Numerical algorithms and architecture of HPC systems

Abstract: The influence of mathematics techniques to the progress in architecture and performance of computing systems is discussed. The properties of computational algorithms aimed for solving the problem of fault tolerance, which is topical for prospective exaflops and super-exaflops systems, are considered.Note: Research direction:Mathematical modelling in actual problems of science and technic

Projection-based guaranteed mesh generation algorithm

Abstract: Considered tetrahedral mesh generation algorithm. Principal difference from other algorithms consists in guaranteed filling of volume for a finite time. Considered main stages of algorithm, assessment of computational complexity is given.Note: Research direction:Mathematical modelling in actual problems of science and technic

Parallel ray tracing algorithm for radiation field analysis and pinhole imaging of radiative gas

Abstract: An original algorithm was developed for ray tracing across unstructured 3D grid, and grid-characteristic computation of radiative energy transfer using MPI parallel technique and grid decomposition. The developed algorithm provides accounting the anisotropy of the radiation field in complex multiscale 3D magneto hydrodynamic simulations. The algorithm is implemented as a C++ code. Accurate rational calculations are applied for the intersection of rays with grid elements. Tracing of different rays within a single MPI-process is carried out in parallel with the use of OpenMP threads. Acceleration and scalability of the implemented algorithms were investigated including a comparison with other solvers within MHD code. Proposed applications are considered.Note: Research direction:Programming, parallel computing, multimedi