Hybrid Discontinuous Galerkin/Finite Volume Method with Subcell Resolution for Shocked Flows

AIAA Journal ◽  
2021 ◽  
pp. 1-18
Author(s):  
Zhen-Hua Jiang ◽  
Xi Deng ◽  
Feng Xiao ◽  
Chao Yan ◽  
Jian Yu ◽  
...  
Keyword(s):  
Finite Volume Method ◽  
Discontinuous Galerkin ◽  
Finite Volume ◽  
Galerkin Finite Volume Method ◽  
Volume Method

Numerical Solution of Multidimensional Compressible Flow by High Order Nodal Discontinuous Galerkin Method

2013 ◽  
Vol 392 ◽  
pp. 100-104 ◽  
Author(s):  
Fareed Ahmed ◽  
Faheem Ahmed ◽  
Yong Yang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Solution ◽  
Finite Volume Method ◽  
Discontinuous Galerkin ◽  
Finite Volume ◽  
High Order ◽  
Numerical Predictions ◽  
Volume Method ◽  
Element Method

In this paper we present a robust, high order method for numerical solution of multidimensional compressible inviscid flow equations. Our scheme is based on Nodal Discontinuous Galerkin Finite Element Method (NDG-FEM). This method utilizes the favorable features of Finite Volume Method (FVM) and Finite Element Method (FEM). In this method, space discretization is carried out by finite element discontinuous approximations. The resulting semi discrete differential equations were solved using explicit Runge-Kutta (ERK) method. In order to compute fluxes at element interfaces, we have used Roe Approximate scheme. In this article, we demonstrate the use of exponential filter to remove Gibbs oscillations near the shock waves. Numerical predictions for two dimensional compressible fluid flows are presented here. The solution was obtained with overall order of accuracy of 3. The numerical results obtained are compared with experimental and finite volume method results.

Hybrid Discontinuous Galerkin and Finite Volume Method for Launch Environment Acoustics Prediction

AIAA Journal ◽  
2015 ◽  
Vol 53 (11) ◽  
pp. 3430-3447 ◽  
Author(s):  
Robert E. Harris ◽  
Eric M. Collins ◽  
Edward A. Luke ◽  
Adrian Sescu ◽  
Louise L. Strutzenberg ◽  
...  
Keyword(s):  
Finite Volume Method ◽  
Discontinuous Galerkin ◽  
Finite Volume ◽  
Volume Method
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