Show simple item record

dc.contributor.authorHaga, T.
dc.contributor.authorGao, H.
dc.contributor.authorWang, Zhi Jian
dc.identifier.citationHaga, 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.
dc.descriptionThis is the published version. Copyright 2011 © EDP Sciencesen_US
dc.description.abstractThe 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.publisherEDP Sciencesen_US
dc.subjectMixed unstructured gridsen_US
dc.subjectNavier-Stokes equationsen_US
dc.subjectDiscontinuous Galerkinen_US
dc.subjectSpectral collocationen_US
dc.subjectFinite differenceen_US
dc.titleA High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Gridsen_US
kusw.kuauthorWang, Zhi Jian
kusw.kudepartmentAerospace Engineeringen_US
kusw.oanotesPer SHERPA/RoMEO, 11/23/15: Author's Pre-print: green tick author can archive pre-print (ie pre-refereeing) Author's Post-print: green tick author can archive post-print (ie final draft post-refereeing) Publisher's Version/PDF: green tick author can archive publisher's version/PDF General Conditions:

On author's personal website or institutional website or OAI compliant website Some journals require an embargo for deposit in funder's designated repositories (see journal) Publisher's version/PDF may be used (see journal) Must link to publisher version Publisher copyright and source must be acknowledged Non-commercial
kusw.oaversionScholarly/refereed, publisher version
kusw.oapolicyThis item meets KU Open Access policy criteria.

Files in this item


This item appears in the following Collection(s)

Show simple item record