Volume 4, Issue 3
Coupling of Viscous and Potential Flow Models with Free Surface for Near and Far Field Wave Propagat

Zichen Deng

Int. J. Numer. Anal. Mod. B, 4 (2013), pp. 256-282

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  • Abstract

A non-overlapping domain decomposition (DD) method is used to solve a heterogeneous flow model which combines viscous flow and potential flow. Finite element method (FEM) and boundary element method (BEM) approximate the solutions to Navier-Stokes equations in the viscous flow subdomain and to Laplace equation in the potential flow subdomain, respectively. At the interface, the matching conditions involve pressure and velocity, and Bernoulli's equation gives an ordinary differential equation (ODE) defined on the interface. Algebraic formulations of the iterative schemes to solve the coupled problem are developed, and both explicit and implicit schemes can be constructed following the strategy of the Dirichlet-Neumann (D-N) method. Numerical examples using the explicit scheme implementation are reported and compared against previous experimental and/or numerical results.

  • History

Published online: 2013-04

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