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Nvidia Tesla K20 vs Intel Core i7: Speed Comparison

Jan 24, 2014

Simmakers Ltd, together with Nvidia and Forsite have tested the speed of a GPU version of the Frost 3D Universal software package for solving heat transfer problems on the Nvidia Tesla K20 system. The results have exceeded all expectations — the computation for an ice wall around the Fukushima Nuclear Power Plant was completed in under 6 minutes.

In order to carry out a detailed comparison of the computational speeds on systems with different configurations, Simmakers prepared special tests that included the following model dimensions:

1) 1 million cells (100x100x100);

2) 3.4 million cells (150x150x150);

3) 8 million cells (200x200x200);

4) 15.6 million cells (250x250x250);

5) 27 million cells (300x300x300);

6) 42.9 million cells (350x350x350);

7) 64 million cells (400x400x400);

8) 91 million cells (450x450x450).

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Application of CUDA Technology in Computer Simulation of Heat Processes

Dec 02, 2013

Today, the computation of thermal fields is highly sought for solving a large number of applied problems. They include simulation of heat treatment processes, welding, temperature conditions of machine-building constructions and electronic devices, ground freezing and thawing, and more. The computation of thermal fields is generally a nonlinear problem as the thermophysical properties of materials depend on temperature. The problem also becomes significantly more complex when phase transitions take place, as these phenomena involve abrupt changes in the thermal properties of the material and the release (or absorption) of heat. Computer simulation of all these processes is based on the numerical solution of the heat equation, i.e. differential equation in partial derivatives.

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Article about Frost 3D Universal in the “Journal of Oil and Gas Construction”

Oct 11, 2013

Journal Oil and gas construction

The article “Application of the Frost 3D Universal Software for Three-dimensional Simulation of Temperature Distribution in Permafrost during Thermal Stabilization”(#3/2013) has been published in Russian “Journal of Oil and Gas Construction”.

This article is devoted to the application of the Frost 3D Universal software developed by Simmakers Ltd for the computation of 3D temperature fields in foundations of constructions built in the Far North.

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Article in the Peer-Reviewed Journal “Applied and Computational Mathematics”

Aug 23, 2013

The article “Consistency of the Douglas–Rachford splitting algorithm for the sum of three nonlinear operators: application to the Stefan problem in permafrost” was published in the peer-reviewed journal Applied and Computational Mathematics Vol. 2, No. 4, August 2013.

Abstract: Consistency of the Douglas–Rachford dimensional splitting scheme is proved for the sum of three nonlinear operators constituting an evolution equation. It is shown that the operators must be densely defined, maximal monotone and single valued on a real Hilbert space in order to satisfy conditions, under which the splitting algorithm can be applied. Numerical experiment conducted for a three-dimensional Stefan problem in permafrost suggests that the Douglas–Rachford scheme produces reasonable results, although the convergence rate remains unestablished.

Numerical experiment, conducted for 3D Stefan problem in permafrost indicates that Douglas-Rachford algorithm gives reliable results, although the convergence rate remains unknown.
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