Solution of incompressible turbulent flow by a mesh-free

By Kenneth Alexander,2014-03-29 01:50
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Solution of incompressible turbulent flow by a mesh-free method

    by R. Vertnik and B. Šarler


I am willing to recommend this excellent paper for publication in CMES.

The list of references must be considerably expanded.

    This has been done by including approximately 10 new references from CMES.

    The issue of the global continutity of the local rbf must be carefully discussed and shown.

    This issue has been additionally discussed and calculated in a new subchapter before Conclusions.

    Since this paper may appear in CMES, it is essential that it makes a connection to all the relevant papers published in CMES, in the last 3 years, in order that the regular readers of CMES appreciate the continuity and progress in research in the topics covered by these papers. Thus all papers previously published in CMES, in the last 3 years, broadly relevant to the present paper, must be cited in the final revised version of this paper. To facilitate this, the publisher is making available to you complimentary access to all the issues of CMES, from the past 3 years, for a period of 6 weeks from today.

    This has been done by including approximately 10 new references from CMES.

    Please go to, to browse throgh the contents of CMES. If you wish to download any paper, after you read the abstract, click the button "Download". If your institution is NOT a current subscriber, the system will ask you to LOGIN. Please Login, using the User ID (your email address: and the Password,"0cbfb9f2", to gain temporary free access. This free access is restricted for yourself to access the related papers only.


    Publishers' request: The authors are requested to persuade their libraries to subscribe to CMES, in order that the excellent papers which appear in this highly cited journal can be more widely read.

We have already subscribed for 2009 and will continue in 2010.

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    The publishers hope that the authors will not only continue to submit their excellent work for publication in CMES, but also support CMES by ensuring that their libraries subscribe to CMES.

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    The revised version is acceptable for publication.

    The authors are requested to note the following, and add them to their list of references, for completeness and historical accuracy.

    The first set of papers on MESHLESS methods for convection dominated flows are:

Lin H, Atluri SN .,” The Meshless Local Petrov-Galerkin (MLPG) method for solving

    incompressible Navier-Stokes equations “,CMES: Computer Modeling in Engineering &

    Sciences, 2 (2): 117-142, 2001

Lin H, Atluri SN., “ Meshless local Petrov-Galerkin (MLPG) method for convection-

    diffusion” CMES:Computer Modeling in Engineering & Sciences, 1 (2): 45-60, 2000

The two references have been added.

    In fact, the adaptive upwinding scheme given in Section 7 of the authors' paper, which the authors attribute to Gu and Liu (2005), should be attributed correctly, to Lin and Atluri (2000), who first introduced such an upwinding scheme.

    This fact of which the authors have not been previously aware has been included in the manuscript on all relavant places including the abstract.

    Further more, recent research by Han and Atluri (ICCESMM08, 2008) shows that when the meshless finite volume mixed methods are used, no upwinding is necessary even for very high Re flows.

    The paper should be revised, taking the above observations into account.

    All the suggested amendments have been incorporated into a revised version of the paper.

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