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  • Articles  (18)
  • Fertilization  (10)
  • Navier-Stokes equations  (8)
  • Wiley-Blackwell  (18)
  • American Chemical Society
  • American Institute of Physics (AIP)
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  • Biology  (10)
  • Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics  (8)
  • Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
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  • Articles  (18)
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  • Wiley-Blackwell  (18)
  • American Chemical Society
  • American Institute of Physics (AIP)
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  • 1990-1994  (18)
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  • Biology  (10)
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  • 1
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    Electronic Resource
    Protamine-histone replacement and DNA replication in the male mouse pronucleus (1990)
    New York, NY [u.a.] : Wiley-Blackwell
    Molecular Reproduction and Development 25 (1990), S. 72-76 
    Details
    ISSN: 1040-452X
    Keywords: Fertilization ; Immunofluorescence ; Autoradiography ; Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology
    Notes: The protamine to histone replacement in fertilized mouse eggs was studied by using antibodies to these proteins. Its course was followed with respect to DNA replication by autoradiography of 3H-thymidine-labeled fertilized eggs. It was found that protamines were replaced by histones before the onset of DNA replication.
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    URL: http://dx.doi.org/10.1002/mrd.1080250113
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  • 2
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    Culture media for mouse oocyte maturation affect subsequent embryonic development (1990)
    New York, NY [u.a.] : Wiley-Blackwell
    Molecular Reproduction and Development 25 (1990), S. 164-171 
    Details
    ISSN: 1040-452X
    Keywords: Oocyte maturation ; Developmental capacity ; Culture medium ; Fertilization ; Mouse ; Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology
    Notes: These experiments were done to determine whether the culture medium used for the spontaneous maturation of mouse oocytes can affect the subsequent capacity of the ova to become fertilized and complete preimplantation development in vitro and development to live young. Oocytes obtained from antral follicles of gonadotropin-primed immature mice underwent spontaneous maturation in control medium, i.e. Eagle's Minimum Essential Medium (MEM) supplemented with 5% fetal bovine serum, or in one of eight different media which were also supplemented with serum. All of the ova were fertilized in Whitten's medium and were assessed for cleavage to the 2-cell stage and for further preimplantation development to blastocysts during culture in Whitten's medium. Three of the eight media used for oocyte maturation improved the capacity of the ova to develop to the blastocyst stage when compared with the control: Waymouth MB 752/1, MEM with non-essential amino acids, and MEM Alpha; Waymouth medium promoted the highest frequency of development of ova to the blastocyst stage. Moreover, the blastocysts derived from oocytes that matured in Waymouth medium contained more cells than blastocysts derived from oocytes that matured in control medium. Although BGJb medium promoted the cleavage of eggs to the 2-cell stage when present during oocyte maturation, it had a detrimental effect on their subsequent preimplantation developmental capacity. Following transfer to foster mothers, more 2-cell stage embryos developed to live young after oocyte maturation in Waymouth medium (21%) than in control medium (13%). It is concluded that the medium used for oocyte maturation in vitro can affect processes involved in the subsequent development of the eggs and that, of the media tested, Waymouth MB 752/1 promoted the highest capacity for embryo development of maturing mouse oocytes.
    Additional Material: 5 Ill.
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    URL: http://dx.doi.org/10.1002/mrd.1080250209
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  • 3
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    Carbohydrates and fertilization in animals (1990)
    New York, NY [u.a.] : Wiley-Blackwell
    Molecular Reproduction and Development 26 (1990), S. 184-198 
    Details
    ISSN: 1040-452X
    Keywords: Sperm ; Eggs ; Glycosaminoglycans ; Glycoconjugates ; Glycoproteins ; Zona pellucida ; Capacitation ; Acrosome reaction ; Fertilization ; Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology
    Notes: A frequently used mechanism for sperm-egg recognition in many species involves complementary protein-carbohydrate interaction. The usual paradigm includes complex glycoconjugates in reproductive tract fluids or on the eggs which are recognized by carbohydrate-binding proteins on the sperm surface. Various glycocojugates are utilized in the steps of sperm capacitation, sperm binding to the egg extracellular matrix and vitelline membrane and induction of the acrosome reaction. Several types of complex glycoconjugates are involved in these processes, including proteoglycans, lactosaminoglycans, sulfated fucose-containing glycoconjugates, and glycoproteins. There appear to be some structural similarities between active glycoconjugates; they are large in molecular weight and complex, and they are often sulfated, fucosylated, and attached to a protein through serine or threonine residues. In some species, the protein core of the glycoconjugates also participates in the interaction by limiting the binding of carbohydrates to sperm only of the relevant species, likely by providing the proper steric arrangement for the interaction. In other cases the protein core seems to serve more as a crosslinker of the carbohydrate moieties. This review discusses the types of glycoconjugates implicated in fertilization and the complementary lectin-like proteins found on sperm.
