83 citations · 286 across the 8 of their papers we have counts for
8 papers
One-dimensional modeling of blood flow: A comprehensive yet concise review
Daehyun Kim, Jeffrey Tithof
One-dimensional (1D) blood flow simulations are extensively used in cardiovascular research due to their computational efficiency and effectiveness in analyzing pulse wave dynamics…
Unstable Equilibria and Invariant Manifolds in Quasi-Two-Dimensional Kolmogorov-like Flow
Balachandra Suri, Jeffrey Tithof, Roman O. Grigoriev +1
Recent studies suggest that unstable, non-chaotic solutions of the Navier-Stokes equation may provide deep insights into fluid turbulence. In this article, we present a combined ex…
Forecasting Fluid Flows Using the Geometry of Turbulence
Balachandra Suri, Jeffrey Tithof, Roman O. Grigoriev +1
The existence and dynamical role of particular unstable Navier-Stokes solutions (exact coherent structures) is revealed in laboratory studies of weak turbulence in a thin, electrom…
Bifurcations in a Quasi-Two-Dimensional Kolmogorov-Like Flow
Jeffrey Tithof, Balachandra Suri, Ravi Kumar Pallantla +2
We present a combined experimental and theoretical study of the primary and secondary instabilities in a Kolmogorov-like flow. The experiment uses electromagnetic forcing with an a…
Analysis of Kolmogorov Flow and Rayleigh-Bénard Convection using Persistent Homology
Miroslav Kramar, Rachel Levanger, Jeffrey Tithof +5
We use persistent homology to build a quantitative understanding of large complex systems that are driven far-from-equilibrium; in particular, we analyze image time series of flow…
Velocity Profile in a Two-Layer Kolmogorov-Like Flow
Balachandra Suri, Jeffrey Tithof, Radford Mitchell +2
In this article we discuss flows in shallow, stratified horizontal layers of two immiscible fluids. The top layer is an electrolyte which is electromagnetically driven and the bott…