An Improved Incompressible Smoothed Particle Hydrodynamics ...

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BIBLIOGRAPHY [96] B. D. Rogers and R. A. Dalrymple. SPH modeling of breaking waves. Proc. 29th Intl. Conference on Coastal Engineering. World Scientific Press: 415 - 427, 2004 [97] L. Rosenhead. The formation of vortices from a surface of discontinuity. Proc. R. Soc. Lond. A 134: 170 - 191, 1931. [98] C. Schick, Anisotropic smoothing kernels for particle methods in fluid flow, Master’s thesis, University of Kaiserslautern, 2000. [99] H. F. Schwaiger. An implicit corrected SPH formulation for thermal diffusion with linear free surface boundary conditions. International Journal for Numerical Methods in Engineering, 75: 647 - 671, 2008. [100] S. Shao and E. Lo. Incompressible SPH method for simulating Newto- nian and non-Newtonian flows with a free surface. Advances in Water Resources, 26: 787 - 800, 2003. [101] S. Shao and H. Gotoh. Simulating coupled motion of progressive wave and floating curtain wall by SPH-LES model. Coastal Engineering Journal, 46: 171 - 202, 2004. [102] P. K. Stansby, A. Chegini and T.C. D. Barnes. The initial stages of dam- break flow. Journal of Fluid Mechanics, 374: 407 - 424, 1998. [103] P. K. Stansby. Private communication. 2009. [104] D. Teleaga. A finite volume particle method for conservation laws, Ph.D. thesis, University of Kaiserslautern, 2005. 203
BIBLIOGRAPHY [105] D. Teleaga and J. Struckmeier. A finite-volume particle method for conservation laws on moving domains. International Journal of Numerical Method in Fluids, 58: 945 - 967, 2008. [106] S. Tiwari and J. Kuhnert. Finite Pointset Method Based on the Pro- jection Method for Simulations of the Incompressible Navier-Stokes Equations, Lecture Notes in Computational Science and Engineering 26: 373 - 388, 2003. [107] S. Tiwari and J. Kuhnert. Modeling of two-phase flows with surface tension by finite pointset method (FPM), Journal of Computational and Applied Mathematics 203-2: 376 - 386, 2007. [108] O. Ubbink. Numerical predictions of two fluid systems with sharp interfaces. PhD Thesis. Imperial College of Science, Technology and Medicine, 1997. [109] R. Vacondio and P. Mignosa. Incompressible Finite Pointset method for free surface flow. ERCOFTAC SIG SPHERIC IV th International work- shop, Nantes, France: 201 - 208, 2009. [110] R. Vacondio, B. D. Rogers and P. K. Stansby. Smoothed Particle Hydro- dynamics: approximate zero-consistent 2-D boundary conditions and still shallow water tests. Submitted to Computers and Fluids, 2009. [111] H. A. Van Der Vorst. Bi-CGSTAB: A fast and smoothly converging vari- ant of Bi-CG for the solution of non-symmetric linear systems. S. J. Sci. Stat. Comput., 13: 631 - 644, 1992. [112] L. Verlet. Computer experiments on classical fluids. Physical Review 159 (1) : 98 - 103, 1967. 204
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An Improved Incompressible Smoothed
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CONTENTS 2.1.2 SPH operators . . .
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CONTENTS 5 Validation by Benchmark
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List of Figures 1.1 Density and vel
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LIST OF FIGURES 4.8 The geometry an
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LIST OF FIGURES 6.6 Geometry of dam
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List of Tables 4.1 Computing costs
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Abstract attempts to improve the ac
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Declaration No portion of the work
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Copyright 4. Further information on
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Acknowledgments Armando and other f
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Chapter 1. Introduction and Thesis
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Chapter 2 The SPH Methodology, Exis
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Chapter 2. The SPH Methodology, Exi
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Chapter 3 The Incompressible SPH Co
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Chapter 3. The Incompressible SPH C
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3.2.3 Velocity at time n+1 u n+1 Th
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3.5 Wall boundary tests Chapter 3.
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P 0 -0.1 -0.2 -0.3 -0.4 -0.5 Chapte
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3.7 Code structure Chapter 3. The I
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Chapter 4. ISPH Method Comparisons
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Chapter 5 Validation by Benchmark T
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Chapter 5. Validation by Benchmark
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u/U 1 0.8 0.6 0.4 0.2 0 -0.2 0 0.2
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P/(ρU 2 ) 2.5 2 1.5 1 0.5 0 Chapte
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P/(ρU 2 ) 1 0.8 0.6 0.4 0.2 0 -0.2
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Y/d Y/d Y/d 4 2 0 4 2 0 4 2 0 Chapt
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y/d 6 5 4 3 2 1 0 Chapter 5. Valida
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Cd Cd 4.7 4.6 4.5 4.4 4.3 Chapter 5
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y/d y/d 5 4 3 2 1 Chapter 5. Valida
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C d max / C d min 2.85 2.8 2.75 2.7
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5.3 Partial conclusion Chapter 5. V
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Chapter 6. ISPH_DFS Method in Free-
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Relative Error 6e-05 5e-05 4e-05 3e
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Y/a Y/a Y/a 3 2 1 Chapter 6. ISPH_D
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Page 203: BIBLIOGRAPHY [88] R. K. Price, The
Page 207: BIBLIOGRAPHY [121] SPHysics, open-s
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