Time-dependent boundary conditions for hyperbolic systems,"
  17. (1990). Time-dependent boundary conditions for hyperbolic systems,II,"

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