Potential Application of Mesh-Free SPH Method in Turbulent River Flows

A comprehensive review has been completed on the simulation of turbulent flow over rough beds using mesh-free particle models. Based on the outcomes of this review, an improved Smoothed Particle Hydrodynamics (SPH) method has been developed for open channel flows over a rough bed, in which a mixing length model is used for modeling the 2D turbulence and a drag force equation is proposed for treating the boundary shear. The proposed model was applied to simulate a depth-limited open channel flow over a rough bed surface. The results of the velocity profile and shear stress distribution show a good agreement with the experimental data and existing analytical solutions. This work reveals that in order to correctly model turbulent open channel flow over a rough bed, the treatment of both flow turbulence and bed roughness effect is equally important.

[1]  Peter N. Joubert,et al.  Rough wall turbulent boundary layers , 1969, Journal of Fluid Mechanics.

[2]  J. Nikuradse Laws of Flow in Rough Pipes , 1950 .

[3]  A. Nicholas,et al.  Numerical simulation of three-dimensional flow hydraulics in a braided channel , 1999 .

[4]  P. Krogstad,et al.  Modification of the van Driest damping function to include the effects of surface roughness , 1991 .

[5]  Yee-Chung Jin,et al.  A mesh-free method boundary condition technique in open channel flow simulation , 2013 .

[6]  F. Clauser Turbulent Boundary Layers in Adverse Pressure Gradients , 1954 .

[7]  J. Monaghan On the problem of penetration in particle methods , 1989 .

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

[9]  W. Rodi,et al.  Open‐channel Flow Measurements with a Laser Doppler Anemometer , 1986 .

[10]  Y. Miyake,et al.  A DNS of a Turbulent Flow in a Rough-Wall Channel Using Roughness Elements Model , 2000 .

[11]  Yee-Chung Jin,et al.  MPS-Based Mesh-Free Particle Method for Modeling Open-Channel Flows , 2011 .

[12]  Chung-Chieh Hsu,et al.  FLOW AT 90° EQUAL-WIDTH OPEN-CHANNEL JUNCTION , 1998 .

[13]  J. Smith,et al.  Velocity distribution and bed roughness in high‐gradient streams , 1991 .

[14]  Damien Violeau,et al.  TWO ATTEMPTS OF TURBULENCE MODELLING IN SMOOTHED PARTICLE HYDRODYNAMICS , 2002 .

[15]  P S Granville Mixing-Length Formulations for Turbulent Boundary Layers Over Arbitrarily Rough Surfaces , 1985 .

[16]  Hitoshi Gotoh,et al.  Sub-particle-scale turbulence model for the MPS method , 2001 .

[17]  B. K. Hodge,et al.  Prediction of Turbulent Rough-Wall Skin Friction Using a Discrete Element Approach , 1985 .

[18]  Damien Violeau,et al.  Numerical modelling of complex turbulent free‐surface flows with the SPH method: an overview , 2007 .

[19]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[20]  P. Naden,et al.  Flow modelling in gravel‐bed rivers: rethinking the bottom boundary condition , 2011 .

[21]  Yee-Chung Jin,et al.  Flow over sills by the MPS mesh-free particle method , 2011 .

[22]  Salvatore Marrone,et al.  Simulating 2D open-channel flows through an SPH model , 2012 .

[23]  Stefano Sibilla,et al.  3D SPH modelling of hydraulic jump in a very large channel , 2013 .

[24]  J. Monaghan,et al.  A refined particle method for astrophysical problems , 1985 .

[25]  J. C. Rotta,et al.  Turbulent boundary layers in incompressible flow , 1962 .

[26]  R. Pletcher,et al.  Prediction of Rough-Wall Skin Friction and Heat Transfer , 1982 .

[27]  C. Zeng,et al.  Modeling flows over gravel beds by a drag force method and a modified S–A turbulence closure , 2012 .

[28]  Andrew Nichols Free surface dynamics in shallow turbulent flows , 2013 .

[29]  Ming-Jyh Chern,et al.  Effect of Corrugated Bed on Hydraulic Jump Characteristic Using SPH Method , 2013 .

[30]  B. Statzner,et al.  Aquatic interfaces: a hydrodynamic and ecological perspective , 2014 .

[31]  V. C. Patel,et al.  Prediction of turbulent flow over rough surfaces using a force field in large eddy simulation , 2003 .

[32]  E. R. V. Driest On Turbulent Flow Near a Wall , 1956 .

[33]  Luis Garrote,et al.  Smoothed particle hydrodynamics model applied to hydraulic structures: a hydraulic jump test case , 2010 .