NOUVEAU, L.; BEAUGENDRE, Heloise; DOBRZYNSKI, C.; ABGRALL, R.; RICCHIUTO, Mario

doi:10.1016/j.cma.2016.01.009

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Licence d’utilisation du document

NOUVEAU, L.
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

BEAUGENDRE, Heloise
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut Polytechnique de Bordeaux [Bordeaux INP]
Institut de Mathématiques de Bordeaux [IMB]

DOBRZYNSKI, C.
Institut Polytechnique de Bordeaux [Bordeaux INP]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

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Article de revue

Ce document a été publié dans

Computer Methods in Applied Mechanics and Engineering. 2016-02, vol. 303, p. 208-230

Elsevier

Résumé en anglais

The interest on Immersed Boundary Methods (IBM) is increasing in Computational Fluid Dynamics as they simplify the mesh generation problem. In this work, we consider an approach based on the addition of a penalty term to the Navier–Stokes equations to account for the wall boundary conditions. To discretize the resulting equations we use a residual distribution approach previously developed by some of the authors. To adapt the method to the IBM considered, we developed a new formulation of residual distribution based on a Strang splitting method in time, coupling an implicit asymptotic integration procedure of the penalization ODE with a simplified explicit residual distribution for the Navier–Stokes equations. The first method, provides an operator which is exact up to orders η2, with η the penalty parameter assuming values of the order of 10−10. A modification of the solution gradient reconstruction necessary for the evaluation of the viscous fluxes, is also introduced in the paper. This guarantees that correct physical values of the viscous stresses are recovered in vicinity of the solid. We show formally and numerically that the approach proposed is second order accurate for smooth solutions. We evaluate its potential for IBM by coupling the resulting method with unstructured mesh adaptation on wall boundaries. Several steady and time dependent tests are used to show the promising features of the method proposed.< Réduire

Mots clés en anglais

Unstructured grids

Penalization

Splitting

Immersed boundary method

Unsteady residual schemes

URI

https://oskar-bordeaux.fr/handle/20.500.12278/194141

DOI

http://dx.doi.org/10.1016/j.cma.2016.01.009

Projet Européen

Efficient ice protection Systems and simulation Techniques Of ice Release on propulsive systeMs

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251