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A Conservative Finite-Volume Second-Order-Accurate Projection Method on Hybrid Unstructured Grids

✍ Scribed by Marcelo H Kobayashi; José M.C Pereira; José C.F Pereira

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
490 KB
Volume
150
Category
Article
ISSN
0021-9991

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✦ Synopsis

This paper describes a finite volume discretization method to compute steady, twodimensional incompressible viscous recirculating flows using hybrid unstructured meshes, composed of triangles and quadrilaterals. However, the proposed formulation is not restricted to these topologies.

The new method includes a second-order least squares scheme for convection discretization, and a fractional step projection method based on a staggered grid arrangement for pressure velocity coupling. Numerical results are reported to demonstrate the robustness, second-order accuracy, and flexibility of the proposed method.

To the authors' knowledge, this paper represents the first general unstructured grid finite volume method to achieve full second-order accuracy for the steady incompressible 2D version of Navier-Stokes equations.

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