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Journal ArticleDOI

Numerical Treatment of Polar Coordinate Singularities

TLDR
In this paper, a method for treating the coordinate singularity whereby singular coordinates are redefined so that data are differentiated smoothly through the pole, and avoiding placing a grid point directly at the pole is proposed.
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This article is published in Journal of Computational Physics.The article was published on 2000-01-20. It has received 313 citations till now. The article focuses on the topics: Curvilinear coordinates & Coordinate singularity.

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Citations
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Progress-variable approach for large-eddy simulation of turbulent combustion

TL;DR: In this paper, a new approach to chemistry modeling for large eddy simulation of turbulent reacting flows is developed instead of solving transport equations for all of the numerous species in a typical chemical mechanism and modeling the unclosed chemical source terms, whereby all of detailed chemical processes are mapped to a reduced system of tracking scalars.
Journal ArticleDOI

Influence of nozzle-exit boundary-layer conditions on the flow and acoustic fields of initially laminar jets

TL;DR: In this paper, the effects of the nozzle-exit conditions on the flow and sound fields of initially laminar jets are computed by large-eddy simulations (LES) to investigate the effects.
Journal ArticleDOI

Wavepackets in the velocity field of turbulent jets

TL;DR: In this article, the velocity field of unforced, high Reynolds number, subsonic jets, issuing from round nozzles with turbulent boundary layers, is measured using a hot-wire anemometer and a stereoscopic, time-resolved PIV system.
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Large-eddy simulation of the flow and acoustic fields of a Reynolds number 10 5 subsonic jet with tripped exit boundary layers

TL;DR: In this paper, large-eddy simulations of isothermal round jets at a Mach number of 09 and a diameter-based Reynolds number ReD of 105 originating from a pipe are performed using low-dissipation schemes in combination with relaxation filtering.
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Fully resolved simulations of particle-turbulence interaction

TL;DR: In this paper, the interaction between a fixed particle and decaying homogeneous isotropic turbulence is studied numerically using an overset grid that provides resolution of all scales of fluid motion.
References
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Computational methods for fluid dynamics

TL;DR: This text develops and applies the techniques used to solve problems in fluid mechanics on computers and describes in detail those most often used in practice, including advanced techniques in computational fluid dynamics.
Journal ArticleDOI

Compact finite difference schemes with spectral-like resolution

TL;DR: In this article, the authors present finite-difference schemes for the evaluation of first-order, second-order and higher-order derivatives yield improved representation of a range of scales and may be used on nonuniform meshes.
Book

Spectral Methods in Fluid Dynamics

TL;DR: Spectral methods have been widely used in simulation of stability, transition, and turbulence as discussed by the authors, and their applications to both compressible and incompressible flows, to viscous as well as inviscid flows, and also to chemically reacting flows are surveyed.
Journal ArticleDOI

Spectral Methods in Fluid Dynamics.

TL;DR: In this article, the authors present a set of methods for the estimation of two-dimensional fluid flow, including a Fourier Galerkin method and a Chebyshev Collocation method.
MonographDOI

Numerical analysis of spectral methods : theory and applications

TL;DR: Spectral Methods Survey of Approximation Theory Review of Convergence Theory Algebraic Stability Spectral Methods Using Fourier Series Applications of algebraic stability analysis Constant Coefficient Hyperbolic Equations Time Differencing Efficient Implementation of Spectral Method as discussed by the authors.
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