The Hybridized Discontinuous Galerkin Method for Implicit Large Eddy Simulations of Magnetohydrodynamic Flows
Abstract
We develop hybridized discontinuous Galerkin (HDG) methods for ideal and resistive compressible magnetohydrodynamics (MHD. The methods are fully implicit, high-order accurate and reduce the globally coupled unknowns to the approximate trace of the solution on element boundaries. Furthermore, we develop a shock capturing method to deal with shocks by appropriately adding artificial bulk viscosity, molecular viscosity, thermal conductivity, and electric resistivity to the physical viscosities in the MHD equations. In a step towards a full MHD Large-Eddy Simulation (LES) capability, we develop high-order Implicit LES approaches for transitional flows. Various turbulence phenomena are predicted and demonstrated, such as periodic low-frequency oscillations of shock wave in the stream wise direction, strong shear layer-detached from the shock wave due to shock wave boundary layer interaction and shock induced flow separation. In order to exploit the hardware advances in GPU architectures we develop a matrix-free solution approach which has been implemented on GPU computers
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 17, 2021
- Accession Number
- AD1146066
Entities
People
- Jaime Peraire
- Ngoc Cuong Nguyen
Organizations
- Massachusetts Institute of Technology