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pro vyhledávání: '"Beth A. Wingate"'
Publikováno v:
Atmosphere, Vol 14, Iss 10, p 1523 (2023)
The atmosphere and ocean are described by highly oscillatory PDEs that challenge both our understanding of their dynamics and their numerical approximation. This paper presents a preliminary numerical study of one type of phase averaging applied to m
Externí odkaz:
https://doaj.org/article/5d3f8dcab85341179b0e0aea280dc5b6
Autor:
Beth A. Wingate
Publikováno v:
Wiley StatsRef: Statistics Reference Online. :1-4
Publikováno v:
SIAM Journal on Scientific Computing. 41:A3476-A3497
In [SIAM J. Sci. Comput., 36 (2014), pp. A693--A713] the authors present a new coarse propagator for the parareal method applied to oscillatory PDEs that exhibit time-scale separation and show, und...
Publikováno v:
Theoretical and Computational Fluid Dynamics. 32:713-732
Inspired by the use of fast singular limits in time-parallel numerical methods for a single fast frequency, we consider the limiting, nonlinear dynamics for a system of partial differential equations when two fast, distinct time scales are present. F
Publikováno v:
Theoretical and Computational Fluid Dynamics. 32:23-34
We report the results of a computational investigation of two blow-up criteria for the 3D incompressible Euler equations. One criterion was proven in a previous work, and a related criterion is proved here. These criteria are based on an inviscid reg
In this paper, we examine triad resonances in a rotating shallow water system when there are two free interfaces. This allows for an examination in a relatively simple model of the interplay between baroclinic and barotropic dynamics in a context whe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a6e0124bb194f364a80bd836c0f99ee8
Publikováno v:
IMA Journal of Numerical Analysis. 36:688-716
Our manuscript demonstrates a technique for efficiently solving the classical wave equation, the shallow water equations, and, more generally, equations of the form ∂u/∂t=Lu∂u/∂t=Lu, where LL is a skew-Hermitian differential operator. The ide
Autor:
Jared P. Whitehead, Beth A. Wingate
Publikováno v:
Journal of Fluid Mechanics. 757:155-178
The effect of non-slow (typically fast) components of a rotating stratified Boussinesq flow on the dynamics of the slow manifold is quantified using a decomposition that isolates the part of the flow living on the slow manifold. In this system, there
Autor:
Terry S. Haut, Beth A. Wingate
Publikováno v:
SIAM Journal on Scientific Computing. 36:A693-A713
We present a new time-stepping algorithm for nonlinear PDEs that exhibit scale separation in time of a highly oscillatory nature. The algorithm combines the parareal method---a parallel-in-time scheme introduced in [J.-L. Lions, Y. Maday, and G. Turi
Autor:
Beth A. Wingate, Nicole Jeffery
Publikováno v:
Journal of Physical Oceanography. 39:3147-3161
A linear stability analysis of the inviscid stratified Boussinesq equations is presented given a steady zonal flow with constant vertical shear in a tilted f plane. Full nonhydrostatic terms are included: 1) acceleration of vertical velocity and 2) C