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An ALE approach to reduce spurious numerical mixing through variational minimizers: Application to internal waves
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DOI：10.1016/j.ocemod.2026.102775.png)
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Abstract
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• Adaptive ALE mesh movement is formulated as a variational optimization problem. • Analysis of the weighting factors in the cost functional in order to balance them. • Adaptive optimization of vertical grid movement can reduce spurious mixing. • Evidence that Lagrangian bias can suppress fully resolved wave overturning. • Simulations of nonhydrostatic Internal Waves, including shoaling and breaking.
Keywords:
Arbitrary Lagrangian-Eulerian (ALE)
Spurious mixing
Adaptive mesh
Non-hydrostatic
Internal solitary waves
Ocean model
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