A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Mostafa Abbaszadeh
  • Maryam Parvizi
  • Amirreza Khodadadian
  • Thomas Wick
  • Mehdi Dehghan

Organisationseinheiten

Externe Organisationen

  • Amirkabir University of Technology
  • University of Birmingham
  • Keele University
  • Technische Universität Wien (TUW)
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)197-211
Seitenumfang15
FachzeitschriftComputers and Mathematics with Applications
Jahrgang179
Frühes Online-Datum27 Dez. 2024
PublikationsstatusVeröffentlicht - 1 Feb. 2025

Abstract

Meshless methods have become increasingly popular for solving a wide range of problems in both solid and fluid mechanics. In this study, we focus on a meshless numerical approach to solve the tropical Pacific Ocean model, which captures the horizontal velocity and layer thickness of ocean waves, using an advanced meshless Galerkin technique known as the reproducing kernel particle method (RKPM). To address the temporal component in this scheme, we apply a Crank-Nicolson finite difference method, resulting in a semi-discrete formulation. For spatial discretization, we use a kernel-based meshless Galerkin method that integrates the strengths of finite element methods with reproducing kernel particle approximations. We conduct a comprehensive stability analysis and provide an a priori estimate for the semi-discrete solution. Furthermore, we derive error estimates for both the semi-discrete and fully discrete solutions. Finally, we validate the theoretical findings and evaluate the method's efficiency through real-world test cases.

ASJC Scopus Sachgebiete

Zitieren

A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model. / Abbaszadeh, Mostafa; Parvizi, Maryam; Khodadadian, Amirreza et al.
in: Computers and Mathematics with Applications, Jahrgang 179, 01.02.2025, S. 197-211.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Abbaszadeh M, Parvizi M, Khodadadian A, Wick T, Dehghan M. A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model. Computers and Mathematics with Applications. 2025 Feb 1;179:197-211. Epub 2024 Dez 27. doi: 10.1016/j.camwa.2024.12.011
Abbaszadeh, Mostafa ; Parvizi, Maryam ; Khodadadian, Amirreza et al. / A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model. in: Computers and Mathematics with Applications. 2025 ; Jahrgang 179. S. 197-211.
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AU - Abbaszadeh, Mostafa

AU - Parvizi, Maryam

AU - Khodadadian, Amirreza

AU - Wick, Thomas

AU - Dehghan, Mehdi

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