Non-local discretization of the isoneutral diffusion operator in a terrain-following climate ocean model
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Dmitry V. Blagodatskikh
,
Nikolay G. Iakovlev
Abstract
The present paper considers numerical properties of two different approaches to discretization of the isoneutral diffusion. The necessity of an alternative treatment of the isoneutral diffusion in a terrain-following climate ocean model as opposed to the more convenient rotated tensor formalism is studied. A new method of the approximation of the isoneutral diffusion based on a non-local computational stencil is formulated. The validity of the non-local discretization of the isoneutral diffusion operator with regard to a terrain-following vertical coordinate in the INMCM ocean model is demonstrated.
Funding statement: The work was funded under the Russian Federation research and technical development program in ecological strategy and climate change through grant FFMG-2023-0001 ‘Development of an extended version of the Earth system INM RAS model within a new computational framework’.
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Articles in the same Issue
- Frontmatter
- Explaining breakthrough behaviour in shale rock: influence of capillary effects and geomechanics
- Non-local discretization of the isoneutral diffusion operator in a terrain-following climate ocean model
- Numerical model of Earth ionosphere F region based on three-dimensional transport and ambipolar diffusion equations
- Extracting connectivity paths in digital core images using solution of partial minimum eigenvalue problem
- The study of the local sensitivity of functionals of the optimal solution to observational data and the heat flux input data in a variational assimilation problem for the sea thermodynamics model
- Multiresolution approximation for shallow water equations using summation-by-parts finite differences
Articles in the same Issue
- Frontmatter
- Explaining breakthrough behaviour in shale rock: influence of capillary effects and geomechanics
- Non-local discretization of the isoneutral diffusion operator in a terrain-following climate ocean model
- Numerical model of Earth ionosphere F region based on three-dimensional transport and ambipolar diffusion equations
- Extracting connectivity paths in digital core images using solution of partial minimum eigenvalue problem
- The study of the local sensitivity of functionals of the optimal solution to observational data and the heat flux input data in a variational assimilation problem for the sea thermodynamics model
- Multiresolution approximation for shallow water equations using summation-by-parts finite differences
