Investigation of combustion model via the local collocation technique based on moving Taylor polynomial (MTP) approximation/domain decomposition method with error analysis

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

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

Organisationseinheiten

Externe Organisationen

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

Details

OriginalspracheEnglisch
Seiten (von - bis)288-301
Seitenumfang14
FachzeitschriftEngineering Analysis with Boundary Elements
Jahrgang159
Frühes Online-Datum12 Dez. 2023
PublikationsstatusVeröffentlicht - Feb. 2024

Abstract

In this paper, we develop a new meshless numerical procedure for simulating the combustion model. To that end, we employ a local meshless collocation method according to the moving Taylor polynomial (MTP) approximation. The space derivative is approximated by using the local approach and then the Crank–Nicolson algorithm is utilized to approximate the time derivative. The stability and convergence of the time-discrete formulation are discussed, analytically and numerically. The Broyden method is applied to solve this nonlinear system. Since the size of the physical domain is large, we employ the non-overlapping domain decomposition method (DDM) to obtain a faster numerical algorithm. The local meshless approaches are efficient numerical techniques to simulate models in the fluid flow. The obtained results show that the proposed numerical formulation has efficient results for solving this mathematical model.

ASJC Scopus Sachgebiete

Zitieren

Investigation of combustion model via the local collocation technique based on moving Taylor polynomial (MTP) approximation/domain decomposition method with error analysis. / Abbaszadeh, Mostafa; Khodadadian, Amirreza; Parvizi, Maryam et al.
in: Engineering Analysis with Boundary Elements, Jahrgang 159, 02.2024, S. 288-301.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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abstract = "In this paper, we develop a new meshless numerical procedure for simulating the combustion model. To that end, we employ a local meshless collocation method according to the moving Taylor polynomial (MTP) approximation. The space derivative is approximated by using the local approach and then the Crank–Nicolson algorithm is utilized to approximate the time derivative. The stability and convergence of the time-discrete formulation are discussed, analytically and numerically. The Broyden method is applied to solve this nonlinear system. Since the size of the physical domain is large, we employ the non-overlapping domain decomposition method (DDM) to obtain a faster numerical algorithm. The local meshless approaches are efficient numerical techniques to simulate models in the fluid flow. The obtained results show that the proposed numerical formulation has efficient results for solving this mathematical model.",
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author = "Mostafa Abbaszadeh and Amirreza Khodadadian and Maryam Parvizi and Mehdi Dehghan",
note = "Funding Information: The authors are grateful to the reviewers for carefully reading this paper and for their comments and suggestions which have improved the paper. A. Khodadadian acknowledges the support by FWF (Austrian Science Fund) Standalone Project No P-36520, entitled Using Single Atom Catalysts as Nanozymes in FET Sensors FET. M. Parvizi is funded by the Alexander von Humboldt Foundation, Germany project named -matrix approximability of the inverses for FEM, BEM, and FEM-BEM coupling of the electromagnetic problems. ",
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AU - Abbaszadeh, Mostafa

AU - Khodadadian, Amirreza

AU - Parvizi, Maryam

AU - Dehghan, Mehdi

N1 - Funding Information: The authors are grateful to the reviewers for carefully reading this paper and for their comments and suggestions which have improved the paper. A. Khodadadian acknowledges the support by FWF (Austrian Science Fund) Standalone Project No P-36520, entitled Using Single Atom Catalysts as Nanozymes in FET Sensors FET. M. Parvizi is funded by the Alexander von Humboldt Foundation, Germany project named -matrix approximability of the inverses for FEM, BEM, and FEM-BEM coupling of the electromagnetic problems.

PY - 2024/2

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N2 - In this paper, we develop a new meshless numerical procedure for simulating the combustion model. To that end, we employ a local meshless collocation method according to the moving Taylor polynomial (MTP) approximation. The space derivative is approximated by using the local approach and then the Crank–Nicolson algorithm is utilized to approximate the time derivative. The stability and convergence of the time-discrete formulation are discussed, analytically and numerically. The Broyden method is applied to solve this nonlinear system. Since the size of the physical domain is large, we employ the non-overlapping domain decomposition method (DDM) to obtain a faster numerical algorithm. The local meshless approaches are efficient numerical techniques to simulate models in the fluid flow. The obtained results show that the proposed numerical formulation has efficient results for solving this mathematical model.

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KW - Computational fluid dynamic (CFD)

KW - Local meshless collocation method

KW - Moving Taylor polynomial approximation

KW - Stability and convergence

KW - Water heating in home-scale heaters

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