We introduce a differential system based on the coupling of the (Navier) Stokes equations and the Darcy equation for the modeling of the interaction between surface and subsurface flows. We formulate the problem as an interface problem and analyze the associated Steklov-Poincaré operator. We then propose a way of solving the coupled problem iteratively, based on a suitable splitting of the interface conditions, allowing the solution of two subproblems at each step.
Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations
QUARTERONI, ALFIO MARIA
2003-01-01
Abstract
We introduce a differential system based on the coupling of the (Navier) Stokes equations and the Darcy equation for the modeling of the interaction between surface and subsurface flows. We formulate the problem as an interface problem and analyze the associated Steklov-Poincaré operator. We then propose a way of solving the coupled problem iteratively, based on a suitable splitting of the interface conditions, allowing the solution of two subproblems at each step.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
