Passive flow interactions lead to the spontaneous self-organization of groups of flapping swimmers into stable spatial formations that differentially distribute hydrodynamic benefits among the group members.
For any fluid whose equation of state is a scaled monomial, such as the ideal gas, a unique generalized potential-solution exists for the steady-state fluid flow equations in pipeline networks. For non-ideal gases following the CNGA equation of state, while the existence of a generalized pressure-solution remains open, an alternative system is constructed that always has a unique solution, and this solution is a good approximation of the true solution.
Applying electrical currents and magnetic fields can induce circulation and control the flow in Hele-Shaw cells, overcoming the inherent limitation of zero circulation in pressure-driven Hele-Shaw flows.
SineNet is a multi-stage neural network architecture that effectively models the temporal dynamics in time-dependent partial differential equations by reducing the misalignment in skip connections between the downsampling and upsampling paths.
Preconditioning with constant-density operators enhances convergence in variable-density incompressible flows.
Machine learning models accurately predict energy budgets in droplet dynamics using geometric data.
Nonlinear convection is key to achieving global stabilization in 2D channel flow control.
Nonlinear convection is key to achieving global stabilization of parabolic Poiseuille profiles in 2D channel flows.
Establishing functional integral representations for solutions of motion equations in wall-bounded viscous flows using perturbation techniques.
Developing a non-intrusive data-driven reduced order model using LSTM and POD techniques for CFD-DEM simulations.