Applied mathematics

Tensor representation of explicit numerical schemes for continuous-corpuscular stages of computing experiments in fluid mechanics

V. N. Khramushin

St. Petersburg State University, 7/9, Universitetskaya embankment, St. Petersburg, 199034, Russian Federation

Abstract: Generalized functional and algorithmic constructions of direct computational experiments with explicit numerical schemes for the simulation of non-stationary processes in hydromechanics are presented. We show how such constructions allow to monitor computing objects and processes in tensor form for widespread local adaptation of solutions to real or empirical laws of motion and the internal state of a continuous medium. Bibliogr. 11. Il. 1. Table 1.

Keywords: algorithm, large particles, tensor mathematics, computational fluid dynamics.

UDC: 519.6

Received: February 17, 2015

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