139 citations · 275 across the 13 of their papers we have counts for
7 papers · 1 filter
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…
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…
On a stabilization mechanism for low velocity detonations
Aliou Sow, Roman E. Semenko, Aslan R. Kasimov
We use numerical simulations of the reactive Euler equations to analyze the nonlinear stability of steady-state one-dimensional solutions for gaseous detonations in the presence of…
Qualitative modeling of the dynamics of detonations with losses
Luiz M. Faria, Aslan R. Kasimov
We consider a simplified model for the dynamics of one-dimensional detonations with generic losses. It consists of a single partial differential equation that reproduces, at a qual…
Theory of weakly nonlinear self sustained detonations
Luiz M. Faria, Aslan R. Kasimov, Rodolfo R. Rosales
We propose a theory of weakly nonlinear multi-dimensional self sustained detonations based on asymptotic analysis of the reactive compressible Navier-Stokes equations. We show that…
Set-valued solutions for non-ideal detonation
Roman Semenko, Luiz Faria, Aslan Kasimov +1
The existence and structure of steady gaseous detonation propagating in a packed bed of solid inert particles are analyzed in the one-dimensional approximation by taking into consi…
Sunflower detonation
A. Kasimov, S. Korneev
In this fluid dynamic video we present simulations of converging two-dimensional detonation in a radially expanding supersonic flow of ideal reactive gas. The detonation is found t…