3 papers
cond-mat.soft2026
A deviatoric-stress closure for constitutive modeling of viscoelastic dynamics
Souta Miyamoto, Shotaro Moro, Takeshi Sato +4
Standard rheological measurements yield only selected stress components; thus, inferring tensorial constitutive equations from experimentally accessible observables is complicated.…
physics.flu-dyn2026
Development of Rheological Constitutive Modeling Method Using a Sparse Identification Algorithm: A Case Study for Extensional Flows
Takeshi Sato, Souta Miyamoto, Shota Kato
Deriving constitutive models (CMs) from numerical data has been an attractive approach as a systematic CM building method. One recent study is Rheo-SINDy, which extended the sparse…
cond-mat.soft2024
Rheo-SINDy: Finding a Constitutive Model from Rheological Data for Complex Fluids Using Sparse Identification for Nonlinear Dynamics
Takeshi Sato, Souta Miyamoto, Shota Kato
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. D…