Lagrangian coupling two-phase flow model to simulate current-induced scour beneath marine pipelines

This paper presents a Lagrangian coupling two-phase flow model for simulating scour processes beneath a marine pipeline with respect to the sediment and fluid phase interactions. Smoothed Particle Hydrodynamics (SPH) capability is employed to simulate sediment and fluid particles movement, respectively as the Newtonian and non-Newtonian fluids in the framework of two-phase flow modeling. The Sub-Particle Scale (SPS) model also is closured to the fluid phase solver to account for the turbulence effects. The soft contact approach is incorporated in the sediment phase to simulate the interparticle collisions during the local scouring. Following to the Lagrangian coupling model development, the current-induced scour beneath a pipe at tunnel erosion and early stages of lee-wake erosion were explored and then compared with the experiments. The obtained results illustrated the efficiency of the proposed two-phase flow model to reproduce the scour profiles evolution up to the early stages of lee-wake erosion. Within the presented model, the parameters such as pressure field and non-dimensional sediment transport rate beneath the pipe were also estimated.

[1]  S P Kjeldsen,et al.  LOCAL SCOUR NEAR OFFSHORE PIPELINES , 1973 .

[2]  Y Mao,et al.  THE INTERACTION BETWEEN A PIPELINE AND AN ERODIBLE BED , 1987 .

[3]  S. Shao,et al.  INCOMPRESSIBLE SPH METHOD FOR SIMULATING NEWTONIAN AND NON-NEWTONIAN FLOWS WITH A FREE SURFACE , 2003 .

[4]  M. H. Kazeminezhad,et al.  Euler–Euler two-phase flow simulation of tunnel erosion beneath marine pipelines , 2011 .

[5]  Terry R. Healy,et al.  Completeness, conservation and error in SPH for fluids , 2008 .

[6]  Hitoshi Gotoh,et al.  Enhancement of stability and accuracy of the moving particle semi-implicit method , 2011, J. Comput. Phys..

[7]  J. Monaghan,et al.  Solitary Waves on a Cretan Beach , 1999 .

[8]  L. Lucy A numerical approach to the testing of the fission hypothesis. , 1977 .

[9]  H. Barnes,et al.  An introduction to rheology , 1989 .

[10]  Shan Zou Coastal sediment transport simulation by smoothed particle hydrodynamics , 2007 .

[11]  Abbas Yeganeh-Bakhtiary,et al.  A three-dimensional distinct element model for bed-load transport , 2009 .

[12]  Stefano Sibilla,et al.  A SPH-based method to simulate local scouring , 2008 .

[13]  Dongfang Liang,et al.  Numerical modeling of flow and scour below a pipeline in currents: Part II. Scour simulation , 2005 .

[14]  Hitoshi Gotoh,et al.  Key issues in the particle method for computation of wave breaking , 2006 .

[15]  M. H. Kazeminezhad,et al.  Two-Phase Simulation of Wave-Induced Tunnel Scour beneath Marine Pipelines , 2012 .

[16]  Fangjun Li,et al.  Numerical Model for Local Scour under Offshore Pipelines , 1999 .

[17]  Hitoshi Gotoh,et al.  ENHANCED PREDICTIONS OF WAVE IMPACT PRESSURE BY IMPROVED INCOMPRESSIBLE SPH METHODS , 2009 .

[18]  W Leeuwestein,et al.  THE NATURAL SELF-BURIAL OF SUBMARINE PIPELINES , 1985 .

[19]  M. Salih Kirkgöz,et al.  Interaction of a current with a circular cylinder near a rigid bed , 2008 .

[20]  Dominique Laurence,et al.  Incompressible separated flows simulations with the smoothed particle hydrodynamics gridless method , 2005 .

[21]  Abbas Yeganeh-Bakhtiary,et al.  Euler–Lagrange Two-Phase Model for Simulating Live-Bed Scour Beneath Marine Pipelines , 2013 .

[22]  R. J. Lucassen Scour underneath submarine pipelines , 1984 .

[23]  H. J. S. Fernando,et al.  Numerical simulation of scour around pipelines using an Euler–Euler coupled two-phase model , 2005 .

[24]  Laurent O. Amoudry,et al.  Two-dimensional, two-phase granular sediment transport model with applications to scouring downstream of an apron , 2009 .

[25]  J. Bonet,et al.  Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations , 1999 .

[26]  B. Sumer,et al.  The mechanics of scour in the marine environment , 2002 .

[27]  Ha H. Bui,et al.  Numerical simulation of soil-water interaction using smoothed particle hydrodynamics (SPH) method , 2007 .

[28]  J. Monaghan Particle methods for hydrodynamics , 1985 .

[29]  M. Prakash,et al.  Simulation of high Reynolds number flow over a backward facing step using SPH , 2006 .

[30]  Hitoshi Gotoh,et al.  SPH-LES Model for Numerical Investigation of Wave Interaction with Partially Immersed Breakwater , 2004 .

[31]  B. Brørs Numerical Modeling of Flow and Scour at Pipelines , 1999 .

[32]  D. Liang,et al.  Numerical modeling of flow and scour below a pipeline in currents , 2005 .

[33]  S. Shao,et al.  Corrected Incompressible SPH method for accurate water-surface tracking in breaking waves , 2008 .

[34]  Subhasish Dey,et al.  Clear-Water Scour below Underwater Pipelines under Steady Flow , 2008 .

[35]  Abbas Khayyer,et al.  Modified Moving Particle Semi-implicit methods for the prediction of 2D wave impact pressure , 2009 .

[36]  J. Morris,et al.  Modeling Low Reynolds Number Incompressible Flows Using SPH , 1997 .

[37]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[38]  Abbas Khayyer,et al.  A higher order Laplacian model for enhancement and stabilization of pressure calculation by the MPS method , 2010 .

[39]  A. Colagrossi,et al.  Numerical simulation of interfacial flows by smoothed particle hydrodynamics , 2003 .

[40]  Hitoshi Gotoh,et al.  Applicability of Euler-Lagrange coupling multiphase-flow model to bed-load transport under high bottom shear , 2000 .