    Additional Material: 3 Ill.
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    URL: http://dx.doi.org/10.1002/mrd.1080260213
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  • 4
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    Subzonal transfer of multiple sperm (MIST) into early human embryos (1990)
    New York, NY [u.a.] : Wiley-Blackwell
    Molecular Reproduction and Development 26 (1990), S. 253-260 
    Details
    ISSN: 1040-452X
    Keywords: Microinsemination ; Micromanipulation ; Fertilization ; Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology
    Notes: Micronsemination sperm transfer (MIST) is a technique whereby sperm are transferred into the perivitelline space (PVS) with the aid of a micromanipulator. MIST is now used to investigate whether blastomere membranes of early human embryos are capable of fusing with the sperm as in the metaphase II oocyte. Between 10 and 30 sperm were transferred into 11 donated human embryos between pronuclear and 16 cell stage. After culture for 6-24 hr in vitro, the embryos were fixed for transmission electron microscopy (TEM). Both acrosome-intact and acrosome-reacted sperm were located in the PVS and between blastomeres. Sperm in the PVS were sometimes penetrating the inner regions of the zona. Sperm-blastomere membrane fusion was not observed, but sperm tail incorporation by phagocytosis was occasionally evident. Sperm heads incorporated into blastomeres were often located in membrane-bound vesicles. Both acrosome-intact and acrosome-reacted sperm heads were found in vacuoles. Acrosome-reacted sperm heads were lying passively in vacuoles or were undergoing degenerative changes at their surfaces. Sperm chromatin decondensation was not observed in any of the sperm heads that were detected in the blastomeres. The evidence presented clearly shows that sperm heads are incapable of expanding their chromatin to form typical male pronuclei following MIST into early human embryos.
    Additional Material: 8 Ill.
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    URL: http://dx.doi.org/10.1002/mrd.1080260309
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  • 5
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    Ca2+ uptake during capacitation of mouse spermatozoa and the effect of an anion transport inhibitor on Ca2+ uptake (1990)
    New York, NY [u.a.] : Wiley-Blackwell
    Molecular Reproduction and Development 26 (1990), S. 63-68 
    Details
    ISSN: 1040-452X
    Keywords: Ca2+ microelectrode ; Mammalian spermatozoa ; Fertilization ; Bicarbonate ions ; Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology
    Notes: With a specially constructed chamber, Ca2+ uptake by mouse spermatozoa was monitored continuously during capacitation and the acrosome reaction. It was shown, using calcium ion-selective microelectrodes, that there was an initial uptake of Ca2+ by spermatozoa undergoing capacitation. Such net transport was also promoted by the divalent cation ionophores A23187 or ionomycin. An anion inhibitor, SITS, produced dose-dependent inhibition of Ca2+ uptake. This inhibitor reduced the incidence of capacitation as revealed by a reduction in the B pattern by chlortetracycline (CTC) assay and thus inhibited fertilization, suggesting that anions are involved in calcium uptake in mouse spermatozoa.
    Additional Material: 7 Ill.
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    URL: http://dx.doi.org/10.1002/mrd.1080260110
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  • 6
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    Immunocytochemical studies of hamster oocyte activation (1990)
    New York, NY [u.a.] : Wiley-Blackwell
    Molecular Reproduction and Development 26 (1990), S. 331-336 
    Details
    ISSN: 1040-452X
    Keywords: Heparin-binding placental protein ; Immunofluorescence ; Microinjection ; Nonphysiological oocyte activation ; Fertilization ; Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology
    Notes: By indirect immunofluorescence, using rabbit anti-heparin-binding placental protein (HBPP) antiserum, we studied HBPP expression by physiologically and non-physiologically (microsurgically) activated hamster gametes. Whereas mature gametes (sperm, metaphase II oocytes) were negative, in vivo conceived preimplantation embryos, from pronuclear to two- and four-cell stages, were HBPP positive. No HBPP was demonstrated in the zona pellucida, but HBPP-dependent immunofluorescence was localized in the perivitelline space. Oocytes incubated with hyaluronidase demonstrated variable responses from negative to positive. (Diluent or sperm) microinjected oocytes were all activated and HBPP positive within 4 h after stimulation. Thus neither activation by microinjection nor HBPP expression required paternal gametes. These kinetics suggest that HBPP may be a cortical granule secretogogue which can be applied to monitor oocyte responses during in vitro manipulations.
