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Which behavior emerges when computational fluid dynamics violates Courant-Friedrichs-Lewy condition?

A)Numerical instability and diverging solutions
B)Accurate representation of fluid turbulence
C)Improved computational efficiency calculation
D)Stable and convergent numerical solutions

💡 Explanation

Numerical instability results because a fluid element's calculated displacement exceeds the physical cell size during a time step, causing calculated values to oscillate non-physically within the Euler equation. Therefore, simulations fail, rather than succeed, like accurate simulations that respect boundary conditions.

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