Multi-block Poisson grid generator for cascade simulations

Andreas Gross, Hermann F. Fasel

Research output: Contribution to journalArticlepeer-review

61 Scopus citations


High quality computational grids can greatly enhance the accuracy of turbine and compressor cascade simulations especially when time-dependent results are sought where vortical structures are convected through the computational domain. A technique for generating periodic structured grids for cascade simulations based on the Poisson equations is described. To allow for more complex geometries, the grid can be divided into individual zones or blocks. The grids are generated simultaneously in all blocks, assuring continuity of the grid lines and their slopes across the zonal boundaries. Simple geometric rules can be employed for enforcing orthogonality at block boundaries. The method results in grids with low grid distortion by allowing both, block boundaries and grid points on physical boundaries, to move freely. Results are presented for a linear turbine and a linear compressor cascade.

Original languageEnglish (US)
Pages (from-to)416-428
Number of pages13
JournalMathematics and Computers in Simulation
Issue number3
StatePublished - Dec 1 2008


  • Cascade simulations
  • Multi-block
  • Poisson grid generator

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science
  • Numerical Analysis
  • Modeling and Simulation
  • Applied Mathematics


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