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Numerical solutions of 2‐D steady incompressible flow in a driven skewed cavity
Author(s) -
Erturk E.,
Dursun B.
Publication year - 2007
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200610322
Subject(s) - curvilinear coordinates , skew , reynolds number , grid , flow (mathematics) , incompressible flow , mathematics , mesh generation , navier–stokes equations , compressibility , mechanics , geometry , benchmark (surveying) , physics , mathematical analysis , turbulence , geology , finite element method , geodesy , astronomy , thermodynamics
The benchmark test case for non‐orthogonal grid mesh, the “driven skewed cavity flow”, first introduced by Demirdžić et al. [5] for skew angles of α = 30° and α = 45°, is reintroduced with a more variety of skew angles. The benchmark problem has non‐orthogonal, skewed grid mesh with skew angle (α). The governing 2‐D steady incompressible Navier‐Stokes equations in general curvilinear coordinates are solved for the solution of driven skewed cavity flow with non‐orthogonal grid mesh using a numerical method which is efficient and stable even at extreme skew angles. Highly accurate numerical solutions of the driven skewed cavity flow, solved using a fine grid (512 × 512) mesh, are presented for Reynolds number of 100 and 1000 for skew angles ranging between 15° ⩽ α ⩽ 165°.