Helton, J William Kelly, Frank P Williams, Ruth J Ziedins, Ilze

AbstractUnlimited access to a motorway network can, in overloaded conditions, cause a loss of throughput. Ramp metering, by controlling access to the motorway at onramps, can help avoid this loss of throughput. The queues that form at onramps are dependent on the metering rates chosen at the onramps, and these choices affect how the capacities of d...

Ladiges, DR Nonaka, A Klymko, K Moore, GC Bell, JB Carney, SP Garcia, AL Natesh, SR Donev, A

In this paper we develop a methodology for the mesoscale simulation of strong electrolytes. The methodology is an extension of the fluctuating immersed-boundary approach that treats a solute as discrete Lagrangian particles that interact with Eulerian hydrodynamic and electrostatic fields. In both algorithms the immersed-boundary method of Peskin i...

Phillips, TRF Heaney, CE Smith, PN Pain, CC

Using an autoencoder for dimensionality reduction, this article presents a novel projection‐based reduced‐order model for eigenvalue problems. Reduced‐order modeling relies on finding suitable basis functions which define a low‐dimensional space in which a high‐dimensional system is approximated. Proper orthogonal decomposition (POD) and singular v...

Hossain, MZ Cantwell, CD Sherwin, SJ

We report on a high‐fidelity, spectral/hp element algorithm developed for the direct numerical simulation of thermal convection problems. We consider the incompressible Navier–Stokes (NS) and advection–diffusion equations coupled through a thermal body‐forcing term. The flow is driven by a prescribed flowrate forcing with explicit treatment of the ...

Chadha, Mayank Todd, Michael D

Choi, GPT Rycroft, CH

The density-equalizing map, a technique developed for cartogram creation, has been widely applied to data visualization but only for 2D applications. In this work, we propose a novel method called the volumetric density-equalizing reference map for computing density-equalizing map for volumetric domains. Given a prescribed density distribution in a...

Özgen-Xian, I Xia, X Liang, Q Hinkelmann, R Liang, D Hou, J

Hernandez, Taylor M Van Beeumen, Roel Caprio, Mark A Yang, Chao

We present a greedy algorithm for computing selected eigenpairs of a large sparse matrix $H$ that can exploit localization features of the eigenvector. When the eigenvector to be computed is localized, meaning only a small number of its components have large magnitudes, the proposed algorithm identifies the location of these components in a greedy ...

Roubicek, Tomas Tsogka, Chrysoula

An extension of the two-step staggered time discretization of linear elastodynamics in stress-velocity form to systems involving internal variables subjected to a possibly non-linear dissipative evolution is proposed. The original scheme is thus enhanced by another step for the internal variables which, in general, is implicit, although even this s...

Sánchez, Duván Cardona Esquivel, Liliana
Published in
Journal of Pseudo-Differential Operators and Applications

In this contribution we investigate the Schrördinger equation associated to the Laplacian on the sphere in the form of sharp Strichartz estimates. We will provided simple proofs for our main theorems using purely the L2→Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{a...