Garcke, Harald; Nürnberg, Robert; Zhao, Quan Unfitted finite element methods for axisymmetric two-phase flow. (English) Zbl 07742013 J. Sci. Comput. 97, No. 1, Paper No. 14, 25 p. (2023). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76T06 65N30 PDFBibTeX XMLCite \textit{H. Garcke} et al., J. Sci. Comput. 97, No. 1, Paper No. 14, 25 p. (2023; Zbl 07742013) Full Text: DOI arXiv
Agnese, Marco; Nürnberg, Robert Fitted front tracking methods for two-phase ncompressible Navier-Stokes flow: Eulerian and ALE finite element discretizations. (English) Zbl 1471.76084 Int. J. Numer. Anal. Model. 17, No. 5, 613-642 (2020). MSC: 76T99 76M10 35Q30 65M60 76D05 PDFBibTeX XMLCite \textit{M. Agnese} and \textit{R. Nürnberg}, Int. J. Numer. Anal. Model. 17, No. 5, 613--642 (2020; Zbl 1471.76084) Full Text: arXiv Link
Garcke, Harald; Hinze, Michael; Kahle, Christian Optimal control of time-discrete two-phase flow driven by a diffuse-interface model. (English) Zbl 1437.35575 ESAIM, Control Optim. Calc. Var. 25, Paper No. 13, 31 p. (2019). MSC: 35Q35 49N45 49M05 65K10 76T10 76D05 76M10 65M60 PDFBibTeX XMLCite \textit{H. Garcke} et al., ESAIM, Control Optim. Calc. Var. 25, Paper No. 13, 31 p. (2019; Zbl 1437.35575) Full Text: DOI arXiv
Aland, Sebastian; Hahn, Andreas; Kahle, Christian; Nürnberg, Robert Comparative simulations of Taylor flow with surfactants based on sharp- and diffuse-interface methods. (English) Zbl 1391.76769 Bothe, Dieter (ed.) et al., Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer (ISBN 978-3-319-56601-6/hbk; 978-3-319-56602-3/ebook). Advances in Mathematical Fluid Mechanics, 639-661 (2017). MSC: 76T10 76M10 PDFBibTeX XMLCite \textit{S. Aland} et al., in: Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer. 639--661 (2017; Zbl 1391.76769) Full Text: DOI Link
Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias Fully adaptive and integrated numerical methods for the simulation and control of variable density multiphase flows governed by diffuse interface models. (English) Zbl 1391.76551 Bothe, Dieter (ed.) et al., Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer (ISBN 978-3-319-56601-6/hbk; 978-3-319-56602-3/ebook). Advances in Mathematical Fluid Mechanics, 305-353 (2017). MSC: 76M25 76T10 76D55 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., in: Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer. 305--353 (2017; Zbl 1391.76551) Full Text: DOI
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Stable finite element approximations of two-phase flow with soluble surfactant. (English) Zbl 1349.76175 J. Comput. Phys. 297, 530-564 (2015). MSC: 76M10 65M60 65M12 76T10 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., J. Comput. Phys. 297, 530--564 (2015; Zbl 1349.76175) Full Text: DOI Link
Barrett, John W.; Garcke, Harald; Nürnberg, Robert A stable parametric finite element discretization of two-phase Navier-Stokes flow. (English) Zbl 1320.76059 J. Sci. Comput. 63, No. 1, 78-117 (2015). MSC: 76M10 65M60 76D05 76Txx PDFBibTeX XMLCite \textit{J. W. Barrett} et al., J. Sci. Comput. 63, No. 1, 78--117 (2015; Zbl 1320.76059) Full Text: DOI arXiv
Barrett, John W.; Garcke, Harald; Nürnberg, Robert On the stable numerical approximation of two-phase flow with insoluble surfactant. (English) Zbl 1315.35156 ESAIM, Math. Model. Numer. Anal. 49, No. 2, 421-458 (2015). MSC: 35Q35 65M12 76D05 76D27 76M10 65M60 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 2, 421--458 (2015; Zbl 1315.35156) Full Text: DOI arXiv
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow. (English) Zbl 1286.76040 Comput. Methods Appl. Mech. Eng. 267, 511-530 (2013). MSC: 76D07 76M10 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., Comput. Methods Appl. Mech. Eng. 267, 511--530 (2013; Zbl 1286.76040) Full Text: DOI arXiv
Nürnberg, Robert Numerical simulations of immiscible fluid clusters. (English) Zbl 1162.76030 Appl. Numer. Math. 59, No. 7, 1612-1628 (2009). MSC: 76M10 76R10 76T10 PDFBibTeX XMLCite \textit{R. Nürnberg}, Appl. Numer. Math. 59, No. 7, 1612--1628 (2009; Zbl 1162.76030) Full Text: DOI Link