## Advances in High Performance Computing and Computational Sciences: The 1st Kazakh-German Advanced Research Workshop, Almaty, Kazakhstan, September 25 to October 1, 2005Yurii I. Shokin, Nargozy Danaev, Murat Orunkhanov, Nina Shokina This volume contains contributions to the First Kazakh-German Advanced Research Workshop on Computational Science and High Performance Computing presented in September 2005 at Almaty, Kazakhstan. The workshop was organized by the High Performance Computing Center Stuttgart (Stuttgart, Germany), al-Farabi Kazakh National University (Almaty, Kazakhstan) and the Institute of Computational Technologies SB RAS (Novosibirsk, Russia) in the framework of activities of the German-Russian Center for Computational Technologies and High Performance |

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### Contents

1 | |

The integral equations method in problems of electrical sounding | 14 |

The chain of abstraction in High Performance Computing and simulation | 23 |

unsteady analysis and automatic design | 33 |

On parallelization of one 3D fluid flow simulation code | 52 |

Development of algorithm for visualization of results in scientific research | 63 |

A general object oriented framework for discretizing nonlinear evolution equations | 69 |

The Cauchy problem for Laplace equation on the plane | 88 |

Simulation of flame propagation in closed vessel with obstacles | 115 |

Detailed numerical simulation of the autoignition of liquid fuel droplets | 126 |

Numerical investigation of a supersonic flow with jet injection | 139 |

Objectoriented framework for parallel smoothed particle hydrodynamics simulations | 151 |

Numerical calculation of industrial problems | 168 |

Largeeddy simulations for tundish and airfoil flows | 185 |

Solution of one mixed problem for equation of relaxational filtration by Monte Carlo methods | 205 |

Numerical prediction of vortex instabilities in turbomachinery | 211 |

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additional airfoil al-Farabi al-Farabi Kazakh National algorithm Almaty applied approach approximation bandwidth barycenter blade boundary conditions boundary layer calculation catalyst cavitation coefficient combustion components computational domain defined density differential equations distribution draft tube droplet experimental data finite difference flame flow-field fluid flux function space gas phase geometry grid halo cells heat High Performance Computing Hydraulic Machinery ignition delay implementation initial integration interface iteration Kazakh Kazakh National University Kazakhstan Large Eddy Simulation Mach number matrix memory mesh methanol Navier-Stokes equations node Novosibirsk object-oriented OpenMP operator optimization parallel I/O parameters partial differential equations particle pass physical pressure problem Proc processors profiles reactor Reynolds number runner Russian scheme sequential solution solved SPH-particles step Stuttgart subdomain supercomputing temperature trailing edge triangle tundish turbine University of Stuttgart University of Tubingen unsteady values vector velocity VLES vortex rope vorticity wall