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October 2, 2025Open Access

A High-Order Compact Hermite Difference Method for Double-Diffusive Convection

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A novel Hermite difference method achieves linear stability in double-diffusive convection simulations, improving accuracy and efficiency.

The proposed method maintains linear stability by splitting convective fluxes into positive and negative parts.
The compact Hermite difference methods discretize the fluxes, enhancing the numerical accuracy of simulations.
Application of the algorithm shows good agreement with benchmark solutions across various test conditions.
The method enables solving both steady and unsteady problems of double-diffusive convection effectively.

Yang et al. (2025) studied this question.

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A novel Hermite difference method achieves linear stability in double-diffusive convection simulations, improving accuracy and efficiency.