Skip to Main content Skip to Navigation

A Numerical Convergence Study of some Open Boundary Conditions for Euler equations

Abstract : We discuss herein the suitability of some open boundary conditions while comparing approximate solutions of one-dimensional Riemann problems in a bounded sub-domain with the restriction in this sub-domain of the exact solution in the infinite domain, considering the Euler system of gas dynamics. Assuming that no information is known from outside of the domain, some basic open boundary condition specifications are given, and a measure of the L 1 norm of the error inside the computational domain enables to show consistency errors in situations involving outgoing shock waves, depending on the chosen boundary condition formulation. This investigation has been performed with Finite Volume methods, using approximate Riemann solvers in order to compute numerical fluxes for both inner and boundary interfaces.
Complete list of metadatas

Cited literature [14 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02422802
Contributor : Jean-Marc Hérard <>
Submitted on : Tuesday, January 28, 2020 - 3:23:02 PM
Last modification on : Tuesday, February 11, 2020 - 2:05:52 PM

File

FVCA9revision-280120.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02422802, version 2

Collections

Citation

Clément Colas, Martin Ferrand, Jean-Marc Hérard, Olivier Hurisse, Erwan Le Coupanec, et al.. A Numerical Convergence Study of some Open Boundary Conditions for Euler equations. Finite Volumes for Complex Applications FVCA9, Jun 2020, Bergen, Norway. ⟨hal-02422802v2⟩

Share

Metrics

Record views

69

Files downloads

19