Loading...
A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids
Haga, T. Gao, H. Wang, Zhi Jian
Haga, T.
Gao, H.
Wang, Zhi Jian
Citations
Altmetric:
Abstract
The newly developed unifying discontinuous formulation named the correction procedure via reconstruction (CPR) for conservation laws is extended to solve the Navier-Stokes equations for 3D mixed grids. In the current development, tetrahedrons and triangular prisms are considered. The CPR method can unify several popular high order methods including the discontinuous Galerkin and the spectral volume methods into a more efficient differential form. By selecting the solution points to coincide with the flux points, solution reconstruction can be completely avoided. Accuracy studies confirmed that the optimal order of accuracy can be achieved with the method. Several benchmark test cases are computed by solving the Euler and compressible Navier-Stokes equations to demonstrate its performance.
Description
This is the published version. Copyright 2011 © EDP Sciences
Date
2011-05-16
Journal Title
Journal ISSN
Volume Title
Publisher
EDP Sciences
Collections
Files
Loading...
Wang_high-order2011.pdf
Adobe PDF, 3.65 MB
Research Projects
Organizational Units
Journal Issue
Keywords
High-order, Mixed unstructured grids, Navier-Stokes equations, Discontinuous Galerkin, Spectral collocation, Finite difference
Citation
Haga, T., H. Gao, and Z. J. Wang. "A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids." Mathematical Modelling of Natural Phenomena Math. Model. Nat. Phenom. 6.3 (2011): 28-56. http://dx.doi.org/10.1051/mmnp/20116302