[PDF] A Multidomain Spectral Method For Supersonic Reactive Flows eBook

Author : Wai-Sun Don
Publisher : DIANE Publishing
Page : 32 pages
File Size : 48,95 MB
Release : 2002
Category : Aerodynamics, Supersonic
ISBN :

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This paper has a dual purpose: it presents a multidomain Ohebyshev method for the solution of the two-dimensional reactive compressible Navier-Stokes equations and it reports the results of the application of this code to the numerical simulations of high Mach number reactive flows in recessed cavity. The computational method utilizes newly derived interface boundary conditions as well as an adaptive filtering technique to stabilize the computations. The results of the simulations are relevant to recessed cavity flameholders.

Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
Page : 30 pages
File Size : 12,71 MB
Release : 2018-08-27
Category :
ISBN : 9781726153836

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This paper has a dual purpose: it presents a multidomain Chebyshev method for the solution of the two-dimensional reactive compressible Navier-Stokes equations, and it reports the results of the application of this code to the numerical simulations of high Mach number reactive flows in recessed cavity. The computational method utilizes newly derived interface boundary conditions as well as an adaptive filtering technique to stabilize the computations. The results of the simulations are relevant to recessed cavity flameholders.Don, Wai-Sun and Gottlieb, David and Jung, Jae-Hun and Bushnell, Dennis M. (Technical Monitor)Langley Research CenterCHEBYSHEV APPROXIMATION; SUPERSONIC FLOW; COMPUTERIZED SIMULATION; SPECTRAL METHODS; MATHEMATICAL MODELS; FLOW DISTRIBUTION; REACTING FLOW; MACH NUMBER; NAVIER-STOKES EQUATION; BOUNDARY CONDITIONS; FLAME HOLDERS; COMPRESSIBLE FLOW; TWO DIMENSIONAL FLOW...

Author : Jan S. Hesthaven
Publisher : Cambridge University Press
Page : 4 pages
File Size : 34,37 MB
Release : 2007-01-11
Category : Mathematics
ISBN : 113945952X

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Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of spectral methods, allowing the reader to understand the techniques through numerous examples as well as more rigorous developments. They provide a detailed treatment of methods based on Fourier expansions and orthogonal polynomials (including discussions of stability, boundary conditions, filtering, and the extension from the linear to the nonlinear situation). Computational solution techniques for integration in time are dealt with by Runge-Kutta type methods. Several chapters are devoted to material not previously covered in book form, including stability theory for polynomial methods, techniques for problems with discontinuous solutions, round-off errors and the formulation of spectral methods on general grids. These will be especially helpful for practitioners.

Author :
Publisher :
Page : 0 pages
File Size : 20,86 MB
Release : 1998
Category :
ISBN :

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The overarching goal of this research was to construct stable, robust and efficient high order accurate computational methods for long time integration of nonlinear partial differential equations. High order accuracy methods (Spectral, Finite Difference and Finite Elements) for the numerical simulations of flows with discontinuities, in complex geometries were developed. In particular applications in supersonic combustion were emphasized. Specific research subjects included: Robust high order compact difference schemes, ENO and WENO schemes, discontinuous Galerkin methods, the resolution of the Gibbs phenomenon, parallel computing and high order accurate boundary conditions. In order to overcome the difficulties stemming from complicated geometries, we have developed multidomain techniques as well as spectral methods on arbitrary grids. Several multidimensional codes for supersonic reactive flows had been constructed as well as a library of spectral codes (Pseudopack).