Abstract
This study presents a subgrid artificial viscosity method for approximating solutions to the Boussinesq equations. The stability is obtained by adding a term via an artificial viscosity and then removing it only on the coarse mesh scale. The method includes both vorticity in the viscous term and a grad-div stabilization. We analyze the method from both analytical and computational point of view and show that it is unconditionally stable and optimally convergent. Several numerical experiments are provided that support the derived theoretical results and demonstrate the efficiency and accuracy of the method.
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Demir, M., Kaya, S. (2021). Numerical Investigation of the Boussinesq Equations Through a Subgrid Artificial Viscosity Method. In: Vermolen, F.J., Vuik, C. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2019. Lecture Notes in Computational Science and Engineering, vol 139. Springer, Cham. https://doi.org/10.1007/978-3-030-55874-1_28
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DOI: https://doi.org/10.1007/978-3-030-55874-1_28
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