M. T. Warnez and E. Johnsen, Numerical modeling of bubble dynamics in viscoelastic media with relaxation, Physics of Fluids 27, 063103 (2015, doi).
E. Vlaisavljevich, K. Lin, A. Maxwell, M. T. Warnez, L. Mancia, et al., Effects of ultrasound frequency and tissue stiffness on the histotripsy intrinsic threshold for cavitation, Ultrasound in Medicine and Biology 41(6), 1651-1667 (2015, doi).
R. Gaudron, M. T. Warnez, and E. Johnsen Bubble dynamics in a viscoelastic medium with nonlinear elasticity, Journal of Fluid Mechanics 766, 54-75 (2015, doi).
E. Vlaisavljevich, K. Lin, M. T. Warnez, R. Singh, L. Mancia, et al., Effects of tissue stiffness, ultrasound frequency, and pressure on histotripsy-induced cavitation bubble behavior, Physics in Medicine and Biology 60, 2271 (2015, doi).
E. Vlaisavljevich, A. Maxwell, M. Warnez, E. Johnsen, C. Cain, and Z. Xu, Histotripsy-induced cavitation cloud initiation threshold in tissue of different mechanical properties, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 61(2), 341-252 (2014, doi).
Radial response a 1.5 micron bubble in a Phan-Thien-Tanner fluid to harmonic forcing. Pseudocolor in the fluid measures mean stress.
Presentations
Conference presentations
Damage Mechanisms For Ultrasound-induced Cavitation In Tissue, M. T. Warnez and E. Johnsen. 14th International Symposium on Therapeutic Ultrasound, Las Vegas, NV, April 2014 (slides).
A numerical model for large-amplitude spherical bubble dynamics in tissue, M. T. Warnez and E. Johnsen. 166th Meeting of the Acoustical Society of America, San Francisco, CA, December 2013 (abstract, slides).
Inertial cavitation threshold in nonlinear viscoelastic media, M. T. Warnez and E. Johnsen. 66th Annual Meeting of the American Physical Societys Division of Fluid Dynamics, Pittsburgh, PA, November 2013 (abstract, slides).
Poster presentations
A split-step solution to the Gray-Scott equations, KAUST Winter Enrichment Program, Thuwal, Saudi Arabia, January 2013 (poster). Also presented at Cyberinfrastructure Days 2012, University of Michigan Advanced Research Computing, Ann Arbor, MI, November 2012 (abstract).
Group presentations
Numerical integration methods in viscoelastic bubble dynamics, presented to University of Michigan Computational Flow Physics Laboratory, Ann Arbor, MI, September 2013 (slides).
Projects
Independent studies
Reduced temporal convergence rates in high-order splitting schemes (arXiv:1310.3901).
Orthogonal coordinate system for following hourglass magnetic fields (Physics 415 report).
Viscoelastic bubble mechanics in theory and experiments (BME 490 report).
A case study in collocation: Heat transfer effects in cavitation bubble dynamics (ME 490 report).