    Additional Material: 5 Ill.
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    URL: http://dx.doi.org/10.1002/mrd.1080260407
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  • 7
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    Chymotrypsin-like enzymes are involved in sperm penetration through the vitelline coat of Ciona intestinalis egg (1990)
    New York, NY [u.a.] : Wiley-Blackwell
    Molecular Reproduction and Development 26 (1990), S. 319-323 
    Details
    ISSN: 1040-452X
    Keywords: Spermatozoa ; Lysins ; Fertilization ; Ascidians ; Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology
    Notes: In Ciona intestinalis, sperm penetration through the egg vitelline coat is an essential event of fertilization. We investigated whether trypsin- and chymotrypsin-like enzymes are involved in this event. Inhibitors and peptide substrates for chymotrypsin-like enzymes blocked the overall process of fertilization in a concentration-dependent manner. The inhibitory activity was specifically exerted on the step of sperm penetration. Chymotrypsin-like protease activity was identified in spermatozoa with the fluorogenic synthetic substrate Suc-Ala-Ala-Phe-AMC, which was the most effective substrate in blocking sperm penetration. These data indicate that a chymotrypsin-like protease activity is a sperm lysin of Ciona intestinalis.
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    URL: http://dx.doi.org/10.1002/mrd.1080260405
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  • 8
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    Identification of extracellular proteins in the rat cumulus oophorus (1990)
    New York, NY [u.a.] : Wiley-Blackwell
    Molecular Reproduction and Development 25 (1990), S. 339-344 
    Details
    ISSN: 1040-452X
    Keywords: Fertilization ; Oocyte investments ; Cumulus matrix ; Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology
    Notes: We have examined the proteins associated with the mucous matrix of the rat cumulus oophorus and compared them to the composition of rat serum, follicular fluid, ampullary fluid, and oocyte-cumulus cell extract. The cumulus matrix was dispersed using Streptomyces hyaluronidase, and the proteins were analyzed by highresolution two-dimensional polyacrylamide gel electrophoresis and compared with proteins of the serum, proestrous follicular fluid, and postvulatory ampullary fluid and extracts of oocytes and cumulus cells. In addition to albumin and transferrin, which were common to all the fluids analyzed, the cumulus material contained many proteins in common with the follicular fluid and the ampullary fluid. However, the protein extract of the cumulus matrix also contained four major proteins not present in the other fluids analyzed. Two of these proteins were acidic and heterogenous in charge and size (MW ∼81,000 and 100,000). The other two proteins were more basic and occurred at MW ∼90,000 and 150,000. Our results show that the extracellular matrix of the cumulus contains proteins that are not present in the fluids that surround the oocyte.
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    URL: http://dx.doi.org/10.1002/mrd.1080250405
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  • 9
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    Effects of gossypol on the motility of mammalian sperm (1990)
    New York, NY [u.a.] : Wiley-Blackwell
    Molecular Reproduction and Development 25 (1990), S. 400-408 
    Details
    ISSN: 1040-452X
    Keywords: Sperm motility ; Fertilization ; Male contraception ; Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology
    Notes: The effects of the male contraceptive gossypol on the motility of mammalian spermatozoa are reviewed. The role of sperm motility in the processes of fertilization and the effect of the drug on these processes determine its effectiveness as a contraceptive. The promising male contraceptive potential of gossypol is discussed in the context of the serious adverse effects of the agent.
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    URL: http://dx.doi.org/10.1002/mrd.1080250414
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  • 10
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    Effect of oviduct cells on the incidence of polyspermy in pig eggs fertilized in vitro (1990)
    New York, NY [u.a.] : Wiley-Blackwell
    Molecular Reproduction and Development 26 (1990), S. 377-382 
    Details
    ISSN: 1040-452X
    Keywords: Oocyte ; Fertilization ; IVF ; Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology
    Notes: The consequences of interactions between porcine sperm, eggs, and oviduct cells before and during fertilization in vitro (IVF) has been examined with particular reference to the block to polyspermy. The pattern of polypeptides secreted by porcine oviduct epithelial cells has been determined and its effects on sperm both during pre-fertilization co-culture and during fertilization have been examined. In standard IVF procedures with no oviduct cell involvement, high rates of penetration (91%) were accompanied by equally high rates of multiple sperm penetration (91% of penetrated eggs). Fertilization on oviduct cell monolayers or a combination of 1 h co-culture of sperm and oviduct cells before the addition of in vitro matured oocytes did not reduce polyspermy. However, a sperm-oviduct cell co-culture period of 2.5 h followed by IVF on oviduct cells selectively reduced the rate of polyspermy by 40% and 50% in two separate series of trials (United Kingdom and Japan, respectively): Overall fertilization rates after this treatment were high (95% or 84%, respectively). A 3.5 h period of pre-fertilization co-culture further reduced polyspermy to only 14% of penetrated eggs, but this treatment was accompanied by a sharp drop in the fertilization rate from an overall mean of 88% for all other groups to 19% after 3.5 h co-culture.
