Abstract
A meshless local method of approximated particular solutions (LMAPS) is used to analyze incompressible fluid flow in a two dimensionalcavity. The method solves the incompressible Navier-Stokes equations in terms of theprimitive variables using the fractional step scheme. The basic equations are derived via interpolation using integrated multiquadrics radial basis functions. Lid-driven cavity benchmark case for various Reynolds numbers is presented in the article. The procedure produces stable solutions with results comparable to those in literature.
Highlights
The isothermal incompressible viscous flow is used to describe flows taking advantage of simplified flow equations that describe fluid motion, which is known as the incompressible Navier-Stokes equations
There are numerous approaches developed to solve the incompressible Navier-Stokes equations; the algorithm used in this article represents the Chorin’s projection method that belongs to the class of the decoupled methods which are more commonly used in computational fluid dynamics (CFD)
The fractional step algorithm is chosen to approximate the solutions of the incompressible Navier-Stokes equations in conjunction with the localized method of approximated particular solutions (LMAPS) that represents meshless collocation method [2]
Summary
The isothermal incompressible viscous flow is used to describe flows taking advantage of simplified flow equations that describe fluid motion, which is known as the incompressible Navier-Stokes equations. There are numerous approaches developed to solve the incompressible Navier-Stokes equations; the algorithm used in this article represents the Chorin’s projection method (fractional step) that belongs to the class of the decoupled methods which are more commonly used in computational fluid dynamics (CFD). Other way to classify the algorithms is to determine the version of the underlying governing equations, whether they are expressed using the primitive variables, velocity component and pressure, or not [1]. The mentioned fractional step method uses primitive variable formulation of the Navier-Stokes equations. The fractional step algorithm is chosen to approximate the solutions of the incompressible Navier-Stokes equations in conjunction with the localized method of approximated particular solutions (LMAPS) that represents meshless collocation method [2]. The LMAPS used in this study represents a stable, accurate tool for simulating the two-dimensional incompressible viscous flow field with the projection method. Numerical experiment of the two-dimensional lid-driven cavity flow problem is presented in the article with the comparison against literature data [14], which verifies the performance of the LMAPS
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Communications - Scientific letters of the University of Zilina
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
