SPH Modeling of One-Dimensional Nonrectangular and Nonprismatic Channel Flows with Open Boundaries

AbstractIn this study, the authors solve the shallow water equations (SWE) with smoothed particle hydrodynamics (SPH) for one-dimensional (1D) nonrectangular and nonprismatic channel flows with open boundaries. To date, 1D SPH-SWE has been only developed to simulate rectangular prismatic channel flows with closed and open boundaries. However, for practical hydraulic problems, channel cross sections are not always rectangular and prismatic. A general approach is proposed in this study to extend the engineering application range of 1D SPH-SWE to nonrectangular and nonprismatic channels with open boundaries by introducing the wetted cross-sectional area and the water discharge in SWE and combining the method of specified time interval with the inflow/outflow algorithm. Three benchmark study cases, aiming at testing various steady flow regimes in nonrectangular and nonprismatic channels, are adopted to validate the newly proposed approach. Through the investigation of the convergence analysis and numerical ac...

[1]  J. Anderson,et al.  Computational fluid dynamics : the basics with applications , 1995 .

[2]  Hong-Ming Kao,et al.  Numerical modeling of dambreak-induced flood and inundation using smoothed particle hydrodynamics , 2012 .

[3]  Azzeddine Soulaïmani,et al.  A stabilized SPH method for inviscid shallow water flows , 2005 .

[4]  L. Hernquist,et al.  TREESPH: A Unification of SPH with the Hierarchical Tree Method , 1989 .

[5]  B. Rogers,et al.  State-of-the-art of classical SPH for free-surface flows , 2010 .

[6]  Benedict D. Rogers,et al.  Smoothed Particle Hydrodynamics: Approximate zero‐consistent 2‐D boundary conditions and still shallow‐water tests , 2012 .

[7]  Abdelkawi. Khalifa.  THEORETICAL AND EXPERIMENTAL STUDY OF THE RADIAL HYDRAULIC JUMP. , 1981 .

[8]  B. Rogers,et al.  SPH Modeling of Shallow Flow with Open Boundaries for Practical Flood Simulation , 2012 .

[9]  Javier Bonet,et al.  A corrected smooth particle hydrodynamics formulation of the shallow-water equations , 2005 .

[10]  Hung Tao Shen,et al.  Lagrangian Simulation of One-Dimensional Dam-Break Flow , 1999 .

[11]  Bertrand Alessandrini,et al.  SPH modeling of shallow-water coastal flows , 2010 .

[12]  J. Monaghan.  Smoothed particle hydrodynamics , 2005 .

[13]  Guirong Liu,et al.  Smoothed Particle Hydrodynamics: A Meshfree Particle Method , 2003 .

[14]  M. Hanif Chaudhry,et al.  Open-Channel Flow , 2007 .

[15]  Brett F. Sanders M. Iahr.  High-resolution and non-oscillatory solution of the St. Venant equations in non-rectangular and non-prismatic channels , 2001 .

[16]  L. Libersky,et al.  Smoothed Particle Hydrodynamics: Some recent improvements and applications , 1996 .

[17]  T. Chang,et al.  Comparison of a new kernel method and a sampling volume method for estimating indoor particulate matter concentration with Lagrangian modeling , 2012 .

[18]  T. Chang,et al.  Lagrangian modeling of particle concentration distribution in indoor environment with different kernel functions and particle search algorithms , 2012 .

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

[20]  T. Sturm,et al.  Open Channel Hydraulics , 2001 .

[21]  Benedict D. Rogers,et al.  Accurate particle splitting for smoothed particle hydrodynamics in shallow water with shock capturing , 2012 .

[22]  J. Cunge,et al.  Practical aspects of computational river hydraulics , 1980 .

[23]  Nancy Nichols,et al.  Analytic Benchmark Solutions for Open-Channel Flows , 1997 .

[24]  Hong-Ming Kao,et al.  Numerical simulation of shallow-water dam break flows in open channels using smoothed particle hydrodynamics , 2011 .

[25]  Benedict D. Rogers,et al.  A correction for balancing discontinuous bed slopes in two‐dimensional smoothed particle hydrodynamics shallow water modeling , 2013 .