Numerical Simulation of Transitional Flow Past a Wing Using Flux Reconstruction Method

AIAA Journal ◽  
2016 ◽  
Vol 54 (4) ◽  
pp. 1424-1437 ◽  
Author(s):  
Vilem Skarolek ◽  
Koji Miyaji
Keyword(s):  
Numerical Simulation ◽  
Transitional Flow ◽  
Flux Reconstruction ◽  
Reconstruction Method ◽  
Flow Past

scholarly journals A flux reconstruction method for the Korteweg-de Vries equation

2021 ◽  
Vol 1978 (1) ◽  
pp. 012031
Author(s):  
Ningbo Guo ◽  
Yaming Chen ◽  
Xiaogang Deng
Keyword(s):  
Vries Equation ◽  
Flux Reconstruction ◽  
Reconstruction Method ◽  
De Vries

Numerical simulation of transonic flow past an F-16A aircraft configuration using CASPER

2000 ◽  
Author(s):  
Yoshiatsu Oki ◽  
Takeshi Sakata ◽  
Naoki Uchiyama ◽  
Takeshi Kaiden ◽  
Takeshi Andoh
Keyword(s):  
Numerical Simulation ◽  
Transonic Flow ◽  
Flow Past

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.

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