# A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids

Mathematical Modelling of Natural Phenomena (2011)

- Volume: 6, Issue: 3, page 28-56
- ISSN: 0973-5348

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topHaga, T., Gao, H., and Wang, Z. J.. "A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids." Mathematical Modelling of Natural Phenomena 6.3 (2011): 28-56. <http://eudml.org/doc/222205>.

@article{Haga2011,

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. },

author = {Haga, T., Gao, H., Wang, Z. J.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {high-order; mixed unstructured grids; Navier-Stokes equations; discontinuous Galerkin; spectral collocation; finite difference; finite difference method; tetrahedrons; triangular prisms},

language = {eng},

month = {5},

number = {3},

pages = {28-56},

publisher = {EDP Sciences},

title = {A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids},

url = {http://eudml.org/doc/222205},

volume = {6},

year = {2011},

}

TY - JOUR

AU - Haga, T.

AU - Gao, H.

AU - Wang, Z. J.

TI - A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids

JO - Mathematical Modelling of Natural Phenomena

DA - 2011/5//

PB - EDP Sciences

VL - 6

IS - 3

SP - 28

EP - 56

AB - 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.

LA - eng

KW - high-order; mixed unstructured grids; Navier-Stokes equations; discontinuous Galerkin; spectral collocation; finite difference; finite difference method; tetrahedrons; triangular prisms

UR - http://eudml.org/doc/222205

ER -

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