期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 229, 期 5, 页码 1810-1827出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2009.11.010
关键词
Discontinuous Galerkin; Compressible Navier-Stokes; Shock capturing; Artificial viscosity
资金
- National Defense Science and Engineering Graduate
- US Air Force Research Laboratory [USAF-3306-03-SC-0001]
- The Boeing Company
- National Aeronautics and Space Administration [NNX07AC70A]
Artificial viscosity can be combined with a higher-order discontinuous Galerkin finite element discretization to resolve a shock layer within a single cell. However, when a non-smooth artificial viscosity model is employed with an otherwise higher-order approximation, element-to-element variations induce oscillations in state gradients and pollute the downstream flow. To alleviate these difficulties, this work proposes a higher-order, state-based artificial viscosity with an associated governing partial differential equation (PDE). In the governing PDE, a shock indicator acts as a forcing term while grid-based diffusion is added to smooth the resulting artificial viscosity. When applied to heat transfer prediction on unstructured meshes in hypersonic flows, the PDE-based artificial viscosity is less susceptible to errors introduced by grid edges oblique to captured shocks and boundary layers, thereby enabling accurate heat transfer predictions. (C) 2009 Elsevier Inc. All rights reserved.
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