2006
DOI: 10.1002/fld.1390
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An enhanced polygonal finite‐volume method for unstructured hybrid meshes

Abstract: SUMMARYIrregular hybrid meshes may excessively distort the node-dual finite-volume discretization. A new scheme is formulated that uses a different type of polygonal control volume. Superior stability of the polygonal scheme over the conventional node-dual scheme is demonstrated on representative irregular hybrid meshes for incompressible viscous flow past a circular cylinder.

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Cited by 10 publications
(5 citation statements)
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“…(8) and (9) are also discretized over the dual finite volume where the GCL is satisfied exactly at the discrete level. The reason to utilize the present centroid-dual polyhedral finite volume is due to its superior stability properties on highly irregular meshes compared to the medial-dual finite volume [1]. This is an important issue for ALE schemes where poor quality meshes could be encountered easily.…”
Section: Numerical Discretizationmentioning
confidence: 98%
“…(8) and (9) are also discretized over the dual finite volume where the GCL is satisfied exactly at the discrete level. The reason to utilize the present centroid-dual polyhedral finite volume is due to its superior stability properties on highly irregular meshes compared to the medial-dual finite volume [1]. This is an important issue for ALE schemes where poor quality meshes could be encountered easily.…”
Section: Numerical Discretizationmentioning
confidence: 98%
“…We will consider the issues raised by the presence of such faces in Section 2. The use of an unstructured mesh consisting of generalized polyhedra simplifies the setup process for computational domains with complex geometrical shapes and helps to avoid artificial mesh imprinting due to the restrictions of a conventional mesh consisting only of tetrahedra and generalized bricks [13][14][15][16].…”
Section: Introductionmentioning
confidence: 99%
“…The test case geometry corresponds to a rectangular mold with several geometrical interior 'obstacles' as shown in Figure 3 As expected, the pressure drop is higher around the inlet and the fluid is at a higher temperature closer to the 'obstacles' due to the shear viscous effects. An accurate solution of the 3D temperature equation is important because it will affect viscosity of the polymer and, therefore, velocity, front position and pressure distribution [12].…”
Section: Numerical Resultsmentioning
confidence: 99%