| Títol: | High-Order discontinuous Galerkin methods for incompressible flows |
| Autor: | Villardi de Montlaur, Adeline de
Fernandez Mendez, Sonia
Huerta, Antonio |
| Altres autors/autores: | Universitat Politècnica de Catalunya. Escola Politècnica Superior de Castelldefels (EPSC); Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
| Matèries: | Àrees temàtiques de la UPC::Matemàtiques i estadística
Runge-Kutta formulas
Viscous flow
Navier-Stokes equations
Finite element method
Elements finits, Mètode dels
Equacions |
| Tipus de document: | Conference report |
| Descripció: | The spatial discretization of the unsteady incompressible Navier-Stokes equations
is stated as a system of Differential Algebraic Equations (DAEs), corresponding to
the conservation of momentum equation plus the constraint due to the incompressibility
condition. Runge-Kutta methods applied to the solution of the resulting index-2 DAE
system are analyzed, allowing a critical comparison in terms of accuracy of semi-implicit
and fully implicit Runge-Kutta methods. Numerical examples, considering a discontinuous
Galerkin Interior Penalty Method with piecewise solenoidal approximations, demonstrate
the applicability of the approach, and compare its performance with classical methods for
incompressible flows. |
| Altres identificadors i accés: | Montlaur, A.; Fernandez, S.; Huerta, A. High-Order discontinuous Galerkin methods for incompressible flows. A: European Conference on Computational Fluid Dynamics. "Fifth European Conference on Computational Fluid Dynamics". Lisboa: 2010, p. 201.
978-989-96778-0-7
http://hdl.handle.net/2117/9192 |
| Disponible al dipòsit: | E-prints UPC
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