Abstract
The architecture of a digital computing system determines the technical foundation of a unified mathematical language for exact arithmetic-logical description of phenomena and laws of continuum mechanics for applications in fluid mechanics and theoretical physics. The deep parallelization of the computing processes results in functional programming at a new technological level, providing traceability of the computing processes with automatic application of multiscale hybrid circuits and adaptive mathematical models for the true reproduction of the fundamental laws of physics and continuum mechanics.
Highlights
The history of the Computational Fluid Dynamics (CFD) evolved in the vision rapid growth of computing resources availability and periodic assessments of how much tera- or exa-flops might be sufficient to solve all the problems of this science using pretty archaic mathematical methods
Attempts of Russian scientists [1, 2] to go back to the formulation of the computational problem based upon the synthesis of initial physical principles and to approach computational experiments projecting from new positions and to go towards direct simulation of flows looked extremely dissonant
EPJ Web of Conferences computational models of tensor mathematics with independent status control of each computational cell-liquid particle, for which the computational algorithms as well as functional logic of physical phenomena and processes synthesis is being provided by arithmetic logic cores operating in parallel, that exactly matches the trends in the development of computer technology at the requests for the graphic visualization of three-dimensional spatial phenomena and dynamic processes with them
Summary
The history of the Computational Fluid Dynamics (CFD) evolved in the vision rapid growth of computing resources availability and periodic assessments of how much tera- or exa-flops might be sufficient to solve all the problems of this science using pretty archaic mathematical methods. EPJ Web of Conferences computational models of tensor mathematics with independent status control of each computational cell-liquid particle, for which the computational algorithms as well as functional logic of physical phenomena and processes synthesis is being provided by arithmetic logic cores operating in parallel, that exactly matches the trends in the development of computer technology at the requests for the graphic visualization of three-dimensional spatial phenomena and dynamic processes with them. The consequent spatial integration of the first order involves grid and corpuscular approaches, formalized by means of the inertial mass tensor: m> = mik [kg] – which is used as a numeric object to fix pre-history, i.e., inertia in motion and local deformation of the simulated liquid particles that formed an algorithmic sequence of balanced prediction and correction of motion by a curved path for the fluid particles from the dynamically changing internal energy. As the main loop in the computer experiment, the sequence of algorithms intended for matching kinematic and rheological characteristics of the physical field in explicit numerical schemes, reducible to the mode of sequential setting of non-stationary computational processes arising from mathematical models for viscous, elastic and compressible fluids is accepted
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