On the modeling and simulation of boundary flow through partially open pipe ends

  • Peter Bartsch
  • Alfio BorzìEmail author
Original Paper


The determination of boundary conditions for the Euler equations of gas dynamics in a pipe with partially open pipe ends is considered. The boundary problem is formulated in terms of the exact solution of the Riemann problem and of the St. Venant equation for quasi-steady flow so that a pressure-driven calculation of boundary conditions is defined. The resulting set of equations is solved by a Newton scheme. The proposed algorithm is able to solve for all inflow and outflow situations including choked and supersonic flow.

Mathematics Subject Classification (2000).

65M06 76N15 35L65 


Euler equations of gas dynamics boundary conditions calculation partially open pipe ends Riemann solver St. Venant equation 


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Copyright information

© Birkhäuser Verlag, Basel 2004

Authors and Affiliations

  1. 1.Powertrain Systems, Passenger CarsAVL List GmbHGraz
  2. 2.Institut für MathematikKarl-Franzens-Universität GrazGraz

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