An implicit meshless method for application in computational fluid dynamics |
| |
Authors: | D J Kennett S Timme J Angulo K J Badcock |
| |
Institution: | School of Engineering, University of Liverpool, , Liverpool, England L69 3BX, United Kingdom |
| |
Abstract: | An implicit meshless scheme is developed for solving the Euler equations, as well as the laminar and Reynolds‐averaged Navier–Stokes equations. Spatial derivatives are approximated using a least squares method on clouds of points. The system of equations is linearised, and solved implicitly using approximate, analytical Jacobian matrices and a preconditioned Krylov subspace iterative method. The details of the spatial discretisation, linear solver and construction of the Jacobian matrix are discussed; and results that demonstrate the performance of the scheme are presented for steady and unsteady two dimensional fluid flows. Copyright © 2012 John Wiley & Sons, Ltd. |
| |
Keywords: | meshless computational fluid dynamics implicit method Euler equations Navier– Stokes equations Reynolds‐averaged Navier– Stokes equations |
|
|