Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes
CIALLELLA, Mirco
École Nationale Supérieure d'Arts et Métiers [Bordeaux-Talence] [ENSAM | Bordeaux-Talence]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
École Nationale Supérieure d'Arts et Métiers [Bordeaux-Talence] [ENSAM | Bordeaux-Talence]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
GABURRO, Elena
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
LORINI, Marco
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
See more >
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
CIALLELLA, Mirco
École Nationale Supérieure d'Arts et Métiers [Bordeaux-Talence] [ENSAM | Bordeaux-Talence]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
École Nationale Supérieure d'Arts et Métiers [Bordeaux-Talence] [ENSAM | Bordeaux-Talence]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
GABURRO, Elena
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
LORINI, Marco
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
RICCHIUTO, Mario
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
< Reduce
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Language
en
Article de revue
This item was published in
Applied Mathematics and Computation. 2023-03, vol. 441, n° 15, p. 127698
Elsevier
English Abstract
In this work we propose a simple but effective high order polynomial correction allowing to enhance the consistency of all kind of boundary conditions for the Euler equations (Dirichlet, characteristic far-field and ...Read more >
In this work we propose a simple but effective high order polynomial correction allowing to enhance the consistency of all kind of boundary conditions for the Euler equations (Dirichlet, characteristic far-field and slip-wall), both in 2D and 3D, preserving a high order of accuracy without the need of curved meshes. The method proposed is a simplified reformulation of the Shifted Boundary Method (SBM) and relies on a correction based on the extrapolated value of the in cell polynomial to the true geometry, thus not requiring the explicit evaluation of high order Taylor series. Moreover, this strategy could be easily implemented into any already existing finite element and finite volume code. Several validation tests are presented to prove the convergence properties up to order four for 2D and 3D simulations with curved boundaries, as well as an effective extension to flows with shocks.Read less <
Keywords
Applied Mathematics
Computational Mathematics
Compressible flows
Curved boundaries
Unstructured linear meshes
Shifted Boundary Method
Discontinuous Galerkin
European Project
Structure Preserving schemes for Conservation Laws on Space Time Manifolds
Origin
Hal imported