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physics.flu-dyn2021
Statistical Learning for Fluid Flows: Sparse Fourier divergence-free approximations
Luis Espath, Dmitry Kabanov, Jonas Kiessling +1
We reconstruct the velocity field of incompressible flows given a finite set of measurements. For the spatial approximation, we introduce the Sparse Fourier divergence-free (SFdf)…
physics.flu-dyn2018★ 8 cited
A minimal hyperbolic system for unstable shock waves
Dmitry I. Kabanov, Aslan R. Kasimov
We present a computational analysis of a 22 hyperbolic system of balance laws whose solutions exhibit complex nonlinear behavior. Traveling-wave solutions of the system are…
physics.flu-dyn2017★ 21 cited
Linear stability analysis of detonations via numerical computation and dynamic mode decomposition
Dmitry I. Kabanov, Aslan R. Kasimov
We introduce a new method to investigate linear stability of gaseous detonations that is based on an accurate shock-fitting numerical integration of the linearized reactive Euler e…