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Teaching

If you are a student looking for a course homepage, please access it through CatCourses Graduate Courses Fall 2020, Math 292: Special Topics, Boundary Integral Methods, jointly taught (UCM - remote) Spring 2020, Math 222: Partial Differential Equations (UCM - partially remote) Spring 2019, Math 222...

Publications

M. Santiago, K. A. Mitchell, S. Khatri⋄, Numerical method for modeling photosynthesis of algae on pulsating soft corals, Physical Review Fluids, 7(3):033102, 2022, Editors’ Suggestion. M. Santiago, N. A. Battista, L. A. Miller, S. Khatri, Passive concentration dynamics incorporated into the library IB2d, a two-dimensional implementation of the immersed boundary method, Bioinspiration & Biomimetics, 17(3):036003, 2022 (pdf) (link) (Supplemental Data) T. L. Mandel, D. Z. Zhou, L. Waldrop, M. Theillard, D. Kleckner, S. Khatri, Retention of rising oil droplets in density stratification, Physical Review Fluids, 5(12):124803, 2020 (pdf) (Supplementary Material: Movie1, Movie2) (link) S. Khatri, A. D. Kim, R. Cortez, C. Carvalho, Close evaluation of layer potentials in three dimensions, 423:109798, 2020 (pdf) (link) E. Yoo, S. Khatri, F. Blanchette, Hydrodynamic forces on randomly formed marine aggregates, Physical Review Fluids, 5:044305, 2020 (pdf) (link) C. Carvalho, S. Khatri, A. D. Kim, Asymptotic approximation for the close evaluation of double-layer potentials, SIAM Journal on Scientific Computing, 42:A504-A533, 2020 (pdf) (link) J. E. Samson, L. A. Miller, D. Ray, R. Holzman, U. Shavit, S. Khatri, A novel mechanism of mixing by pulsing corals, Journal of Experimental Biology, 222:1-13, 2019 (pdf) (Supplementary Information: Movie1, Movie2) (link) L. D. Waldrop, Y. He, S. Khatri, What can computational modeling tell us about the diversity of odor-capture structures in the Pancrustacea?, Journal of Chemical Ecology, 44(12):1084-1100, 2018 (pdf) (link) C. Carvalho, S. Khatri, A. D. Kim, Asymptotic analysis for close evaluation of layer potentials, Journal of Computational Physics, 355:327-341, 2018 (pdf) (link) J. E. Samson, N. A. Battista, S. Khatri, and L. A. Miller, Pulsing corals: A story of scale and mixing, Biomath 6:1712169, 2017 (pdf) (Supplementary Material: Movie1, Movie2, Movie3) (link) M. Panah, F. Blanchette, and S. Khatri, Simulations of a porous particle settling in a density-stratified ambient fluid, Physical Review Fluids, 2:114303, 2017 (pdf) (Supplemental Material: Video1, Video2, Video 3) (link) C. Carvalho, S. Khatri, and A. D. Kim, Local analysis of near fields in acoustic scattering, 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Minneapolis, MN, 2017 (pdf) N. A. Battista, J. E. Samson, S. Khatri, and L. A. Miller, Under the sea: Pulsing corals in ambient flow, Mathematical Methods and Models in Biosciences, International Conference BIOMATH 2017, Kruger Park, 2017 (pdf) (link) L. D. Waldrop, L. A. Miller, S. Khatri, A tale of two antennules: the performance of crab odour- capture organs in air and water, Journal of The Royal Society Interface, 13(125):20160615, 2016 (pdf) (Supplementary Information: MovieS1, MovieS2, MovieS3, MovieS4) (link) S. Khatri and A.-K. Tornberg, An embedded boundary method for soluble surfactants with interface tracking for two phase flows, Journal of Computational Physics, 256:768-790, 2014 (pdf) (link) R. Camassa, S. Khatri, R. M. McLaughlin, J. C. Prairie, B. L. White, and S. Yu, Retention and entrainment effects: Experiments and theory for porous spheres settling in sharply stratified fluids, Physics of Fluids, 25:081701, 2013 (pdf) (link) J. C. Prairie, K. Ziervogel, C. Arnosti, R. Camassa, C. Falcon, S. Khatri, R. McLaughlin, B. L. White, and S. Yu, Delayed settling of marine snow at sharp density transitions driven by fluid entrainment and diffusion-limited retention, Marine Ecology Progress Series, 487:185-200, 2013 (pdf) (link) R. Camassa, S. Khatri, R. McLaughlin, K. Mertens, D. Nenon, C. Smith, and C. Viotti, Numerical simulations and experimental measurements of dense-core vortex rings in a sharply stratified environment, Computational Science & Discovery, 6:014001, 2013 (pdf) (link) S. Khatri and A.-K. Tornberg, A numerical method for two phase flows with insoluble surfactants, Computers & Fluids, 49:150-165, 2011 (pdf) (link) S. Khatri and A.-K. Tornberg, A numerical method for soluble surfactants on moving interfaces, Proceedings in Applied Mathematics and Mechanics, Special Issue: Sixth International Congress on Industrial and Applied Mathematics and GAMM Annual Meeting, 7(1):1024509-1024510, 2007 (pdf) (link)

Lab Members

Shilpa Khatri Assistant Professor Applied Mathematics skhatri3@ucmerced.edu Lab: SE1 235 Office: ACS 367 Shayna Bennett Graduate Student Applied Mathematics sbennett3@ucmerced.edu ACS 358C Adam Binswanger Graduate Student Applied Mathematics abinswanger@ucmerced.edu ACS 342B Sarah Downs Graduate...