    Additional Material: 2 Ill.
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    URL: http://dx.doi.org/10.1002/mrd.1080260413
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  • 11
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    Spectral simulations of oscillatory convection at low Prandtl number (1990)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 10 (1990), S. 481-517 
    Details
    ISSN: 0271-2091
    Keywords: Spectral methods ; Chebyshev polynomials ; Navier-Stokes equations ; Time-dependent convection ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Pseudospectral methods are used for the computation of the time-dependent convective flows which arise in shallow cavities filled with low-Prandtí-number liquids when submitted to a horizontal temperature gradient. In similar situations several former numerical results have been shown to disagree about the determination of the threshold of oscillations and about the subsequent supercritical regimes. Two different tau-Chebyshev methods based on the vorticity-streamfunction formulation and using multistep time schemes are considered. Their results are discussed to assess the validity of the solutions. The physical problems concern rectangular cavities which involve either a rigid or a stress-free top wall and either conducting or insulating horizontal walls. Aside from the prediction of the onset of oscillations, which is discussed in the various situations with respect to the results of linear and non-linear analyses and to other computational results, the present study exhibits some bifurcation sequences and a hysteresis cycle at moderate Grashof numbers which are associated to the occurrence of multiple solutions.
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    URL: http://dx.doi.org/10.1002/fld.1650100502
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  • 12
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    On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory (1990)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 11 (1990), S. 587-620 
    Details
    ISSN: 0271-2091
    Keywords: Incompressible flow ; Navier-Stokes equations ; Projection methods ; Splitting methods ; Fractional step methods ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Ever since the time of Chorin's classic 1968 paper on projection methods, there have been lingering and poorly understood issues related to the best - or even proper or appropriate - boundary conditions (BCs) that should be (or could be) applied to the ‘intermediate’ velocity when the viscous terms in the incompressible Navier-Stokes equations are treated with an implicit time integration method and a Poisson equation is solved as part of a ‘time step’. These issues also pervade all related methods that uncouple the equations by ‘splitting’ the pressure computation from that of the velocity - at least in the presence of solid boundaries and (again) when implicit treatment of the viscous terms is employed. This paper is intended to clarify these issues by showing which intermediate BCs are ‘best’ and why some that are not work well anyway. In particular we show that all intermediate BCs must cause problems related to the regularity of the solution near boundaries, but that a near-miraculous recovery occurs such that accurate results are nevertheless achieved beyond the spurious boundary layer introduced by such methods. The mechanism for this ‘miracle’ is related to the existence of a higher-order equation that is actually satisfied by the pressure. All that is required then for projection (splitting, fractional step, etc.) methods to work well is that the spurious boundary layer be thin - as has been largely observed in practice.
    Additional Material: 1 Tab.
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    URL: http://dx.doi.org/10.1002/fld.1650110509
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  • 13
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    On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation (1990)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 11 (1990), S. 621-659 
    Details
    ISSN: 0271-2091
    Keywords: Incompressible flows ; Navier-Stokes equations ; Projection methods ; Consistent mass ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Ever since the expansion of the finite element method (FEM) into unsteady fluid mechanics, the ‘consistent mass matrix’ has been a relevant issue. Applied to the time-dependent incompressible Navier-Stokes equations, it virtually demands the use of implicit time integration methods in which full ‘velocity-pressure coupling’ is also inherent. The high cost of such (high-quality) FEM calculations led to the development of simpler but ad hoc methods in which the ‘lumped’ mass matrix is employed and the velocity and pressure are uncoupled to the maximum extent possible. Resulting computer codes were less expensive to use but suffered a significant loss of accuracy, caused by lumping the mass when the flow was advection-dominated and accurate transport of ‘information’ was important. In the second part of this paper we re-introduce the consistent mass matrix into some semi-implicit projection methods in such a way that the cost advantage of lumped mass and the accuracy advantage of consistent mass are simultaneously realized.
