We present in this paper a numerical scheme for incompressible Navier-Stokes equations with open boundary conditions, in the framework of the pressure and velocity correction schemes. In Poux et al. (J Comput Phys 230:4011– 4027, 2011), the authors presented an almost second-order accurate version of the open boundary condition with a pressure-correction scheme in finite volume framework. This paper proposes an extension of this method in spectral element method framework for both pressure- and velocity-correction schemes. A new way to enforce this type of boundary condition is proposed and provides a pressure and velocity convergence rate in space and time higher than with the present state of the art. We illustrate this result by computing some numerical tests.
CITATION STYLE
Ahusborde, E., Azaïez, M., Glockner, S., & Poux, A. (2014). A contribution to the outflow boundary conditions for Navier-stokes time-splitting methods. In Lecture Notes in Computational Science and Engineering (Vol. 95, pp. 75–86). Springer Verlag. https://doi.org/10.1007/978-3-319-01601-6_5
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