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Evolving trees arise in many real-life scenarios from computer file systems and dynamic call graphs, to fake news propagation and disease spread. Most layout algorithms for static trees do not work well in an evolving setting (e.g., they…

Computational Geometry · Computer Science 2022-08-29 Kathryn Gray , Mingwei Li , Reyan Ahmed , Stephen Kobourov

We study the evolution of graphs densifying by adding edges: Two vertices are chosen randomly, and an edge is (i) established if each vertex belongs to a tree; (ii) established with probability $p$ if only one vertex belongs to a tree;…

Probability · Mathematics 2024-09-10 P. L. Krapivsky

We study the statistics of free-surface turbulence at large Reynolds numbers produced by direct numerical simulations in a fluid layer at different thickness with fixed characteristic forcing scale. We observe the production of a transient…

Fluid Dynamics · Physics 2022-12-12 G. Boffetta , A. Mazzino , S. Musacchio , M. E. Rosti

Numerical ice sheet models compute evolving ice geometry and velocity fields using various stress-balance approximations and boundary conditions. At high spatial resolution, with horizontal mesh/grid resolutions of a few kilometers or…

Computational Physics · Physics 2023-08-16 Ed Bueler

Videos can be created by first outlining a global view of the scene and then adding local details. Inspired by this idea we propose a cascaded model for video generation which follows a coarse to fine approach. First our model generates a…

Computer Vision and Pattern Recognition · Computer Science 2022-06-03 Lluis Castrejon , Nicolas Ballas , Aaron Courville

We perform first classical-statistical real time lattice simulations of topological transitions in the non-equilibrium Glasma of weakly coupled but highly occupied gauge fields created immediately after the collision of ultra-relativistic…

High Energy Physics - Phenomenology · Physics 2016-05-04 M. Mace , S. Schlichting , R. Venugopalan

Consider a fluid flowing through a junction between two pipes with different sections. Its evolution is described by the 2D or 3D Euler equations, whose analytical theory is far from complete and whose numerical treatment may be rather…

Analysis of PDEs · Mathematics 2009-03-05 Rinaldo M. Colombo , Mauro Garavello

We develop a probabilistic method for tracking glacier surface motion based on time-lapse imagery, which works by sequentially resampling a stochastic state-space model according to a likelihood determined through correlation between…

Computer Vision and Pattern Recognition · Computer Science 2017-11-16 Douglas Brinkerhoff , Shad O'Neel

We characterize the complete joint posterior distribution over spatially-varying basal traction and and ice softness parameters of an ice sheet model from observations of surface speed by using stochastic variational inference combined with…

Computational Physics · Physics 2022-04-13 Douglas J. Brinkerhoff

The coupled evolution of an eroding cylinder immersed in a fluid within the subcritical Reynolds range is explored with scale resolving simulations. Erosion of the cylinder is driven by fluid shear stress. K\'arm\'an vortex shedding…

Fluid Dynamics · Physics 2017-03-14 James N. Hewett , Mathieu Sellier

Projecting sea-level change in various climate-change scenarios typically involves running forward simulations of the Earth's gravitational, rotational and deformational (GRD) response to ice mass change, which requires high computational…

Atmospheric and Oceanic Physics · Physics 2025-11-18 Myungsoo Yoo , Giri Gopalan , Matthew J. Hoffman , Sophie Coulson , Holly Kyeore Han , Christopher K. Wikle , Trevor Hillebrand

We consider a model for the formation of a river network in which erosion process plays a role only at the initial stage. Once a global connectivity is achieved, no further evolution takes place. In spite of this, the network reproduces…

Condensed Matter · Physics 2009-10-28 S. S. Manna , B. Subramanian

Convective flows coupled with solidification or melting in water bodies play a major role in shaping geophysical landscapes. Particularly in relation to the global climate warming scenario, it is essential to be able to accurately quantify…

Fluid Dynamics · Physics 2021-03-11 Ziqi Wang , Enrico Calzavarini , Chao Sun , Federico Toschi

Procedural terrain generation is the process of generating a digital representation of terrain using a computer program or procedure, with little to no human guidance. This paper proposes a procedural terrain generation algorithm based on a…

Graphics · Computer Science 2022-10-27 Fong Yuan Lim , Yu Wei Tan , Anand Bhojan

The high dimensionality and complex dynamics of turbulent flows in urban street canyons present significant challenges for wind and environmental engineering, particularly in addressing air quality, pollutant dispersion, and extreme wind…

Fluid Dynamics · Physics 2025-01-24 Tomek Jaroslawski , Aakash Patil , Beverley McKeon

Near-wall turbulent velocities in turbulent channel flows are decomposed into small-scale and large-scale components at $y^+<100$ by improving the predictive inner-outer model of Baars et al. [Phys. Rev. Fluids 1, 054406 (2016)], where…

Fluid Dynamics · Physics 2021-04-16 Limin Wang , Ruifeng Hu , Xiaojing Zheng

We perform numerical simulations of a turbulent channel flow over an hyper-elastic wall. In the fluid region the flow is governed by the incompressible Navier-Stokes (NS) equations, while the solid is a neo-Hookean material satisfying the…

Fluid Dynamics · Physics 2017-11-22 Marco E. Rosti , Luca Brandt

We introduce a three-dimensional, computationally feasible, mesoscopic model for snow crystal growth, based on diffusion of vapor, anisotropic attachment, and a semi-liquid boundary layer. Several case studies are presented that faithfully…

Mathematical Physics · Physics 2007-11-27 Janko Gravner , David Griffeath

The marginal ice zone is a highly dynamical region where sea ice and ocean waves interact. Large-scale sea ice models only compute domain-averaged responses. As the majority of the marginal ice zone consists of mobile ice floes surrounded…

We perform point-particle direct numerical simulations (PP-DNS) of particle-laden flow through a linear compressor cascade subjected to synthetic freestream turbulence. Monodisperse particles are advanced in a one-way coupled…

Fluid Dynamics · Physics 2026-05-27 Taiyang Wang , Yaomin Zhao