We investigate the accuracy of the Godunov scheme applied to the variable cross-section acoustic equations. Contrarily to the constant cross-section case, the accuracy issue of this scheme in the low Mach number regime appears even in the one-dimensional case; on the other hand, we show that it is possible to construct another Godunov type scheme which is accurate in the low Mach number regime. © Springer-Verlag Berlin Heidelberg 2011.
CITATION STYLE
Dellacherie, S., & Omnes, P. (2011). On the Godunov Scheme Applied to the Variable Cross-Section Linear Wave Equation. Springer Proceedings in Mathematics, 4, 313–321. https://doi.org/10.1007/978-3-642-20671-9_33
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