dc.contributor.author | Haga, T. | |
dc.contributor.author | Gao, H. | |
dc.contributor.author | Wang, Zhi Jian | |
dc.date.accessioned | 2015-11-23T15:18:01Z | |
dc.date.available | 2015-11-23T15:18:01Z | |
dc.date.issued | 2011-05-16 | |
dc.identifier.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 | en_US |
dc.identifier.uri | http://hdl.handle.net/1808/18980 | |
dc.description | This is the published version. Copyright 2011 © EDP Sciences | en_US |
dc.description.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. | en_US |
dc.publisher | EDP Sciences | en_US |
dc.subject | High-order | en_US |
dc.subject | Mixed unstructured grids | en_US |
dc.subject | Navier-Stokes equations | en_US |
dc.subject | Discontinuous Galerkin | en_US |
dc.subject | Spectral collocation | en_US |
dc.subject | Finite difference | en_US |
dc.title | A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids | en_US |
dc.type | Article | |
kusw.kuauthor | Wang, Zhi Jian | |
kusw.kudepartment | Aerospace Engineering | en_US |
dc.identifier.doi | 10.1051/mmnp/20116302 | |
kusw.oaversion | Scholarly/refereed, publisher version | |
kusw.oapolicy | This item meets KU Open Access policy criteria. | |
dc.rights.accessrights | openAccess | |