Abstract
We develop a new second-order accurate operator splitting approach for the time discretization of coupled systems of partial and ordinary differential equations for fluid flows problems. The scheme is tested on a benchmark test case with an analytical solution; some of its main features, such as unconditional stability and second-order accuracy, are verified.
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This work has been published under the framework of the IdEx Unistra and partially benefited from a funding from the state managed by the French National Research Agency as part of the Investments for the future program.
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Carichino, L., Guidoboni, G., Szopos, M. (2021). Second-Order Time Accuracy for Coupled Lumped and Distributed Fluid Flow Problems via Operator Splitting: A Numerical Investigation. 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_95
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DOI: https://doi.org/10.1007/978-3-030-55874-1_95
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