Kyle T. Mandli

Associate Professor

Address:
Columbia University in the City of New York
Applied Physics and Applied Mathematics Department
288 Engineering Terrace
Mail Code: 4701
New York, NY 10027
USA
Phone: (212) 854-4485
Fax: (212) 854-8257
E-mail: kyle.mandli@columbia.edu
Office: 288 Engineering Terrace

Research Interests

My research is primarily concerned with how to apply finite volume methods, adaptive mesh refinement, and other computational science approaches to a variety of geophysical flow problems, including storm surges and tsunamis. These flows all have shallow water characteristics, which allow us to apply the same general methods to many different flows. My research specifically revolves around two main ideas: the first is to adapt current models so they can easily be solved in a depth averaged context, and the second is to implement robust and efficient solvers for the simulation of these flows. Additionally, I work to ensure that the solvers are accessible to the people who need them, e.g. debris flow modelers, field geologists, and others who are responsible for hazard preparation and response. Consequently, I strive to adhere to good software development practices, such as literate programming, and to design frameworks that are easy to extend and maintain.

CV -- Google Scholar Profile

Recent Publications

Extreme Water Level Simulation and Component Analysis in Delaware Estuary during Hurricane Isabel.
Yin, D., Munoz, D.F., Bakhtyar, R., Xue, Z.G., Moftakhari, H., Ferreira, C., and Mandli, K. T.
Journal of the American Water Resources Association (2021).
Inter-model comparison of Delft3D-FM and 2D HEC-RAS for Total Water Level Prediction in Coastal to Inland Transition Zones
D. Munoz, D. Yin, R. Bakhtyar, H. Moftakhari, G. Xue, K. T. Mandli, C. Ferreira.
Journal of the American Water Resources Association (2021).
Numerical Considerations for Quantifying Air-Water Turbulence with Moment Field Equations.
C. J. Conroy, K. T. Mandli, E. J. Kubatko.
Water Waves (2021)
High-Speed GIS-Based Simulation of Storm Surge-Induced Flooding Accounting for Sea Level Rise.
Miura, Y., Deodatis, G. Mandli, K.T.
Natural Hazards Review, 22(3) (2021).
Fractally homogeneous, air-sea turbulence with Frequency-integrated, wind-driven gravity waves.
Conroy, C.J., Mandli, K.T. Kubatko, E.J.
Journal of Fluid Mechanics, 917, A39 (2021).
A Methodological Framework for Determining an Optimal Coastal Protection Strategy against Storm Surges and Sea Level Rise.
Miura, Y., Qureshi, H. Chanyang, R., Dinenis, P. C., Li, J., K.T. Mandli, Deodatis, G/, Bienstock, D., Lazrus, H., and Morss, R.
Natural Hazards, March 8, 2021.
An h-Box Method for Shallow Water Equations Including Barriers.
Li, J., and Mandli, K.T.
SIAM Journal on Scientific Computing 43, no. 2 (January 2021): B431-54.
Towards the Next Generation of Tsunami Impact Simulations.
S. Marras, K. T. Mandli.
MDPI GeoSciences (2020).
Continental Scale Heterogenous Channel Routing Strategy for Operational and Forecast Models.
E. Meselhe, M. Asgari, K. Flint, S. Matus, K. T. Mandli, E. White.
Journal of the American Water Resources Association (2020)
Tropical cyclone hazard to Mumbai.
Sobel, A.H., Lee, C., Camargo, S., Qureshi, H., Mandli, K.T., Emmanuel, K. Mukhopadhyay, P. Mahakur, M.
Monthly Weather Review (2019).
Displacement Interpolation Using Monotone Rearrangement.
Rim, D., Mandli, K. T.
SIAM/ASA Journal on Uncertainty Quantification 6, 1503-1531 (2018).

Teaching

Courses that I have taught over the years:
Introduction to numerical method (APMA 4300)
Primarily an intro to the basics of numerical approximations to continuous functions and linear algebra. Includes ODE solvers, the basics of polynomial approximations, optimizations and the very begninnings of boundary value problems.
Numerical methods for PDEs (APMA 4301)
Using finite different approaches discuss stability and convergence of all categories of PDEs including mixed forms ending with more general forms of approaches.
Method in computational science (APMA 4302)
Introduce and explore many of the tools used in computational science and engineering (CS&E). Also discuss the primary technologies used in modern high-performance computing including current emerging technologies and bottle necks.
Book co-written with some wonderful people on Teaching and Learning with Jupyter. Of course this is always a work in progress.