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ConceptCourant-Friedrichs-Lewy条件

CFL Condition

A constraint on the relationship between the time step and the spatial grid size, imposed when numerically solving partial differential equations to ensure the stability of explicit time-marching schemes. The condition bounds the time step relative to the grid spacing so that the explicit scheme remains stable during computation.

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Oct 14

Traditional numerical weather prediction is based on physical equations and integrates step by step in a time-stepping manner; the time step is limited by the CFL condition, and at high resolution the step is smaller and the number of steps greater, so the cost grows superlinearly with resolution.

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