Cavendish, J. C.; Hall, C. A.; Porsching, T. A. A complementary volume approach for modelling three-dimensional Navier- Stokes equations using dual Delaunay/Voronoi tessellations. (English) Zbl 0815.76041 Int. J. Numer. Methods Heat Fluid Flow 4, No. 4, 329-345 (1994). Summary: We describe a new mathematical approach for deriving and solving covolume models of the three-dimensional, incompressible Navier-Stokes flow equations. The approach integrates three technical components into a single modeling algorithm: automatic grid generation; covolume equation generation; dual variable reduction. Cited in 8 Documents MSC: 76M10 Finite element methods applied to problems in fluid mechanics 76M20 Finite difference methods applied to problems in fluid mechanics 76D05 Navier-Stokes equations for incompressible viscous fluids Keywords:automatic grid generation; covolume equation generation; dual variable reduction PDFBibTeX XMLCite \textit{J. C. Cavendish} et al., Int. J. Numer. Methods Heat Fluid Flow 4, No. 4, 329--345 (1994; Zbl 0815.76041) Full Text: DOI References: [1] DOI: 10.1016/0021-9991(81)90206-0 · Zbl 0452.76024 · doi:10.1016/0021-9991(81)90206-0 [2] Berge C., Games and Transportation Networks (1965) [3] DOI: 10.1002/nme.1620210210 · Zbl 0573.65090 · doi:10.1002/nme.1620210210 [4] DOI: 10.1016/B978-0-12-747255-3.50009-5 · doi:10.1016/B978-0-12-747255-3.50009-5 [5] DOI: 10.1108/eb017507 · doi:10.1108/eb017507 [6] Cavendish J. C., Proc. 7th Int. Conf. Num. Meth. Lamin. Turbul. Flows, Stanford Univ. (1991) [7] DOI: 10.1002/nme.1620020411 · doi:10.1002/nme.1620020411 [8] Finney J. L, J. Comp. Phys. 137 (1979) [9] DOI: 10.1002/nme.1620241111 · Zbl 0621.73098 · doi:10.1002/nme.1620241111 [10] DOI: 10.1137/0606064 · Zbl 0579.05060 · doi:10.1137/0606064 [11] DOI: 10.1137/0606020 · Zbl 0575.65122 · doi:10.1137/0606020 [12] DOI: 10.1016/0045-7930(91)90017-C · Zbl 0729.76047 · doi:10.1016/0045-7930(91)90017-C [13] DOI: 10.1002/fld.1650151203 · Zbl 0825.76445 · doi:10.1002/fld.1650151203 [14] DOI: 10.1080/10618569408904486 · doi:10.1080/10618569408904486 [15] DOI: 10.1063/1.1761178 · Zbl 1180.76043 · doi:10.1063/1.1761178 [16] Nicolaides R. A., Proc. 9th AIAA CFD Meet., Buffalo, N.Y. AIAA Paper 89-1978 (1989) [17] Nicolaides R. A., Proc. 7th Int. Conf. Finite Elements in Flow Problems pp 1– (1989) [18] DOI: 10.1137/0729003 · Zbl 0745.65063 · doi:10.1137/0729003 [19] DOI: 10.1007/978-3-642-85952-6 · doi:10.1007/978-3-642-85952-6 [20] DOI: 10.1002/num.1690010405 · Zbl 0637.76112 · doi:10.1002/num.1690010405 [21] Porsching T. A, Nucl. Sci. Engng. 64 pp 177– (1977) [22] Porsching T. A., Proc. Fifth Int. Top. Meet. Nucl. React. Therm. Hydraulics, Salt Lake City pp 1767– (1992) [23] DOI: 10.1093/comjnl/21.3.243 · doi:10.1093/comjnl/21.3.243 [24] DOI: 10.1093/comjnl/24.2.167 · doi:10.1093/comjnl/24.2.167 [25] Wu X., PhD Dissert. (1991) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.