Numerical Treatment of Cylindrical Coordinate Centerline Singularities

DOI10.1080/10618560108970032zbMath1009.76065OpenAlexW2134909668MaRDI QIDQ2770883

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Publication date: 27 April 2003

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618560108970032

zbMATH Keywords

radial derivativefinite difference approximationcylindrical coordinate systemgrid singularityazimuthal derivativescenterline instabilitytwo-dimensional polar grid

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15)

Related Items (5)

An Examination of the Spatial Resolution Requirements for LES of a Compressible Jet ⋮ A note on a conservative finite volume approach to address numerical stiffness in polar meshes ⋮ A high-resolution scheme for axisymmetric hydrodynamics based on the 2D GRP solvers ⋮ Conservative averaging-reconstruction techniques (ring average) for 3-D finite-volume MHD solvers with axis singularity ⋮ Radially Symmetrical Problems for Compressible Fluids with a High-Resolution Boundary Condition

Cites Work

• Dispersion-relation-preserving finite differene schemes for computational acoustics
• \(2N\)-storage low dissipation and dispersion Runge-Kutta schemes for computational acoustics
• Several new numerical methods for compressible shear-layer simulations
• Conservation equations of gasdynamics in curvilinear coordinate systems
• Implicit Finite-Difference Simulations of Three-Dimensional Compressible Flow
• Geometric Conservation Law and Its Application to Flow Computations on Moving Grids
• Generalized Coordinate Forms of Governing Fluid Equations and Associated Geometrically Induced Errors
• Use of Linearized Euler Equations for Supersonic Jet Noise Prediction

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