Numerical Treatment of Polar Coordinate Singularities

By Kamran Mohseni, Tim Colonius. 2000

353 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/75f75e0304c6c45faafe132d89f0ee3c094d2e0e

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In Computational Mechanics

Citations in the corpus

Influence of nozzle-exit boundary-layer conditions on the flow and acoustic fields of initially laminar jets (2010, methodology): “The axis singularity is taken into account by the method proposed by Mohseni & Colonius (2000).”
Acoustic resonance in the potential core of subsonic jets (2017, methodology): “Radiation boundary conditions are enforced using a ‘super-grid’ damping layer (Colonius & Ran 2002) truncated by Thompson (1987) characteristic conditions, and pole conditions are implemented using the scheme of Mohseni & Colonius (2000).”
Fully resolved simulations of particle-turbulence interaction (2003, methodology): “All differencing and averaging across the poles is done using the procedure described by Mohseni & Colonius (2000).”
Wavepackets and trapped acoustic modes in a turbulent jet: coherent structure eduction and global stability (2017, methodology): “The radial-streamwise plane is discretized by fourth-order summation by parts-finite differences developed by Mattsson & Nordström (2004), and the polar singularity is treated as in Mohseni & Colonius (2000).”
Numerical experiments on vortex ring formation (2001, methodology): “At the boundary we use a buer zone (Freund 1997) to absorb the waves, and the polar coordinate centreline treatment proposed by Mohseni & Colonius (2000) is used.”
Highly energy-conservative finite difference method for the cylindrical coordinate system (2002, background): “In the recent studies of FDM in the cylindrical coordinates [13, 15,16], focus has been put mainly on the treatment of singularity at the cylindrical axis.”