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David Lee
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Semtex: A spectral element–Fourier solver for the incompressible Navier–Stokes equations in cylindrical or Cartesian coordinates
HM Blackburn, D Lee, T Albrecht, J Singh
Computer Physics Communications 245, 106804, 2019
502019
Discrete conservation properties for shallow water flows using mixed mimetic spectral elements
D Lee, A Palha, M Gerritsma
Journal of Computational Physics 357, 282-304, 2018
232018
A Mixed Mimetic Spectral Element Model of the Rotating Shallow Water Equations on the Cubed Sphere
D Lee, A Palha
Journal of Computational Physics 375, 240-262, 2018
202018
A high order characteristic discontinuous Galerkin scheme for advection on unstructured meshes
MH D.Lee, R.Lowrie, M.Petersen, T.Ringler
Journal of Computational Physics 324, 289-302, 2016
152016
A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere
D Lee, A Palha
Journal of Computational Physics 401, 108993, 2020
92020
An energetically balanced, quasi-Newton integrator for non-hydrostatic vertical atmospheric dynamics
D Lee
Journal of Computational Physics 429, 109988, 2021
82021
A comparison of variational upwinding schemes for geophysical fluids, and their application to potential enstrophy conserving discretisations
D Lee, AF Martín, C Bladwell, S Badia
Computers & Mathematics with Applications 165, 150-162, 2024
72024
Exact spatial and temporal balance of energy exchanges within a horizontally explicit/vertically implicit non-hydrostatic atmosphere
D Lee, A Palha
Journal of Computational Physics 440, 110432, 2021
72021
Petrov–Galerkin flux upwinding for mixed mimetic spectral elements, and its application to geophysical flow problems
D Lee
Computers & Mathematics with Applications 89, 68-77, 2021
62021
Conservation and stability in a discontinuous Galerkin method for the vector invariant spherical shallow water equations
K Ricardo, D Lee, K Duru
Journal of Computational Physics, 112763, 2024
42024
Entropy and energy conservation for thermal atmospheric dynamics using mixed compatible finite elements
K Ricardo, D Lee, K Duru
Journal of Computational Physics 496, 112605, 2024
22024
An entropy stable discontinuous Galerkin method for the spherical thermal shallow water equations
K Ricardo, K Duru, D Lee
arXiv preprint arXiv:2310.16237, 2023
12023
Tracer Transport within an Unstructured Grid Ocean Model using Characteristic Discontinuous Galerkin Advection
D Lee, M Petersen, R Lowrie, T Ringler
Computers & Mathematics with Applications, 2018
12018
Helmholtz preconditioning for the compressible Euler equations using mixed finite elements with Lorenz staggering
D Lee, A Martin, K Ricardo
arXiv preprint arXiv:2403.04095, 2024
2024
A Comparison of Rosenbrock‐Wanner and Crank‐Nicolson Time Integrators for Atmospheric Modelling
D Lee
Quarterly Journal of the Royal Meteorological Society, 2024
2024
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Articles 1–15