Numerical Eulerian method for linearized gas dynamics in the high frequency regime

DOI10.1007/S00211-013-0598-5zbMath1342.76106OpenAlexW1995456616MaRDI QIDQ398755

Youness Noumir, François Dubois, Olivier Lafitte

Publication date: 15 August 2014

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-013-0598-5

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hydro- and aero-acoustics (76Q05)

Cites Work

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• Asymptotic solutions of oscillatory initial value problems
• Asymptotic solution of eigenvalue problems
• Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
• High frequency and numerical Eulerian methods for aeroacoustic problems
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Asymptotic methods in electromagnetism
• Viscosity solutions of Hamilton-Jacobi equations
• A geometrical optics-based numerical method for high frequency electromagnetic fields computations near fold caustics. I
• A geometric optics method for high-frequency electromagnetic fields computations near fold caustics. II: The energy
• Numerical solution of the high frequency asymptotic expansion for the scalar wave equation
• A DISSIPATION-FREE TIME-DOMAIN DISCONTINUOUS GALERKIN METHOD APPLIED TO THREE-DIMENSIONAL LINEARIZED EULER EQUATIONS AROUND A STEADY-STATE NON-UNIFORM INVISCID FLOW
• Two Approximations of Solutions of Hamilton-Jacobi Equations
• Waves and Mean Flows
• Viscosity Solutions of Hamilton-Jacobi Equations
• Conical refraction in crystal optics and hydromagnetics
• High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
• A Viscosity Solutions Approach to Shape-From-Shading
• Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
• Computational high frequency wave propagation
• Coherent and focusing multidimensional nonlinear geometric optics
• Boundary value problems for first order operators
• Symmetric hyperbolic linear differential equations
• Asymptotic expansions of solutions of (▽²+k²)u=0

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