activity
20152025
most citedVertical slice modelling of nonlinear Eady waves using a compatible finite element method

14 citations · 30 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2025

A vertical slice frontogenesis test case for compressible nonhydrostatic dynamical cores of atmospheric models

Hiroe Yamazaki, Colin Cotter

A new test case is presented for evaluating the compressible dynamical cores of the atmospheric models. The test case is based on a compressible vertical slice model that can be ob…

math.NA2021★ 7 cited

Conservation with moving meshes over orography

Hiroe Yamazaki, Hilary Weller, Colin J. Cotter +1

Adaptive meshes have the potential to improve the accuracy and efficiency of atmospheric modelling by increasing resolution where it is most needed. Mesh re-distribution, or r-adap…

math.NA2021

Time parallel integration and phase averaging for the nonlinear shallow water equations on the sphere

Hiroe Yamazaki, Colin J Cotter, Beth Wingate

We describe a proof-of-concept development and application of a phase averaging technique to the nonlinear rotating shallow water equations on the sphere, discretised using compati…

math.NA2016★ 14 cited

Vertical slice modelling of nonlinear Eady waves using a compatible finite element method

Hiroe Yamazaki, Jemma Shipton, Michael J. P. Cullen +2

A vertical slice model is developed for the Euler-Boussinesq equations with a constant temperature gradient in the direction normal to the slice (the Eady-Boussinesq model). The mo…

math.NA2015★ 9 cited

3D cut-cell modelling for high-resolution atmospheric simulations

H. Yamazaki, T. Satomura, N. Nikiforakis

Owing to the recent, rapid development of computer technology, the resolution of atmospheric numerical models has increased substantially. With the use of next-generation supercomp…