https://www.shreyasmandre.com/tags/instability/ Recent content in Instability on Shreyas Mandre Hugo -- gohugo.io en-us Fri, 10 Sep 2004 00:00:00 +0000 https://www.shreyasmandre.com/publications/balmforth2004/ Fri, 10 Sep 2004 00:00:00 +0000 https://www.shreyasmandre.com/publications/balmforth2004/ Shallow-water equations with bottom drag and viscosity are used to study the dynamics of roll waves. First, we explore the effect of bottom topography on linear stability of turbulent flow over uneven surfaces. Low-amplitude topography is found to destabilize turbulent roll waves and lower the critical Froude number required for instability. At higher amplitude, the trend reverses and topography stabilizes roll waves. At intermediate topographic amplitude, instability can be created at much lower Froude numbers due to the development of hydraulic jumps in the equilibrium flow.