Comparison of Coupled and Decoupled Solvers for Incompressible Navier–Stokes Equations Solved by Isogeometric Analysis

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Numerical Methods for Flows

Abstract

This paper is devoted to the problem of solving the steady incompressible Navier–Stokes equations discretized by the Galerkin method on the spaces generated by the B-spline/NURBS basis functions, which is called isogeometric analysis. Two pressure-correction methods are presented for the solution of the incompressible flow in the benchmark backward facing step and also in Kaplan water turbine as conforming multipatch domains. The velocity and pressure under-relaxation is considered and the computational examples are compared with the coupled approach.

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Acknowledgement

This work has been supported by the European Union’s Horizon 2020 research and innovation programme under grant agreement No. 678727.

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Correspondence to Bohumír Bastl .

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Bastl, B. et al. (2020). Comparison of Coupled and Decoupled Solvers for Incompressible Navier–Stokes Equations Solved by Isogeometric Analysis. In: van Brummelen, H., Corsini, A., Perotto, S., Rozza, G. (eds) Numerical Methods for Flows. Lecture Notes in Computational Science and Engineering, vol 132. Springer, Cham. https://doi.org/10.1007/978-3-030-30705-9_2

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