Finite differences for coarse azimuthal discretization and for reduction of effective resolution near origin of cylindrical flow equations

DOI10.1016/j.jcp.2010.10.031zbMath1391.76461OpenAlexW1970146070MaRDI QIDQ630343

Christophe Bogey, Christophe Bailly, Nicolas de Cacqueray

Publication date: 17 March 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.10.031

zbMATH Keywords

cylindrical coordinatesfinite differencesflow equationshigh-orderazimuthal discretization

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (7)

Influence of initial turbulence level on the flow and sound fields of a subsonic jet at a diameter-based Reynolds number of 10⁵ ⋮ Feedback loop and upwind-propagating waves in ideally expanded supersonic impinging round jets ⋮ On noise generation in low Reynolds number temporal round jets at a Mach number of 0.9 ⋮ Acoustic tones in the near-nozzle region of jets: characteristics and variations between Mach numbers 0.5 and 2 ⋮ Effects of nozzle-exit boundary-layer profile on the initial shear-layer instability, flow field and noise of subsonic jets ⋮ Steepened Mach waves near supersonic jets: study of azimuthal structure and generation process using conditional averages ⋮ Generation of acoustic tones in round jets at a Mach number of 0.9 impinging on a plate with and without a hole

Cites Work

• Unnamed Item
• Pole condition for singular problems: The pseudospectral approximation
• Dispersion-relation-preserving finite differene schemes for computational acoustics
• High-order, low dispersive and low dissipative explicit schemes for multiple-scale and boundary problems
• A shock-capturing methodology based on adaptative spatial filtering for high-order non-linear computations
• Compact finite difference schemes with spectral-like resolution
• Conservation equations of gasdynamics in curvilinear coordinate systems
• A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
• Highly energy-conservative finite difference method for the cylindrical coordinate system
• A highly accurate technique for the treatment of flow equations at the polar axis in cylindrical coordinates using series expansions.
• A formulation of Navier-Stokes problem in cylindrical coordinates applied to the 3D entry jet in a duct
• A spectral method for polar coordinates
• A finite-difference scheme for three-dimensional incompressible flows in cylindrical coordinates
• An efficient method for temporal integration of the Navier-Stokes equations in confined axisymmetric geometries
• Numerical treatment of polar coordinate singularities
• On the application of explicit spatial filtering to the variables or fluxes of linear equations
• Influence of nozzle-exit boundary-layer conditions on the flow and acoustic fields of initially laminar jets
• Direct computation of the sound generated by vortex pairing in an axisymmetric jet
• A Pseudospectral Approach for Polar and Spherical Geometries
• Computational aeroacoustics - Issues and methods
• Numerical study of eigenmode forcing effects on jet flow development and noise generation mechanisms
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions

This page was built for publication: Finite differences for coarse azimuthal discretization and for reduction of effective resolution near origin of cylindrical flow equations