Modeling and Simulation of Low Speed Wind over the Great Sphinx

In this paper, the low speed wind over the Great Sphinx is simulated in order to investigate the effects of the wind flow structure on the surface of the statue. The three-dimensional incompressible Navier-Stokes equations are solved based on Chorin-type projection method and using finite difference approximations. The computational mesh of such large scale simulation problems contains several millions of points, therefore the MPI-based parallel solution of Navier-Stokes equations is addressed on distributed-memory parallel architecture. The distributed solution methodology of Navier-Stokes equations is optimized to get the best accuracy and performance. Then, this optimized methodology is used to simulate the low speed northwest wind over the Great Sphinx at Reynolds number of 1000. The wind flow structure over the statue is visualized and intensively studied.

[1]  P. Gaskell,et al.  Curvature‐compensated convective transport: SMART, A new boundedness‐ preserving transport algorithm , 1988 .

[2]  K. Liew,et al.  Parallel-multigrid computation of unsteady incompressible viscous flows using a matrix-free implicit method and high-resolution characteristics-based scheme , 2005 .

[3]  Marc Garbey,et al.  A parallel solver for unsteady incompressible 3D Navier-Stokes equations , 2001, Parallel Comput..

[4]  George Bergeles,et al.  DEVELOPMENT AND ASSESSMENT OF A VARIABLE-ORDER NON-OSCILLATORY SCHEME FOR CONVECTION TERM DISCRETIZATION , 1998 .

[5]  F. Harlow,et al.  Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , 1965 .

[6]  Ernst Hairer,et al.  Solving Ordinary Differential Equations I: Nonstiff Problems , 2009 .

[7]  I. Graham,et al.  A parallel solver for PDE systems and application to the incompressible Navier-Stokes equations , 2004 .

[8]  Henk A. van der Vorst,et al.  Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems , 1992, SIAM J. Sci. Comput..

[9]  Michael Griebel,et al.  Numerical Simulation in Fluid Dynamics: A Practical Introduction , 1997 .

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

[11]  J. Zhu,et al.  On the higher-order bounded discretization schemes for finite volume computations of incompressible flows , 1992 .

[12]  J. Ortega,et al.  A multi-color SOR method for parallel computation , 1982, ICPP.

[13]  Fue-Sang Lien,et al.  A Cartesian Grid Method with Transient Anisotropic Adaptation , 2002 .

[14]  Alberto Ferreira de Souza,et al.  Finite difference simulations of the Navier-Stokes equations using parallel distributed computing , 2003, Proceedings. 15th Symposium on Computer Architecture and High Performance Computing.

[15]  B. P. Leonard,et al.  A stable and accurate convective modelling procedure based on quadratic upstream interpolation , 1990 .