Abstract
The paper deals with the computer implementation of direct computational experiments in fluid mechanics, constructed on the basis of the approach developed by the authors. The proposed approach allows the use of explicit numerical scheme, which is an important condition for increasing the effciency of the algorithms developed by numerical procedures with natural parallelism. The paper examines the main objects and operations that let you manage computational experiments and monitor the status of the computation process. Special attention is given to a) realization of tensor representations of numerical schemes for direct simulation; b) realization of representation of large particles of a continuous medium motion in two coordinate systems (global and mobile); c) computing operations in the projections of coordinate systems, direct and inverse transformation in these systems. Particular attention is paid to the use of hardware and software of modern computer systems.
Highlights
The problems of the Computational Fluid Dynamics (CFD) are among the most complex for implementation on modern computers both because of their strong connectivity and because of the complex nature of the problem
The paper deals with the computer implementation of direct computational experiments in fluid mechanics, constructed on the basis of the approach developed by the authors
The proposed approach allows the use of explicit numerical scheme, which is an important condition for increasing the efficiency of the algorithms developed by numerical procedures with natural parallelism
Summary
The problems of the Computational Fluid Dynamics (CFD) are among the most complex for implementation on modern computers both because of their strong connectivity and because of the complex nature of the problem. The calculation of flows is associated with the solution of Navier-Stokes equations The problems in this area can be divided into three broad groups [1]: 1. Such ideal forms were due to the method of approximation using large meshes This causes a very big problem in the solution, because in reality most of these features are absent. Problems of numerical schemes instability in this case are avoided by providing a large particle with additional degrees of freedom. The efficiency of the calculations (especially in the case of direct numerical schemes) depends significantly on the description of the modeled objects, computational meshes and possibilities of their transformation and manipulation [5], [6]. Special attention is paid to programming procedures, which take into account the architecture of the computing systems
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