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    URL: http://dx.doi.org/10.1002/fld.1650110510
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  • 14
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    Fundamental solutions of the streamfunction-vorticity formulation of the Navier-Stokes equations (1990)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 10 (1990), S. 1-12 
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    ISSN: 0271-2091
    Keywords: Fundamental solutions ; Navier-Stokes equations ; Regular boundary elements ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A new boundary element procedure is developed for the solution of the streamfunction-vorticity formulation of the Navier-Stokes equations in two dimensions. The differential equations are stated in their transient version and then discretized via finite differences with respect to time. In this discretization, the non-linear inertial terms are evaluated in a previous time step, thus making the scheme explicit with respect to them. In the resulting discretized equations, fundamental solutions that take into account the coupling between the equations are developed by treating the non-linear terms as in homogeneities. The resulting boundary integral equations are solved by the regular boundary element method, in which the singular points are placed outside the solution domain.
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    URL: http://dx.doi.org/10.1002/fld.1650100102
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  • 15
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    Upwind discretization of the steady Navier-Stokes equations (1990)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 11 (1990), S. 99-117 
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    ISSN: 0271-2091
    Keywords: Upwind schemes ; Navier-Stokes equations ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A discretization method is presented for the full, steady, compressible Navier-Stokes equations. The method makes use of quadrilateral finite volumes and consists of an upwind discretization of the convective part and a central discretization of the diffusive part. In the present paper the emphasis lies on the discretization of the convective part. The solution method applied solves the steady equations directly by means of a non-linear relaxation method accelerated by multigrid. The solution method requires the discretization to be continuously differentiable. For two upwind schemes which satisfy this requirement (Osher's and van Leer's scheme), results of a quantitative error analysis are presented. Osher's scheme appears to be increasingly more accurate than van Leer's scheme with increasing Reynolds number. A suitable higher-order accurate discretization of the convection terms is derived. On the basis of this higher-order scheme, to preserve monotonicity, a new limiter is constructed. Numerical results are presented for a subsonic flat plate flow and a supersonic flat plate flow with oblique shock wave-boundary layer interaction. The results obtained agree with the predictions made. Useful properties of the discretization method are that it allows an easy check of false diffusion and that it needs no tuning of parameters.
    Additional Material: 19 Ill.
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    URL: http://dx.doi.org/10.1002/fld.1650110107
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  • 16
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    Numerical solution of the steady incompressible Navier - Stokes equations for the flow past a sphere by a multigrid defect correction technique (1990)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 11 (1990), S. 379-395 
    Details
    ISSN: 0271-2091
    Keywords: Navier-Stokes equations ; Rigid sphere ; Finite difference schemes ; Accuracy ; Multigrid ; Defect corrections ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A nested non-linear multigrid algorithm is developed to solve the Navier-Stokes equations which describe the steady incompressible flow past a sphere. The vorticity-streamfunction formulation of the Navier-Stokes equations is chosen. The continuous operators are discretized by an upwind finite difference scheme. Several algorithms are tested as smoothing steps. The multigrid method itself provides only a first-order-accurate solution. To obtain at least second-order accuracy, a defect correction iteration is used as outer iteration. Results are reported for Re = 50, 100, 400 and 1000.
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    URL: http://dx.doi.org/10.1002/fld.1650110403
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  • 17
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    A fractional-step Taylor-Galerkin method for unsteady incompressible flows (1990)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 11 (1990), S. 501-513 
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    ISSN: 0271-2091
    Keywords: Navier-Stokes equations ; Time-dependent advection-dominated flows ; Taylor-Galerkin method ; Finite elements ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: This paper describes the application of the Taylor-Galerkin method to the calculation of incompressible viscous flows. A finite element fractional-step method for the Navier-Stokes equations is combined with the Taylor-Galerkin method to achieve an accurate treatment of the convection part of the problem. A scheme of second-order accuracy in time for the non-linear convection written in non-conservative form is presented. Numerical results are provided to illustrate the quality of the computed transient solutions in two dimensions.
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    URL: http://dx.doi.org/10.1002/fld.1650110504
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  • 18
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    Discretization of incompressible vorticity-velocity equations on triangular meshes (1990)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 11 (1990), S. 823-833 
    Details
    ISSN: 0271-2091
    Keywords: Navier-Stokes equations ; Vorticity-velocity formulation ; Voronoi diagram ; Complementary volumes ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: This paper describes a new approach to discretizing first- and second-order partial differential equations. It combines the advantages of finite elements and finite differences in having both unstructured (triangular/tetrahedral) meshes and low-order physically intuitive schemes. In this ‘co-volume’ framework, the discretized gradient, divergence, curl, (scalar) Laplacian, and vector Laplacian operators satisfy relationships found in standard vector field theory, such as a Helmholtz decomposition. This article focuses on the vorticity-velocity formulation for planar incompressible flows. The algorithm is described and some supporting numerical evidence is provided.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650110608
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