%0 Journal Article %1 chalons.magiera.ea:finite:2018 %A Chalons, Christophe %A Magiera, Jim %A Rohde, Christian %A Wiebe, Maria %B Theory, Numerics and Applications of Hyperbolic Problems I %C Cham %D 2018 %E Klingenberg, Christian %E Westdickenberg, Michael %I Springer International Publishing %J Springer Proc. Math. Stat. %K from:sylviazur imported vorlaeufig %P 309--322 %R https://doi.org/10.1007/978-3-319-91545-6_25 %T A finite-volume tracking scheme for two-phase compressible flow %U https://doi.org/10.1007/978-3-319-91545-6_25 %X We propose a finite-volume tracking method in multiple space dimensions to approximate weak solutions of the hydromechanical equations that allow two-phase behavior. The method relies on a moving mesh ansatz such that the phase boundary is represented as a sharp interface without any artificial smearing. At the interface, an approximate solver is applied, such that the exact Riemann solution is not required. From precedent work, it is known that the method is locally conservative and recovers planar traveling wave solutions exactly. To demonstrate the efficiency and reliability of the new scheme, we test it on various situations for liquid--vapor flow. %@ 978-3-319-91545-6

@article{chalons.magiera.ea:finite:2018, abstract = {We propose a finite-volume tracking method in multiple space dimensions to approximate weak solutions of the hydromechanical equations that allow two-phase behavior. The method relies on a moving mesh ansatz such that the phase boundary is represented as a sharp interface without any artificial smearing. At the interface, an approximate solver is applied, such that the exact Riemann solution is not required. From precedent work, it is known that the method is locally conservative and recovers planar traveling wave solutions exactly. To demonstrate the efficiency and reliability of the new scheme, we test it on various situations for liquid--vapor flow.}, added-at = {2020-03-27T19:25:07.000+0100}, address = {Cham}, author = {Chalons, Christophe and Magiera, Jim and Rohde, Christian and Wiebe, Maria}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2f650afd2a296ec375c567bc1f79dc64b/mathematik}, booktitle = {Theory, Numerics and Applications of Hyperbolic Problems I}, doi = {https://doi.org/10.1007/978-3-319-91545-6_25}, editor = {Klingenberg, Christian and Westdickenberg, Michael}, interhash = {7268454a4170cd8685b833f404ce667f}, intrahash = {f650afd2a296ec375c567bc1f79dc64b}, isbn = {978-3-319-91545-6}, journal = {Springer Proc. Math. Stat.}, keywords = {from:sylviazur imported vorlaeufig}, pages = {309--322}, publisher = {Springer International Publishing}, timestamp = {2020-03-30T17:48:08.000+0200}, title = {A finite-volume tracking scheme for two-phase compressible flow}, url = {https://doi.org/10.1007/978-3-319-91545-6_25}, year = 2018 }