摘要

A patched grid technique is proposed with the aim of increasing the flexibility and efficiency of high-order finite difference schemes for multiblock computational aeroacoustics. The patched characteristic interface conditions allow arbitrarily positioned nonmatching grid points along each side of the internal block boundaries. The work extends the characteristic interface conditions originally proposed to treat the problem of grid singularity associated with structured grids and high-order finite difference schemes. A simple method of generalizing the original characteristic interface conditions theory for arbitrary block coordinate alignments is also outlined. The new interface condition is implemented into a high-order computational aeroacoustics code to solve either the Euler or Navier-Stokes equations. The patch algorithm makes use of a high-order optimized interpolation method to approximate the characteristic convection terms at corresponding locations along the block interface. The result is an interface condition that provides better management of cell distribution in the computational domain while at the same time providing a treatment to the grid singularity problem associated with complex geometries. Several test cases are used to demonstrate the flexibility of the new interface condition and to investigate various parameters. The computed results are shown to be in excellent agreement with exact solutions.

  • 出版日期2010-11