High-Order Flux Reconstruction Schemes for LES on Tetrahedral Meshes

2015 ◽  
pp. 69-79 ◽  
Author(s):  
Jonathan R. Bull ◽  
Antony Jameson
Keyword(s):  
High Order ◽  
Flux Reconstruction ◽  
Tetrahedral Meshes

A High-Order Flux Reconstruction Method for 2-D Vorticity Transport

2021 ◽  
Author(s):  
Adrin Gharakhani
Keyword(s):  
Finite Difference ◽  
Poisson Equation ◽  
Finite Difference Methods ◽  
Neumann Boundary ◽  
Normal Derivative ◽  
High Order ◽  
Benchmark Problems ◽  
Flux Reconstruction ◽  
Reconstruction Method ◽  
Vorticity Transport

Abstract A compact high-order finite difference method on unstructured meshes is developed for discretization of the unsteady vorticity transport equations (VTE) for 2-D incompressible flow. The algorithm is based on the Flux Reconstruction Method of Huynh [1, 2], extended to evaluate a Poisson equation for the streamfunction to enforce the kinematic relationship between the velocity and vorticity fields while satisfying the continuity equation. Unlike other finite difference methods for the VTE, where the wall vorticity is approximated by finite differencing the second wall-normal derivative of the streamfunction, the new method applies a Neumann boundary condition for the diffusion of vorticity such that it cancels the slip velocity resulting from the solution of the Poisson equation for the streamfunction. This yields a wall vorticity with order of accuracy consistent with that of the overall solution. In this paper, the high-order VTE solver is formulated and results presented to demonstrate the accuracy and convergence rate of the Poisson solution, as well as the VTE solver using benchmark problems of 2-D flow in lid-driven cavity and backward facing step channel at various Reynolds numbers.

scholarly journals High-Order Flux Reconstruction on Stretched and Warped Meshes

AIAA Journal ◽  
2019 ◽  
Vol 57 (1) ◽  
pp. 341-351 ◽  
Author(s):  
Will Trojak ◽  
Rob Watson ◽  
Paul G. Tucker
Keyword(s):  
High Order ◽  
Flux Reconstruction

Defining Quality Measures for Validation and Generation of High-Order Tetrahedral Meshes

2014 ◽  
pp. 109-126 ◽  
Author(s):  
Abel Gargallo-Peiró ◽  
Xevi Roca ◽  
Jaime Peraire ◽  
Josep Sarrate
Keyword(s):  
Quality Measures ◽  
High Order ◽  
Tetrahedral Meshes

Connections between the discontinuous Galerkin method and high-order flux reconstruction schemes

2014 ◽  
Vol 75 (12) ◽  
pp. 860-877 ◽  
Author(s):  
D. De Grazia ◽  
G. Mengaldo ◽  
D. Moxey ◽  
P. E. Vincent ◽  
S. J. Sherwin
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
High Order ◽  
Flux Reconstruction

A New Class of High-Order Energy Stable Flux Reconstruction Schemes

2010 ◽  
Vol 47 (1) ◽  
pp. 50-72 ◽  
Author(s):  
P. E. Vincent ◽  
P. Castonguay ◽  
A. Jameson
Keyword(s):  
High Order ◽  
Flux Reconstruction ◽  
New Class ◽  
Order Energy ◽  
Energy Stable

scholarly journals High-order kinetic flow solver based on the flux reconstruction framework

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
Ji Li ◽  
Chengwen Zhong ◽  
Sha Liu
Keyword(s):  
High Order ◽  
Flux Reconstruction ◽  
Order Kinetic ◽  
Flow Solver
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