Stabilization of High-Order Methods for Unstructured Grids with Local Fourier Spectral Filtering: high-Re Simulations in Coarse Meshes

2015 ◽  
Author(s):  
Manuel R. López-Morales ◽  
Antony Jameson
Keyword(s):  
Unstructured Grids ◽  
High Order ◽  
Spectral Filtering ◽  
High Order Methods ◽  
Coarse Meshes

scholarly journals Hovering rotor solutions by high-order methods on unstructured grids

2020 ◽  
Vol 97 ◽  
pp. 105648 ◽  
Author(s):  
Francesco Ricci ◽  
Paulo A.S.F. Silva ◽  
Panagiotis Tsoutsanis ◽  
Antonis F. Antoniadis
Keyword(s):  
Unstructured Grids ◽  
High Order ◽  
High Order Methods

scholarly journals Bridging the Multiscale Hybrid-Mixed and Multiscale Hybrid High-Order methods

2021 ◽  
Author(s):  
Théophile Chaumont-Frelet ◽  
Alexandre Ern ◽  
Simon Lemaire ◽  
Frédéric Valentin
Keyword(s):  
Convergence Analysis ◽  
Source Term ◽  
Diffusion Problem ◽  
High Order ◽  
Basis Functions ◽  
Piecewise Polynomial ◽  
High Order Methods ◽  
Local Problems ◽  
Variable Diffusion ◽  
Coarse Meshes

We establish the equivalence between the Multiscale Hybrid-Mixed (MHM) and the Multiscale Hybrid High-Order (MsHHO) methods for a variable diffusion problem with piecewise polynomial source term. Under the idealized assumption that the local problems defining the multiscale basis functions are exactly solved, we prove that the equivalence holds for general polytopal (coarse) meshes and arbitrary approximation orders. We also leverage the interchange of properties to perform a unified convergence analysis, as well as to improve on both methods.

Nodal High-Order Methods on Unstructured Grids

2002 ◽  
Vol 181 (1) ◽  
pp. 186-221 ◽  
Author(s):  
J.S Hesthaven ◽  
T Warburton
Keyword(s):  
Unstructured Grids ◽  
High Order ◽  
High Order Methods

Some recent progress of high-order methods on structured and unstructured grids in CARDC

2017 ◽  
Vol 154 ◽  
pp. 371-389
Author(s):  
H.X. Zhang ◽  
L.P. Zhang ◽  
S.H. Zhang ◽  
Q. Li
Keyword(s):  
Recent Progress ◽  
Unstructured Grids ◽  
High Order ◽  
High Order Methods
Sign in / Sign up

Export Citation Format

Share Document