Conservative Smoothing on an Adaptive Quadrilateral Grid

Meiu Son, K. Takayama

Research output: Contribution to journalArticlepeer-review

141 Citations (Scopus)


The Lax-Wendroff scheme can be freed of spurious oscillations by introducing conservative smoothing. In this paper the approach is first tested in 1-D modeling equations and then extended to multidimensional flows by the finite volume method. The scheme is discretized by a space-splitting method on an adaptive quadrilateral grid. The artificial viscosity coefficients in the conservative smoothing step are specially designed to capture slipstreams and vortices. Algorithms are programmed using a vectorizable data structure, under which not only the flow solver but also the adaptation procedure is well vectorized. The good resolution and high efficiency of the approach are demonstrated in calculating both unsteady and steady compressible flows with either weak or strong shock waves.

Original languageEnglish
Pages (from-to)143-180
Number of pages38
JournalJournal of Computational Physics
Issue number1
Publication statusPublished - 1999 Mar 20


  • Adaptation
  • Artificial dissipation
  • Central scheme
  • Conservative smoothing
  • Quadrilateral grid
  • Vectorization

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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