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A CHARACTERISTIC-GALERKIN METHOD FOR THE NAVIER-STOKES EQUATIONS IN THIN DOMAINS WITH FREE BOUNDARIES
Abstract

GIOVANNI M. CORNETTI

The 3D Navier-Stokes equations is solved using the Characteristic-Galerkin method extended to free boundary problems. A temporal discretization procedure is proposed for the case where a preferential direction to move mesh point exists, as in thin domains. Using a single layer of finite elements, the numerical results cover the so-called shallow water 2D approximation, showing the same wave propagation speed.

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