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

YI ZHANG, MALGORZATA PESZY ́NSKA, AND SOLOMON C. YIM

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

Published online: 2013-04

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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.
  • AMS Subject Headings

65N55 76B07 76D09 76B15 76D05

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COPYRIGHT: © Global Science Press

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@Article{IJNAMB-4-256, author = {YI ZHANG, MALGORZATA PESZY ́NSKA, AND SOLOMON C. YIM}, title = {Coupling of Viscous and Potential Flow Models with Free Surface for Near and Far Field Wave Propagat}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2013}, volume = {4}, number = {3}, pages = {256--282}, 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.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/257.html} }
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.
YI ZHANG, MALGORZATA PESZY ́NSKA, AND SOLOMON C. YIM. (2013). Coupling of Viscous and Potential Flow Models with Free Surface for Near and Far Field Wave Propagat. International Journal of Numerical Analysis Modeling Series B. 4 (3). 256-282. doi:
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