TY - JOUR

T1 - Investigation of combustion model via the local collocation technique based on moving Taylor polynomial (MTP) approximation/domain decomposition method with error analysis

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

Y1 - 2024/2

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.

AB - 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.

KW - Broyden method

KW - Combustion model

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

UR - http://www.scopus.com/inward/record.url?scp=85179587413&partnerID=8YFLogxK

U2 - 10.1016/j.enganabound.2023.11.010

DO - 10.1016/j.enganabound.2023.11.010

M3 - Article

AN - SCOPUS:85179587413

VL - 159

SP - 288

EP - 301

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

SN - 0955-7997

ER -