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Engineering with Computers
Erschienen in: Engineering with Computers 3/2019

11.08.2018 | Original Article

Local meshless method for convection dominated steady and unsteady partial differential equations

verfasst von: Vikendra Singh, Siraj-ul-Islam, R. K. Mohanty

Erschienen in: Engineering with Computers | Ausgabe 3/2019

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Abstract

In this paper, we propose a mildly shock-capturing stabilized local meshless method (SLMM) for convection-dominated steady and unsteady PDEs. This work is extension of the numerical procedure, which was designed only for steady state convection-dominated PDEs (Siraj-ul-Islam and Singh in Int J Comput Methods 14(6):1750067, 2017). The proposed meshless methodology is based on employing different type of stencils embodying the already known flow direction. Numerical experiments are performed to compare the proposed method with the finite-difference method on special grid (FDSG) and other numerical methods. Numerical results confirm that the new approach is accurate and efficient for solving a wide class of one- and two- dimensional convection-dominated PDEs having sharp corners and jump discontinuities. Performance of the SLMM is found better in some cases and comparable in other cases, than the mesh-based numerical methods.
Vorheriger Artikel An efficient hybrid of elephant herding optimization and cultural algorithm for optimal design of trusses
Nächster Artikel Optimum stacking sequence design of composite laminates for maximum buckling load capacity using parameter-less optimization algorithms

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Metadaten
Titel
Local meshless method for convection dominated steady and unsteady partial differential equations
verfasst von
Vikendra Singh
Siraj-ul-Islam
R. K. Mohanty
Publikationsdatum
11.08.2018
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 3/2019
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-018-0632-4

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