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Title of Journal: Numer Math

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Abbravation: Numerische Mathematik

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Springer Berlin Heidelberg

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DOI

10.1007/s00431-003-1366-9

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ISSN

0945-3245

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Numerical Eulerian method for linearized gas dynam

Authors: Youness Noumir François Dubois Olivier Lafitte
Publish Date: 2013/12/17
Volume: 127, Issue: 4, Pages: 641-683
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Abstract

We study the propagation of an acoustic wave in a moving fluid in the high frequency regime We calculate the asymptotic approximation of the solution around a mean flow of this problem using an Eulerian method By introducing the stretching matrix deformation tensor for the geometrical optics rays of the linearized Euler system we deduce the geometrical spreading This quantity is the key tool for computing the leading order term of the asymptotic expansion thanks to a conservation equation along the group velocity The main contribution is to construct and implement a numerical scheme in the Eulerian framework for the eikonal equation and for the transport equation on the stretching matrix We present numerical results for several test cases to study the convergence and validate our approach

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  2. A new class of symplectic integration schemes based on generating functions
  3. An optimal adaptive finite element method for elastoplasticity
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  7. Multi-parameter regularization and its numerical realization
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