7 papers
Reduced wave number dynamics in the real and complex Ginzburg-Landau equations
Yijun Lin, Adrian van Kan, Edgar Knobloch
We study large-scale dynamics in the Ginzburg-Landau equation (GLE) using a reduced description derived from a WKB expansion. Rigorous mathematical results establishing that this r…
Accurate simulation of pulled and pushed fronts in the nonautonomous Fisher-KPP equation
Troy Tsubota, Smridhi Mahajan, Adrian van Kan +1
We introduce a novel numerical method for direct simulation of front propagation in the Fisher-KPP equation with a time-dependent parameter on an infinite domain. The method comput…
Bridging the Rossby number gap in rapidly rotating thermal convection
Adrian van Kan, Keith Julien, Benjamin Miquel +1
Geophysical and astrophysical fluid flows are typically driven by buoyancy and strongly constrained at large scales by planetary rotation. Rapidly rotating Rayleigh-Bénard convect…
Spontaneous generation of helical flows by salt fingers
Adrian E. Fraser, Adrian van Kan, Edgar Knobloch +2
We study the dynamics of salt fingers in the regime of slow salinity diffusion (small inverse Lewis number) and strong stratification (large density ratio), focusing on regimes rel…
Rescaled Equations for Well-Conditioned Direct Numerical Simulations of Rapidly Rotating Convection
Keith Julien, Adrian van Kan, Benjamin Miquel +2
Convection is a ubiquitous process driving geophysical/astrophysical fluid flows, which are typically strongly constrained by planetary rotation on large scales. A celebrated model…
Two-dimensional turbulent condensates without bottom drag
Adrian van Kan, Alexandros Alexakis, Edgar Knobloch
The extent to which statistical equilibrium theory is applicable to driven dissipative dynamics remains an important open question in many systems. We use extensive direct numerica…