On the coupling of incompressible viscous flows and incompressible potential flows via domain decomposition

Dinh, Quang; Périaux, Jacques; Terrasson, Guillaume; Glowinski, Roland

doi:10.1007/bfb0041795

Cited by 9 publications

(12 citation statements)

References 3 publications

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“…The coupled problem of incompressible viscous and inviscid equations has been considered by Dinh et al [5] and Xu et al [6 -8]. One of main goals of these investigations had been to find the correct conditions on the interface separating the viscous and inviscid sub-domain.…”

Section: Introductionmentioning

confidence: 99%

Analysis of iterative methods for the viscous/inviscid coupled problem via a spectral element approximation

Lin

2000

Int. J. Numer. Meth. Fluids

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Section: Introductionmentioning

confidence: 99%

Analysis of iterative methods for the viscous/inviscid coupled problem via a spectral element approximation

Lin

2000

Int. J. Numer. Meth. Fluids

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“…Thus far, there has been many researches in coupling viscous and inviscid flow [4] [5] [6], and the viscous/inviscid method have been widely applied for many hydrodynamic problems. This method always accomplished by decomposing the flow domain and iterating on the interface of viscous and inviscid domain, however these methods are not able to do the partial viscous correction, that the inviscid field has obtained already and need to correct the areas with significant viscous effects.…”

Section: Introductionmentioning

confidence: 99%

Velocity Decomposition Method for Ship Advancing in Calm Water Simulation

Zhao¹,

Zhu²,

Guo-ping³

2017

WJET

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In this study, a viscous-inviscid method based on velocity decomposition is presented. The velocity of the flow field is decomposed into viscous velocity and inviscid velocity, the inviscid velocity is applied for the whole domain, which includes the damping area, and the remaining viscous velocity is just acting on a small domain around the ship hull according to the boundary layer theory. The remaining viscous velocity is computed by a modified N-S equation which coupled the inviscid part, after the inviscid velocity is obtained by solving Euler equation. The simulation of Wigley hull advancing in calm water is accomplished with present method also the decomposed velocity has been studied. The result shows the present method is robust and can be a practical method for partial viscous correction.

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“…Because of the spatial decomposition the flow domain, the modeling problem can be cast into the framework of (heterogeneous) domain decomposition (DD) methods. Early works on numerical applications of the DD methods include Bjørstad and Widlund [20], Cambier et al [21], Dinh et al [22], Dryja [23] and Glowinski et al [24], among others. Recent overviews on this topic include the reviews by Xu and Zou [25], Xu [26], the books by Mathew [27], Quarteroni and Valli [15], Toselli [28] and Wohlmuth [29].…”

Section: Introductionmentioning

confidence: 99%

A nonoverlapping heterogeneous domain decomposition method for three-dimensional gravity wave impact problems

Zhang

Yim

2015

Computers & Fluids

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A 3D heterogeneous flow model which combines incompressible viscous flow and potential flow both with freesurface boundaries is developed and solved numerically, using finite element method and boundary element method, respectively. The coupled model is solved based on a nonoverlapping domain decomposition method, which reduces the problem to the coupling interface. At the interface, the problem is equivalent to Bernoulli's equation consisting of mappings from potential/velocity to velocity/pressure. These mappings enable us to design the scheme following the Dirichlet-Neumann method for nonoverlapping domain decomposition, and lead to a staggered scheme. We also discuss data transfer as well as free surface reconstruction at the interface. Errors introduced by the surface reconstruction technique are examined and discussed in detail. The errors from the first-order staggered scheme is also studied. A comparison of numerical prediction with experimental data that the proposed method performs efficiently and accurately for wave impact problems.

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On the coupling of incompressible viscous flows and incompressible potential flows via domain decomposition

Cited by 9 publications

References 3 publications

Analysis of iterative methods for the viscous/inviscid coupled problem via a spectral element approximation

Analysis of iterative methods for the viscous/inviscid coupled problem via a spectral element approximation

Velocity Decomposition Method for Ship Advancing in Calm Water Simulation

A nonoverlapping heterogeneous domain decomposition method for three-dimensional gravity wave impact problems

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