Interaction of Progressive Rarefaction Waves

In this paper, we consider the asymptotic decay rate towards the planar rarefaction waves to the Cauchy problem for a hyperbolic–elliptic coupled system called as a model system of the radiating gas in two dimensions. The analysis based on the standard L2-energy method, L1-estimate and the monotonicity of profile obtained by the maximum principle.

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Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas

Japan Journal of Applied Mathematics ◽

10.1007/bf03167088 ◽

1986 ◽

Vol 3 (1) ◽

pp. 1-13 ◽

Cited By ~ 153

Author(s):

Akitaka Matsumura ◽

Kenji Nishihara

Keyword(s):

Model System ◽

Dimensional Model ◽

Rarefaction Waves ◽

Viscous Gas ◽

One Dimensional ◽

Compressible Viscous Gas

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Stability of Rarefaction Waves to the 1D Compressible Navier–Stokes Equations with Density-Dependent Viscosity

Communications in Partial Differential Equations ◽

10.1080/03605302.2010.516785 ◽

2011 ◽

Vol 36 (4) ◽

pp. 602-634 ◽

Cited By ~ 39

Author(s):

Quansen Jiu ◽

Yi Wang ◽

Zhouping Xin

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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LOCA Simulation: Analysis of Rarefaction Waves Propagating Through Geometric Singularities

ASME 2011 Pressure Vessels and Piping Conference: Volume 4 ◽

10.1115/pvp2011-57326 ◽

2011 ◽

Author(s):

Fabien Crouzet ◽

Vincent Faucher ◽

Pascal Galon ◽

Philippe Piteau ◽

Patrick Izquierdo

Keyword(s):

Simulation Analysis ◽

Rarefaction Waves ◽

Test Rig ◽

Transient Wave ◽

Pressurized Water ◽

Dissipation Term ◽

Loss Of Coolant Accident ◽

Nuclear Plants ◽

Proposed Model ◽

Single Pipe

The propagation of a transient wave through an orifice is investigated for applications to Loss Of Coolant Accident in nuclear plants. An analytical model is proposed for the response of an orifice plate and implemented in the EUROPLEXUS fast transient dynamics software. It includes an acoustic inertial effect in addition to a quasi-steady dissipation term. The model is experimentally validated on a test rig consisting in a single pipe filled with pressurized water. The test rig is designed to generate a rapid depressurization of the pipe, by means of a bursting disk. The proposed model gives results which compare favourably with experimental data.

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