Applications
Astrophysics
- Wave propagation in solar atmosphere.
- Core collapse of supernovas
- Stellar convection
- Proto-neutron star evolution
Selected Publications
F. Fuchs, A. McMurry, S. Mishra and K. Waagan, Simulating waves in the upper solar atmospherew with SURYA: A well-balanced high-order finite volume code, Astrophysical Journal,732 (2), 2011, 75.
R. Käppeli and S. Mishra, Well-balanced schemes for the Euler equations with gravitation, J. Comput. Phys., 259, 2014, 199-219.
R. Käppeli and S. Mishra, A well-balanced finite volume scheme for the Euler equations with gravitation-The exact preservation of hydrostatic equilibrium with arbitrary entropy stratification, Astronomy and Astrophysics, 587, 2016, A94.
Climate Science
- Accurate large eddy simulation (LES) of statocumulus clouds.
Selcted Publications
K. Pressel, C. Kaul, Z. Tan, T. Schneider and S. Mishra, Large-eddy simulation in an an elastic framework with closed water and entropy balances, Journal of Advances in Modeling Earth Systems (JAMES), 2016, 7 (3), 1425-1456.
I K. G. Pressel, S. Mishra, T. Schneider, C. M. Kaul and Z. Tan, Numerics and Subgrid-Scale Modeling in Large Eddy Simulations of Stratocumulus Clouds, Journal of Advances in Modeling Earth Systems (JAMES), 9 (2), 2017, 1342-1365.
Geophysics
- Sub-surface multiphase flow for reservoir simulations.
- Simulation and UQ for rockslide-generated Tsunamis.
- Simulation and UQ for earthquake-generated Tsunamis.
Selected Publications
G. M. Coclite, S. Mishra, N. H. Risebro and F. R. Weber, Analysis and Numerical approximation of Brinkmann regularization of two phase flows in porous media, Comp. GeoSci., 18 (5), 2014, 637-659.
I C. Sanchez-Linares, M. de la asuncion, M. Castro, S. Mishra and J. Sukys, Multi-level Monte Carlo finite volume method for shallow water equations with uncertain parameters applied to landslides-generated tsunamis, Appl. Math. Modeling, 39 (23-24), 2015, 7211-7226.
I C. Sanchez-Linares, M. de la asuncion, M. Castro, J. M. Gonzalez-Vida, J. Macias and S. Mishra, Uncertainty quantification in tsunami modeling using Multi-level Monte Carlo finite volume method, Jl. Math. Ind., 6, 2016, Art 5, 26 pages.