[HTML][HTML] EPIC: the elliptical parcel-in-cell method

M Frey, D Dritschel, S Böing - Journal of Computational Physics: X, 2022 - Elsevier
We present a novel approach to simulating general two-dimensional flows, which could also
be applied to other areas of continuum mechanics. The approach generalises the Particle-In …

[HTML][HTML] Assessing the numerical accuracy of complex spherical shallow-water flows

AR Mohebalhojeh, DG Dritschel - Monthly Weather Review, 2007 - journals.ametsoc.org
Assessing the Numerical Accuracy of Complex Spherical Shallow-Water Flows in: Monthly
Weather Review Volume 135 Issue 11 (2007) Jump to Content Jump to Main Navigation …

High‐order compact finite difference schemes for the vorticity–divergence representation of the spherical shallow water equations

S Ghader, J Nordström - International Journal for Numerical …, 2015 - Wiley Online Library
This work is devoted to the application of the super compact finite difference method
(SCFDM) and the combined compact finite difference method (CCFDM) for spatial …

[HTML][HTML] On the spectral convergence of the supercompact finite-difference schemes for the f-plane shallow-water equations

S Ghader, AR Mohebalhojeh… - Monthly weather …, 2009 - journals.ametsoc.org
On the Spectral Convergence of the Supercompact Finite-Difference Schemes for the f-Plane
Shallow-Water Equations in: Monthly Weather Review Volume 137 Issue 7 (2009) Jump to …

High‐order compact scheme for Boussinesq equations: implementation and numerical boundary condition issue

S Ghader, A Ghasemi, MR Banazadeh… - … journal for numerical …, 2012 - Wiley Online Library
Application of the three‐point fourth‐order compact scheme to spatial differencing of the
vorticity‐stream function‐density formulation of the two‐dimensional incompressible …

Homostrophic vortex interaction under external strain, in a coupled QG-SQG model

X Perrot, JN Reinaud, X Carton… - Regular and Chaotic …, 2010 - Springer
The interaction between two co-rotating vortices, embedded in a steady external strain field,
is studied in a coupled Quasi-Geostrophic—Surface Quasi-Geostrophic (hereafter referred …

Toward a PV-based algorithm for the dynamical core of hydrostatic global models

AR Mohebalhojeh, M Joghataei… - Monthly Weather …, 2016 - journals.ametsoc.org
The diabatic contour-advective semi-Lagrangian (DCASL) algorithms previously constructed
for the shallow-water and multilayer Boussinesq primitive equations are extended to …

Mathematical models of atmospheric convection: a Lagrangian perspective

SJ Wallace - 2023 - research-repository.st-andrews.ac …
This thesis presents extensions and enhancements to an existing Lagrangian model for
atmospheric convection. The Moist Parcel-In-Cell (MPIC) method, developed by Dritschel et …

Accuracy assessment of the super compact and combined compact schemes for spatial differencing of a two-layer oceanic model: Presentation of linear inertia-gravity …

H Golshahy, S Ghader, F Ahmadi-Givi - Ocean Modelling, 2011 - Elsevier
This paper is devoted to accuracy assessment of the sixth-order super compact finite
difference method (SCFDM) and the sixth-order combined compact finite difference method …

[图书][B] High-order compact finite difference schemes for the spherical shallow water equations

S Ghader, J Nordström - 2013 - diva-portal.org
This work is devoted to the application of the super compact finite difference (SCFDM) and
the combined compact finite difference (CCFDM) methods for spatial differencing of the …