Work

A Meshless Radial Point Interpolation Method for Solving Fractional Navier–Stokes Equations

Year: 2024

Type: article

Abstract: This paper aims to develop a meshless radial point interpolation (RPI) method for obtaining the numerical solution of fractional Navier–Stokes equations. The proposed RPI method discretizes differential equations into highly nonlinear algebraic equations, which are subsequently solved using a fixed-point method. Furthermore, a comprehensive analysis regarding the effects of spatial and temporal discretization, polynomial order, and fractional order is conducted. These factors’ impacts on the accuracy and efficiency of the solutions are discussed in detail. It can be shown that the meshless RPI method works quite well for solving some benchmark problems accurately.

Source: Axioms

DOI: 10.3390/axioms13100695

Authors: Arman Dabiri, Behrouz Parsa Moghaddam, Elham Taghizadeh, Alexandra Galhano

Institutions: Southern Illinois University Edwardsville, Islamic Azad University, Lahijan Branch, Islamic Azad University, Tehran, Islamic Azad University Central Tehran Branch, Universidade Lusófona do Porto, Lusíada University of Porto

Language: English

Topic: Numerical methods in engineering

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

OpenAlex ID: W4403190878

FWCI: 0.603

Cites: 36

Cited by: 4

Related to: 10