Computer Research and Modeling, 2015 Volume 7, Issue 3,Pages 767–774(Mi crm247)
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Algorithmic construction of explicit numerical schemes and visualization of objects and processes in the computational experiment in fluid mechanics (spatial geometry methods for tensor approximations of elementary deformable particles and for numerical modeling in computational fluid mechanic)
Abstract:
The paper discusses the design and verification stages in the development of complex numerical algorithms to create direct computational experiments in fluid mechanics. The modeling of physical fields and non-stationary processes of continuum mechanics, it is desirable to rely on strict rules of construction the numerical objects and related computational algorithms. Synthesis of adaptive the numerical objects and effective arithmetic-logic operations can serve to optimize the whole computing tasks, provided strict following and compliance with the original of the laws of fluid mechanics. The possibility of using ternary logic enables to resolve some contradictions of functional and declarative programming in the implementation of purely applied problems of mechanics. Similar design decisions lead to new numerical schemes tensor mathematics to help optimize effectiveness and validate correctness the simulation results. The most important consequence is the possibility of using interactive graphical techniques for the visualization of intermediate results of modeling, as well as managed to influence the course of computing experiment under the supervision of engineers aerohydrodynamics-researchers.
Keywords:tensor mathematics, large particles, fluidmechanics, computational experiment, design, verifying.
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