SSE Vectorized and GPU Implementations of Arakawa's Formula for Numerical Integration of Equations of Fluid Motion

2011 ◽  
Author(s):  
Evren Yurtesen ◽  
Matti Ropo ◽  
Mats Aspnas ◽  
Jan Westerholm
Keyword(s):  
Numerical Integration ◽  
Fluid Motion

The orbit of Pluto over a long interval of time

1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer
Keyword(s):  
Periodic Orbit ◽  
Numerical Integration ◽  
Restricted Problem ◽  
Three Dimensional ◽  
The Third ◽  
Circular Restricted Problem ◽  
Resonance Relation

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.

NUMERICAL INTEGRATION IN THE PRESENCE OF SINGULARITIES

1981 ◽  
Vol 1 (1) ◽  
pp. 83-85 ◽  
Author(s):  
Moran P.A.P.
Keyword(s):  
Numerical Integration

INFLUENCE OF HEAT TREATMENT OF MOUNTAIN MASSIVE ON TEMPERATURE MODE OF GEOTHERMAL CIRCULATION SYSTEM

2018 ◽  
pp. 44-50
Author(s):  
Yu. P. Morozov
Keyword(s):  
Heat Transfer ◽  
Operating Time ◽  
Fluid Motion ◽  
Coolant Temperature ◽  
Circulation System ◽  
Thermal Processes ◽  
Temperature Mode ◽  
Heat Influx ◽  
Stationary Heat Transfer

Based on the solution of the problem of non-stationary heat transfer during fluid motion in underground permeable layers, dependence was obtained to determine the operating time of the geothermal circulation system in the regime of constant and falling temperatures. It has been established that for a thickness of the layer H <4 m, the influence of heat influxes at = 0.99 and = 0.5 is practically the same, but for a thickness of the layer H> 5 m, the influence of heat inflows depends significantly on temperature. At a thickness of the permeable formation H> 20 m, the heat transfer at = 0.99 has virtually no effect on the thermal processes in the permeable formation, but at = 0.5 the heat influx, depending on the speed of movement, can be from 50 to 90%. Only at H> 50 m, the effect of heat influx significantly decreases and amounts, depending on the filtration rate, from 50 to 10%. The thermal effect of the rock mass with its thickness of more than 10 m, the distance between the discharge circuit and operation, as well as the speed of the coolant have almost no effect on the determination of the operating time of the GCS in constant temperature mode. During operation of the GCS at a dimensionless coolant temperature = 0.5, the velocity of the coolant is significant. With an increase in the speed of the coolant in two times, the error changes by 1.5 times.

SIRTF Controller Simulation: Instability Masked by Numerical Integration

1988 ◽  
Author(s):  
N. Rajan ◽  
F. J. Alexandro ◽  
J. Hirata
Keyword(s):  
Numerical Integration

On a flight safety problem - Internal fluid motion in an aircraft

1995 ◽  
Author(s):  
V Vyshinskij ◽  
S Kravchenko
Keyword(s):  
Fluid Motion ◽  
Flight Safety ◽  
Safety Problem ◽  
Internal Fluid
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