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; Dehghan, Mehdi

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.

Citation

Abbaszadeh, M., Khodadadian, A., Parvizi, M., & Dehghan, M. (2024). Investigation of combustion model via the local collocation technique based on moving Taylor polynomial (MTP) approximation/domain decomposition method with error analysis. Engineering Analysis with Boundary Elements, 159, 288-301. https://doi.org/10.1016/j.enganabound.2023.11.010

• Journal Article Type: Editorial
• Acceptance Date: Nov 12, 2023
• Online Publication Date: Dec 12, 2023
• Publication Date: 2024-02
• Deposit Date: Mar 13, 2025
• Journal: Engineering Analysis with Boundary Elements
• Print ISSN: 0955-7997
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 159
• Pages: 288-301
• DOI: https://doi.org/10.1016/j.enganabound.2023.11.010
• Public URL: https://keele-repository.worktribe.com/output/1106812
• Publisher URL: https://www.sciencedirect.com/science/article/pii/S0955799723005398?via%3Dihub
• Additional Information: This article is maintained by: Elsevier; Article Title: Investigation of combustion model via the local collocation technique based on moving Taylor polynomial (MTP) approximation/domain decomposition method with error analysis; Journal Title: Engineering Analysis with Boundary Elements; CrossRef DOI link to publisher maintained version: https://doi.org/10.1016/j.enganabound.2023.11.010; Content Type: article; Copyright: © 2023 Elsevier Ltd. All rights reserved.