Recovery Discontinuous Galerkin Jacobian-free Newton-Krylov Method for all-speed flows
There is an increasing interest to develop the next generation simulation tools for the advanced nuclear energy systems. These tools will utilize the state-of-art numerical algorithms and computer science technology in order to maximize the predictive capability, support advanced reactor designs, reduce uncertainty and increase safety margins. In analyzing nuclear energy systems, we are interested in compressible low-Mach number, high heat flux flows with a wide range of Re, Ra, and Pr numbers. Under these conditions, the focus is placed on turbulent heat transfer, in contrast to other industries whose main interest is in capturing turbulent mixing. Our objective is to develop singlepoint turbulence closure models for large-scale engineering CFD code, using Direct Numerical Simulation (DNS) or Large Eddy Simulation (LES) tools, requireing very accurate and efficient numerical algorithms. The focus of this work is placed on fully-implicit, high-order spatiotemporal discretization based on the discontinuous Galerkin method solving the conservative form of the compressible Navier-Stokes equations. The method utilizes a local reconstruction procedure derived from weak formulation of the problem, which is inspired by the recovery diffusion flux algorithm of van Leer and Nomura [?] and by the piecewise parabolic reconstruction [?] in the finite volume method. The developed methodology is integrated into the Jacobianfree Newton-Krylov framework [?] to allow a fully-implicit solution of the problem.
- Research Organization:
- Idaho National Laboratory (INL)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC07-99ID13727
- OSTI ID:
- 940064
- Report Number(s):
- INL/CON-08-14501
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ALGORITHMS
CLOSURES
COMPUTERIZED SIMULATION
COMPUTERS
DIFFUSION
Direct Numerical Simulation (DNS)
FLUID MECHANICS
HEAT FLUX
HEAT TRANSFER
Large Eddy Simulation (LES)
NAVIER-STOKES EQUATIONS
NUCLEAR ENERGY
SAFETY MARGINS
SIMULATION
TURBULENCE
numerical algorithms