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1 results

  • An Optimized Correction Procedure via Reconstruction Formulation for Broadband Wave Computation

  • Yi Li, Z.J. Wang
  • Journal:
    Communications in Computational Physics / Volume 13 / Issue 5 / May 2013
    Published online by Cambridge University Press:
    03 June 2015, pp. 1265-1291
    Print publication:
    May 2013

  • Recently, a new differential discontinuous formulation for conservation laws named the Correction Procedure via Reconstruction (CPR) is developed, which is in-spired by several other discontinuous methods such as the discontinuous Galerkin (DG), the spectral volume (SV)/spectral difference (SD) methods. All of them can be unified under the CPR formulation, which is relatively simple to implement due to its finite-difference-like framework. In this paper, a different discontinuous solution space including both polynomial and Fourier basis functions on each element is employed to compute broad-band waves. Free-parameters introduced in the Fourier bases are optimized to minimize both dispersion and dissipation errors through a wave propagation analysis. The optimization procedure is verified with a mesh resolution analysis. Numerical results are presented to demonstrate the performance of the optimized CPR formulation.