Abstract
The discretization of the viscous operator in an edge-based flow solver for unstructured grids has been investigated. A compact discretization of the Laplace and thin-layer operators in the viscous terms is used with two different wall boundary conditions. Furthermore, a wide discretization of the same operators is investigated. The resulting numerical operators are all formally second order accurate in space; the wide operator has higher truncation errors. The operators are implemented weakly using a penalty formulation and are shown to be stable for a scalar model problem with given constraints on the penalty coefficients. The different operators are applied to a set of grid convergence test cases for laminar flow in two dimensions up to a large-scale three dimensional turbulent flow problem. The operators converge to the same solutions as the grids are refined with one exception where the wide operator converges to a solution with higher drag. The 2nd compact discretization, being locally more accurate at a wall boundary than the original 1st compact operator, reduces the grid dependency somewhat for most test cases. The wide operator performs very well and leads for most test cases to results with minimum spread between coarsest and finest grids. For one test case though, the wide operator has a negative influence on the steady state convergence.
Original language | English |
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Publication status | Published - 2013 |
Externally published | Yes |
Event | 21st AIAA Computational Fluid Dynamics Conference - San Diego, CA, United States Duration: 24 Jun 2013 → 27 Jun 2013 |
Conference
Conference | 21st AIAA Computational Fluid Dynamics Conference |
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Country/Territory | United States |
City | San Diego, CA |
Period | 24/06/13 → 27/06/13 |
ASJC Scopus subject areas
- Fluid Flow and Transfer Processes
- Energy Engineering and Power Technology
- Aerospace Engineering
- Mechanical Engineering