With the rapid development and adoption of different data-driven techniques in rheology,
this review aims to reflect on the advent and growth of these frameworks, survey the state-of …

While many phenomena in physics and engineering are formally high-dimensional, their
long-time dynamics often live on a lower-dimensional manifold. The present work introduces …

The Koopman operator enables the analysis of nonlinear dynamical systems through a
linear perspective by describing time evolution in the infinite-dimensional space of …

Rheology plays a pivotal role in understanding the flow behavior of fluids by discovering
governing equations that relate deformation and stress, known as constitutive equations …

Predicting physical properties of complex multi-scale systems is a common challenge and
demands analysis of various temporal and spatial scales. However, physics alone is often …

With a consistent growth in computational power, even today's personal computers enable
storage and process of large amounts of data far beyond what was possible a decade ago …

Predicting the response of complex fluids to different flow conditions has been the focal point
of rheology and is generally done via constitutive relations. There are, nonetheless …

This review summarized the multiscale simulation (MSS) methods for polymeric liquids.
Since polymeric liquids have multiscale characteristics of monomeric, mesoscopic, and …

The simulation of turbulent flow requires many degrees of freedom to resolve all the relevant
times and length scales. However, due to the dissipative nature of the Navier-Stokes …

Climate change will jeopardize food security. Food security involves the robustness of the
global agri-food system. This agri-food system is intricately connected to systems centering …