Comparative analysis of obstacle approximation strategies for the steady incompressible Navier-Stokes equations. (English) Zbl 1532.35347
Summary: This paper aims to compare and evaluate various obstacle approximation techniques employed in the context of the steady incompressible Navier-Stokes equations. Specifically, we investigate the effectiveness of a standard volume penalization approximation and an approximation method utilizing high viscosity inside the obstacle region, as well as their composition. Analytical results concerning the convergence rate of these approaches are provided, and extensive numerical experiments are conducted to validate their performance.
MSC:
| 35Q30 | Navier-Stokes equations |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 76S05 | Flows in porous media; filtration; seepage |
| 70E99 | Dynamics of a rigid body and of multibody systems |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 65H10 | Numerical computation of solutions to systems of equations |
Keywords:
Navier-Stokes equations; obstacle; volume penalization; viscosity penalization; simulationsReferences:
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