Journal ArticleDOI
Pseudo-spectral calculations of shock waves, rarefaction waves and contact surfaces
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In this paper, a Chebyshev expansion approach is employed to solve the one dimensional compressible flow equations for flows with large gradients, and a technique for controlling oscillations is presented.About:
This article is published in Computers & Fluids.The article was published on 1981-12-01. It has received 10 citations till now. The article focuses on the topics: Rarefaction & Longitudinal wave.read more
Citations
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Journal ArticleDOI
Progress in computational physics
TL;DR: In this article, recent progress in computational methods for time dependent fluid dynamics is presented with the emphasis on advances applicable to large scale systems with the connection between the numerics and the physics of the code stressed All aspects of a working code are discussed including initialization, boundary conditions, grid generation in addition to algorithmic advances.
Journal ArticleDOI
Spectral methods for the Euler equations. I - Fourier methods and shock capturing
TL;DR: Fourier shock-capturing techniques are evaluated using a one-dimensional, periodic astrophysical 'nozzle' problem and basic concepts of Fourier spectral collocation methods are provided.
A numerical study of nonlinear effects on boundary-layer stability
TL;DR: In this article, a spectral scheme is used to solve for the unsteady, two-dimensional flow over a flat plate in the Reynolds number range of transition, where the relative phase of the first and second harmonics is related to the nonlinear stability of the waves.
Journal ArticleDOI
Numerical Modeling of Tidal Effects in Polytropic Accretion Disks
TL;DR: In this article, a two-dimensional time-dependent hybrid Fourier-Chebyshev method of collocation is developed and used for the study of tidal effects in accretion disks, under the assumptions of a polytropic equation of state and a standard alpha viscosity prescription.
Book ChapterDOI
Spectral methods for compressible plow problems
TL;DR: In this paper, a review of recent results concerning numerical simulation of shock wave using spectral methods is reviewed. And the notion of the information contained in the numerical results obtained by spectral methods and how this information is recovered was discussed.
References
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Journal ArticleDOI
Fully multidimensional flux-corrected transport algorithms for fluids
TL;DR: In this paper, the critical flux limiting stage is implemented in multidimensions without resort to time splitting, which allows the use of flux-corrected transport (FCT) techniques in multi-dimensional fluid problems for which time splitting would produce unacceptable numerical results.
Journal ArticleDOI
Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works
Jay P. Boris,David L. Book +1 more
TL;DR: A class of explicit, Eulerian finite-difference algorithms for solving the continuity equation which are built around a technique called “flux correction,” which yield realistic, accurate results.
Journal ArticleDOI
Transition to turbulence in plane Poiseuille and plane Couette flow
TL;DR: In this article, direct numerical solutions of the Navier-stokes equations are presented for the evolution of three-dimensional finite-amplitude disturbances of plane Poiseuille and plane Couette flows.
Journal ArticleDOI
Flux-corrected transport. III. Minimal-error FCT algorithms
Jay P. Boris,David L. Book +1 more
TL;DR: Improved FCT algorithms are found to be four to eight times more accurate than standard non-FCT algorithms, nearly twice as accurate as the original SHASTA FCT algorithm, and approach the accuracy of the optimal algorithm.
Journal ArticleDOI
The accuracy, efficiency, and stability of three numerical models with application to open ocean problems
TL;DR: In this paper, the inviscid barotropic vorticity equation is integrated under a variety of assumed initial and boundary conditions corresponding to linear and nonlinear box modes, forced nonlinear boxes modes, and linear nonlinear Rossby waves (with and without mean advection).