A fully semi-Lagrangian discretization for the 2D incompressible Navier–Stokes equations in the vorticity-streamfunction formulation

Luca Bonaventura, Roberto Ferretti and Lorenzo Rocchi

Applied Mathematics and Computation, 2018, vol. 323, issue C, 132-144

Abstract: A numerical method for the two-dimensional, incompressible Navier–Stokes equations in vorticity-streamfunction form is proposed, which employs semi-Lagrangian discretizations for both the advection and diffusion terms, thus achieving unconditional stability without the need to solve linear systems beyond that required by the Poisson solver for the reconstruction of the streamfunction. A description of the discretization of Dirichlet boundary conditions for the semi-Lagrangian approach to diffusion terms is also presented. Numerical experiments on classical benchmarks for incompressible flow in simple geometries validate the proposed method.

Keywords: Semi-Lagrangian methods; Advection–diffusion equations; Navier–Stokes equations; Vorticity-streamfunction formulation (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:323:y:2018:i:c:p:132-144

DOI: 10.1016/j.amc.2017.11.030

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