Least-Squares/ Galerkin Split Finite Element Method | For Incompressible and Compressible Navier-Stokes Equations: A Novel Approach

Rajeev Kumar (u. a.)

ISBN 10: 3659508519 / ISBN 13: 9783659508516

Published by LAP LAMBERT Academic Publishing, 2015

Least-Squares/ Galerkin Split Finite Element Method | For Incompressible and Compressible Navier-Stokes Equations: A Novel Approach | Rajeev Kumar (u. a.) | Taschenbuch | 172 S. | Englisch | 2015 | LAP LAMBERT Academic Publishing | EAN 9783659508516 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Seller Inventory # 104623472

Synopsis:

The least-squares finite element method (LSFEM) has many attractive characteristics such as the lack of an inf-sup condition and the resulting symmetric positive system of algebraic equations unlike Galerkin finite element method (GFEM). However, the higher continuity requirements for second-order terms in the governing equations force the introduction of additional unknowns through the use of an equivalent first-order system of equations or the use of C¹ continuous basis functions, limiting the application of LSFEM to large-scale practical problems. A novel finite element method is proposed that employs a least-squares method for first-order derivatives and a Galerkin method for second order derivatives, thereby avoiding the need for additional unknowns required by a pure LSFEM approach. When the unsteady form of the governing equations is used, a streamline upwinding term is introduced naturally by the least-squares method. The method is stable for convection-dominated flows and allows for equal-order basis functions for both pressure and velocity. Various incompressible and compressible flow benchmark problems have been solved using low-order C⁰ continuous elements.

Bibliographic Details

Title: Least-Squares/ Galerkin Split Finite Element...
Publisher: LAP LAMBERT Academic Publishing
Publication Date: 2015
Binding: Taschenbuch
Condition: Neu