The search result changed since you submitted your search request. Documents might be displayed in a different sort order.
  • search hit 5 of 19
Back to Result List

A robust conservative mixed finite element method for compressible flow on pipe networks

  • We consider the numerical approximation of compressible flow in a pipe net- work. Appropriate coupling conditions are formulated that allow us to derive a variational characterization of solutions and to prove global balance laws for the conservation of mass and energy on the whole network. This variational principle, which is the basis of our fur- ther investigations, is amenable to a conforming Galerkin approximation by mixed finite elements. The resulting semi-discrete problems are well-posed and automatically inherit the global conservation laws for mass and energy from the continuous level. We also consider the subsequent discretization in time by a problem adapted implicit time stepping scheme which leads to conservation of mass and a slight dissipation of energy of the full discretization. The well-posedness of the fully discrete scheme is established and a fixed-point iteration is proposed for the solution of the nonlinear systems arising in every single time step. Some computational results are presented for illustration of our theoretical findings and for demon- stration of the robustness and accuracy of the new method

Download full text files

Export metadata

Metadaten
Author:Herbert Egger
Document Type:Review
Language:English
Date of Publication (online):2016/09/16
Date of first Publication:2016/09/16
Release Date:2016/09/16
Institutes:Technische Universität Darmstadt
Subprojects:C04