Huang, Jinzi Mac; Shelley, Michael J.; Stein, David B. A stable and accurate scheme for solving the Stefan problem coupled with natural convection using the immersed boundary smooth extension method. (English) Zbl 07511695 J. Comput. Phys. 432, Article ID 110162, 21 p. (2021). MSC: 65Mxx 80Axx 76Dxx PDFBibTeX XMLCite \textit{J. M. Huang} et al., J. Comput. Phys. 432, Article ID 110162, 21 p. (2021; Zbl 07511695) Full Text: DOI arXiv
Fang, Fang; Ho, Kenneth L.; Ristroph, Leif; Shelley, Michael J. A computational model of the flight dynamics and aerodynamics of a jellyfish-like flying machine. (English) Zbl 1383.76574 J. Fluid Mech. 819, 621-655 (2017). MSC: 76Z10 76G25 74F10 92-08 76-05 76M25 PDFBibTeX XMLCite \textit{F. Fang} et al., J. Fluid Mech. 819, 621--655 (2017; Zbl 1383.76574) Full Text: DOI
Moore, Matthew N. J.; Ristroph, Leif; Childress, Stephen; Zhang, Jun; Shelley, Michael J. Self-similar evolution of a body eroding in a fluid flow. (English) Zbl 1320.76035 Phys. Fluids 25, No. 11, Paper No. 116602, 25 p. (2013). MSC: 76D10 74F10 76-05 PDFBibTeX XMLCite \textit{M. N. J. Moore} et al., Phys. Fluids 25, No. 11, Paper No. 116602, 25 p. (2013; Zbl 1320.76035) Full Text: DOI Link
Keaveny, Eric E.; Shelley, Michael J. Applying a second-kind boundary integral equation for surface tractions in Stokes flow. (English) Zbl 1391.76454 J. Comput. Phys. 230, No. 5, 2141-2159 (2011). MSC: 76M15 65N38 76D07 76M22 PDFBibTeX XMLCite \textit{E. E. Keaveny} and \textit{M. J. Shelley}, J. Comput. Phys. 230, No. 5, 2141--2159 (2011; Zbl 1391.76454) Full Text: DOI
Fast, Petri; Shelley, Michael J. Moore’s law and the Saffman-Taylor instability. (English) Zbl 1216.76025 J. Comput. Phys. 212, No. 1, 1-5 (2006). MSC: 76E17 76D27 PDFBibTeX XMLCite \textit{P. Fast} and \textit{M. J. Shelley}, J. Comput. Phys. 212, No. 1, 1--5 (2006; Zbl 1216.76025) Full Text: DOI
Lindner, Anke; Derks, D.; Shelley, M. J. Stretch flow of thin layers of Newtonian liquids: fingering patterns and lifting forces. (English) Zbl 1187.76317 Phys. Fluids 17, No. 7, Paper No. 072107, 13 p. (2005). MSC: 76-XX PDFBibTeX XMLCite \textit{A. Lindner} et al., Phys. Fluids 17, No. 7, Paper No. 072107, 13 p. (2005; Zbl 1187.76317) Full Text: DOI Link
Fast, Petri; Shelley, Michael J. A moving overset grid method for interface dynamics applied to non-Newtonian Hele–Shaw flow. (English) Zbl 1087.76084 J. Comput. Phys. 195, No. 1, 117-142 (2004). MSC: 76M25 76A05 76D27 PDFBibTeX XMLCite \textit{P. Fast} and \textit{M. J. Shelley}, J. Comput. Phys. 195, No. 1, 117--142 (2004; Zbl 1087.76084) Full Text: DOI
Fast, Petri; Kondic, L.; Shelley, Michael J.; Palffy-Muhoray, Peter Pattern formation in non-Newtonian Hele-Shaw flow. (English) Zbl 1184.76156 Phys. Fluids 13, No. 5, Paper No. 1191, 22 p. (2001). MSC: 76-XX PDFBibTeX XMLCite \textit{P. Fast} et al., Phys. Fluids 13, No. 5, Paper No. 1191, 22 p. (2001; Zbl 1184.76156) Full Text: DOI
Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J. Boundary integral methods for multicomponent fluids and multiphase materials. (English) Zbl 1046.76029 J. Comput. Phys. 169, No. 2, 302-362 (2001). MSC: 76M15 76T30 76E17 74S15 PDFBibTeX XMLCite \textit{T. Y. Hou} et al., J. Comput. Phys. 169, No. 2, 302--362 (2001; Zbl 1046.76029)
Shelley, Michael J.; Ueda, Tetsuji The Stokesian hydrodynamics of flexing, stretching filaments. (English) Zbl 1049.76016 Physica D 146, No. 1-4, 221-245 (2000). MSC: 76D07 74F10 76M22 PDFBibTeX XMLCite \textit{M. J. Shelley} and \textit{T. Ueda}, Physica D 146, No. 1--4, 221--245 (2000; Zbl 1049.76016) Full Text: DOI
Goldstein, Raymond E.; Pesci, Adriana I.; Shelley, Michael J. Instabilities and singularities in Hele-Shaw flow. (English) Zbl 1185.76632 Phys. Fluids 10, No. 11, 2701-2723 (1998). MSC: 76E99 76D99 76S05 PDFBibTeX XMLCite \textit{R. E. Goldstein} et al., Phys. Fluids 10, No. 11, 2701--2723 (1998; Zbl 1185.76632) Full Text: DOI
Beale, J. T.; Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J. Spatial and temporal stability issues for interfacial flows with surface tension. (English) Zbl 0816.76050 Math. Comput. Modelling 20, No. 10-11, 1-27 (1994). MSC: 76M15 76B45 76B15 65N12 PDFBibTeX XMLCite \textit{J. T. Beale} et al., Math. Comput. Modelling 20, No. 10--11, 1--27 (1994; Zbl 0816.76050) Full Text: DOI
Hou, Thomas Y.; Lowengrub, John S.; Shelley, Michael J. Removing the stiffness from interfacial flows with surface tension. (English) Zbl 0810.76095 J. Comput. Phys. 114, No. 2, 312-338 (1994). MSC: 76V05 76B45 76D45 76M25 76M20 PDFBibTeX XMLCite \textit{T. Y. Hou} et al., J. Comput. Phys. 114, No. 2, 312--338 (1994; Zbl 0810.76095) Full Text: DOI Link
Shelley, M. J. A study of singularity formation in vortex-sheet motion by a spectrally accurate vortex method. (English) Zbl 0775.76047 J. Fluid Mech. 244, 493-526 (1992). MSC: 76E05 PDFBibTeX XMLCite \textit{M. J. Shelley}, J. Fluid Mech. 244, 493--526 (1992; Zbl 0775.76047) Full Text: DOI