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A high-order compact Hermite difference method for two-dimensional double-diffusive convection
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DOI：10.1016/j.amc.2026.130136.png)
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Abstract
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Research Highlights of This Paper • A class of high-order compact Hermite scheme is presented for the simulation of doublediffusive convection. • The diffusion fluxes of the governing equations are directly approximated by a highorder finite difference scheme based on the Hermite interpolation. • A key advantage of the proposed schemes is that the solution derivatives are directly obtained from the compact central difference scheme, eliminating the need for auxiliary derivative equation. • Numerical results show the accuracy, efficiency, resolution, robustness of the schemes.
Keywords:
high-order compact Hermite scheme
double-diffusive convection
finite difference method
Hermite interpolation
numerical simulation
Journal
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3.4
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2.3W
Citations:
3.3W