Results 11 to 20 of about 437,461 (138)
Incompressible fluid problems on embedded surfaces: Modeling and variational formulations [PDF]
Interfaces and Free Boundaries 20 (2018), 353-378, 2017 Governing equations of motion for a viscous incompressible material surface are derived from the balance laws of continuum mechanics. The surface is treated as a time-dependent smooth orientable manifold of codimension one in an ambient Euclidian space.
Thomas Jankuhn +2 more
arxiv +3 more sources
Linear and nonlinear dimensionality reduction from fluid mechanics to machine learning [PDF]
Measurement science and technology, 2022 Dimensionality reduction is the essence of many data processing problems, including filtering, data compression, reduced-order modeling and pattern analysis.
M. A. Mendez
semanticscholar +1 more source
NOMAD: Nonlinear Manifold Decoders for Operator Learning [PDF]
Neural Information Processing Systems, 2022 Supervised learning in function spaces is an emerging area of machine learning research with applications to the prediction of complex physical systems such as fluid flows, solid mechanics, and climate modeling.
Jacob H. Seidman +3 more
semanticscholar +1 more source
Diffusion-driven flows in a nonlinear stratified fluid layer [PDF]
Journal of Fluid Mechanics, 2023 Diffusion-driven flow is a boundary layer flow arising from the interplay of gravity and diffusion in density-stratified fluids when a gravitational field is non-parallel to an impermeable solid boundary.
Lingyun Ding
semanticscholar +1 more source
Free Boundary Problem for a Gas Bubble in a Liquid, and Exponential Stability of the Manifold of Spherically Symmetric Equilibria [PDF]
Archive for Rational Mechanics and Analysis, 2022 We consider the dynamics of a gas bubble immersed in an incompressible fluid of fixed temperature, and focus on the relaxation of an expanding and contracting spherically symmetric bubble due to thermal effects.
Chen-Chih Lai, M. Weinstein
semanticscholar +1 more source
Journal of Applied Fluid Mechanics, 2023 Non-Newtonian fluid flow in pipe bends is inevitable in industrial applications. Previous researchers have extensively explored Newtonian flow through curved ducts. However, the non-Newtonian counterpart gets little attention. We study the turbulent flow
A. Banerjee, S. Sengupta, S. Pramanik
semanticscholar +1 more source
Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 2022 The intake manifold is one of the most important components of an internal combustion engine as it distributes air to each combustion chamber. In certain situations, a restrictor is added at the inlet of the intake manifold.
Setyo Pranoto +4 more
semanticscholar +1 more source
INVARIANT SPACES OF OSKOLKOV STOCHASTIC LINEAR EQUATIONS ON THE MANIFOLD
Bulletin of the South Ural State University series Mathematics Mechanics Physics, 2021 The Oskolkov equation is obtained from the Oskolkov system of equations describing the dynamics of a viscoelastic fluid, after stopping one of the spatial variables and introducing a stream function.
O. G. Kitaeva
semanticscholar +1 more source
Actuation manifold from snapshot data [PDF]
Journal of Fluid MechanicsWe propose a data-driven methodology to learn a low-dimensional manifold of controlled flows. The starting point is resolving snapshot flow data for a representative ensemble of actuations. Key enablers for the actuation manifold are isometric mapping as
Luigi Marra +7 more
semanticscholar +1 more source
Dynamics of a data-driven low-dimensional model of turbulent minimal Couette flow [PDF]
Journal of Fluid Mechanics, 2023 Because the Navier–Stokes equations are dissipative, the long-time dynamics of a flow in state space are expected to collapse onto a manifold whose dimension may be much lower than the dimension required for a resolved simulation.
Alec J. Linot, M. Graham
semanticscholar +1 more source