Over the last two decades, adaptive methods have stirred much interest in the engineering community. For compressible flow applications, such methods are crucial because of the pressing need for accurate computation of shock waves. Adaptive methods offer a means of tackling complex flow problems at a reasonable cost and of controlling the accuracy of numerical simulations. Although spectacular results have been achieved for compressible flow problems, less has been accomplished for unsteady viscous incompressible flows. For unsteady problems, we need a fast remeshing algorithm. Mapping of variables from one mesh to another should be done in an efficient way, otherwise the vorticity generated during the simulation will be dissipated and the solution quality will deteriorate. This book covers all the important details regarding the application of the finite element method to incompressible flows. It also addresses the theoretical background and the detailed development of appropriate numerical methods applied to the solution of a wide range of incompressible flows, beginning with extensive coverage of the advection-diffusion equation. The book describes a three-step finite element method and its applications to unsteady incompressible fluid flows. The stability analysis of the one-dimensional purely convection equation shows that this method has third-order accuracy and an extended numerical stability domain in comparison with the Lax-Wendroff finite element method. The method is cost effective for incompressible flows, because it permits less frequent updates of the pressure field with good accuracy. In contrast with the Taylor-Galerkin method, the present three-step finite element method does not contain any new higher-order derivatives, and is suitable for solving non-linear multi-dimensional problems and flows with complicated outlet boundary conditions. The three-step finite element method has been used to simulate unsteady incompressible flows, such as the vortex pairing in mixing layer. The properties of the flow fields are displayed by the marker and cell technique.
AUTOR: Ahmedi, Shahid
EDITORA: Auris Reference
DISPONIBILIDADE DO PRODUTO: Sob Encomenda - Até 40 dias ( Importação )