TY - JOUR
T1 - Coupling of Viscous and Potential Flow Models with Free Surface for Near and Far Field Wave Propagat
AU - YI ZHANG, MALGORZATA PESZY  ́NSKA, AND SOLOMON C. YIM
JO - International Journal of Numerical Analysis Modeling Series B
VL - 3
SP - 256
EP - 282
PY - 2013
DA - 2013/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/257.html
KW - free surface flows
KW - finite element method
KW - boundary element method
KW - heterogeneous domain decomposition
AB - 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.