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Data · dataset · 2026

Modelling atmospheric flows with adaptive moving meshes

Listed in National Center for Atmospheric Research

An anelastic atmospheric flow solver has been developed that combines semi-implicit non-oscillatory forward-in-time numerics with a solution-adaptive mesh capability.

Description

A key feature of the solver is the unification of a mesh adaptation apparatus, based on moving mesh partial differential equations (PDEs), with the rigorous formulation of the governing anelastic PDEs in generalised time-dependent curvilinear coordinates.

The solver development includes an enhancement of the flux-form multidimensional positive definite advection transport algorithm (MPDATA) -- employed in the integration of the underlying anelastic PDEs -- that ensures full compatibility with mass continuity under moving meshes. In addition, to satisfy the geometric conservation law (GCL) tensor identity under general moving meshes, a diagnostic approach is proposed based on the treatment of the GCL as an elliptic problem.

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The benefits of the solution-adaptive moving mesh technique for the simulation of multiscale atmospheric flows are demonstrated. The developed solver is verified for two idealised flow problems with distinct levels of complexity: passive scalar advection in a prescribed deformational flow, and the life cycle of a large-scale atmospheric baroclinic wave instability showing fine-scale phenomena of fronts and internal gravity waves.

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National Center for Atmospheric Research7dbef10a-e1a7-4e60-bc34-4c15b72c454c13 d agoJSON v1
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