| Títol: | High-order implicit time integration for unsteady incompressible flows |
| Autor: | Villardi de Montlaur, Adeline de
Fernandez Mendez, Sonia
Huerta, Antonio |
| Altres autors/autores: | Universitat Politècnica de Catalunya. Escola d'Enginyeria de Telecomunicació i Aeroespacial de Castelldefels (EETAC); Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
| Matèries: | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica
Galerkin methods
Navier-Stokes equations
Differential algebraic equations
Incompressible Navier–Stokes
High-order time integrators
Runge–Kutta
Rosenbrock
Discontinuous Galerkin
Equacions |
| Tipus de document: | Article |
| Descripció: | The spatial discretization of unsteady incompressible Navier–Stokes equations is stated as a system of differential
algebraic equations, corresponding to the conservation of momentum equation plus the constraint due
to the incompressibility condition. Asymptotic stability of Runge–Kutta and Rosenbrock methods applied
to the solution of the resulting index-2 differential algebraic equations system is analyzed. A critical comparison
of Rosenbrock, semi-implicit, and fully implicit Runge–Kutta methods is performed in terms of
order of convergence and stability. Numerical examples, considering a discontinuous Galerkin formulation
with piecewise solenoidal approximation, demonstrate the applicability of the approaches and compare their
performance with classical methods for incompressible flows. |
| Altres identificadors i accés: | Montlaur, A.; Fernandez, S.; Huerta, A. High-order implicit time integration for unsteady incompressible flows. "International journal for numerical methods in fluids", 30 Novembre 2011.
0271-2091
http://hdl.handle.net/2117/14695
10.1002/fld.2703 |
| Disponible al dipòsit: | E-prints UPC
|
| Comparteix: |
|
Tots els ítems dipositats a UPCommons estan protegits per drets d'autor.
|
