Math. Model. Nat. Phenom.
Volume 6, Number 3, 2011Computational aerodynamics
|Page(s)||28 - 56|
|Published online||16 May 2011|
A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids
Department of Aerospace Engineering and CFD Center, Iowa State University,
50011 Ames, USA
⋆ Corresponding author. E-mail: firstname.lastname@example.org
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.
Mathematics Subject Classification: 65M70 / 76M20 / 76M22
Key words: high-order / mixed unstructured grids / Navier-Stokes equations / discontinuous Galerkin / spectral collocation / finite difference
© EDP Sciences, 2011
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