A new parallel solver for the nonperiodic incompressible Navier-Stokes equations with a Fourier method: Application to frontal polymerization

DOI10.1006/jcph.1998.6017zbMath0926.76084OpenAlexW2262156282MaRDI QIDQ1268319

Marc Garbey, Damien Tromeur-Dervout

Publication date: 5 December 1999

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.6017

zbMATH Keywords

Chebyshev polynomialsFourier expansionsembedding techniquerapidly varying quasi-planar unsteady combustion fronts

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Statistical mechanics of polymers (82D60) Spectral methods applied to problems in fluid mechanics (76M22) Combustion (80A25) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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Asymptotic Fourier coefficients for a \(C^\infty\) bell (smoothed-``top-hat) \& the Fourier extension problem ⋮ Fourier embedded domain methods: Extending a function defined on an irregular region to a rectangle so that the extension is spatially periodic and \(C^{\infty}\) ⋮ A Fourier Extension Based Numerical Integration Scheme for Fast and High-Order Approximation of Convolutions with Weakly Singular Kernels ⋮ Parallel algorithms with local Fourier basis ⋮ A parallel adaptive coupling algorithm for systems of differential equations ⋮ A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds

Cites Work

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• Using MAPLE for the analysis of bifurcation phenomena in condensed-phase surface combustion
• Spectral multidomain technique with local Fourier basis
• Spectral multidomain technique with local Fourier basis. II: Decomposition into cells
• Adaptive pseudo-spectral domain decomposition and the approximation of multiple layers
• EXISTENCE OF MULTIDIMENSIONAL TRAVELLING WAVES AND SYSTEMS OF WAVES
• Two-Dimensional Combustion Modes in Condensed Flow
• Domain Decomposition to Solve Transition Layers and Asymptotics
• Massively parallel computation of stiff propagating combustion fronts
• Influence of natural convection on stability of reaction fronts in liquids
• On Some Applications of the Superposition Principle with Fourier Basis
• Linear stability analysis of reaction fronts in liquids

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