scholarly journals Convergence of Vortex Methods for Euler's Equations

1978 ◽  
Vol 32 (143) ◽  
pp. 791 ◽  
Author(s):  
Ole Hald ◽  
Vincenza Mauceri Del Prete
Keyword(s):  
Vortex Methods ◽  
Euler’S Equations ◽  
Euler's Equations

Convergence of Vortex Methods for Euler’s Equations, III

1987 ◽  
Vol 24 (3) ◽  
pp. 538-582 ◽  
Author(s):  
Ole H. Hald
Keyword(s):  
Vortex Methods ◽  
Euler’S Equations ◽  
Euler's Equations

scholarly journals Convergence of vortex methods for Euler’s equations

1978 ◽  
Vol 32 (143) ◽  
pp. 791-791 ◽  
Author(s):  
Ole Hald ◽  
Vincenza Mauceri del Prete
Keyword(s):  
Vortex Methods ◽  
Euler’S Equations ◽  
Euler's Equations

Convergence of Vortex Methods for Euler’s Equations. II

1979 ◽  
Vol 16 (5) ◽  
pp. 726-755 ◽  
Author(s):  
Ole H. Hald
Keyword(s):  
Vortex Methods ◽  
Euler’S Equations ◽  
Euler's Equations

A physics-based turbocharger model for automotive diesel engine control applications

2018 ◽  
Vol 233 (7) ◽  
pp. 1667-1686 ◽  
Author(s):  
Kang Song ◽  
Devesh Upadhyay ◽  
Hui Xie
Keyword(s):  
Mass Flow Rate ◽  
Mass Flow ◽  
Flow Rate ◽  
Turbine Rotor ◽  
Variable Geometry ◽  
Gas Velocity ◽  
Euler’S Equations ◽  
Variable Geometry Turbine ◽  
Euler's Equations ◽  
Compressor Power

Control-oriented models of turbocharger processes such as the compressor mass flow rate, the compressor power, and the variable geometry turbine power are presented. In a departure from approaches that rely on ad hoc empirical relationships and/or supplier provided performance maps, models based on turbomachinery physics and known geometries are attempted. The compressor power model is developed using Euler’s equations of turbomachinery, where the gas velocity exiting the rotor is estimated from an empirically identified correlation for the ratio between the radial and tangential components of the gas velocity. The compressor mass flow rate is modeled based on mass conservation, by approximating the compressor as an adiabatic converging-diverging nozzle with compressible fluid driven by external work input from the compressor wheel. The variable geometry turbine power is developed with Euler’s equations, where the turbine exit swirl and the gas acceleration in the vaneless space are neglected. The gas flow direction into the turbine rotor is assumed to align with the orientation of the variable geometry turbine vane. The gas exit velocity is calculated, similar to the compressor, based on an empirical model for the ratio between the turbine rotor inlet and exit velocities. A power loss model is also proposed that allows proper accounting of power transfer between the turbine and compressor. Model validation against experimental data is presented.

299. [E. 8. β.] Euler’s Equations deduced from Gyroscopic Resistance

1909 ◽  
Vol 5 (82) ◽  
pp. 161-162
Author(s):  
H. Crabtree
Keyword(s):  
Euler’S Equations ◽  
Euler's Equations

scholarly journals Dispersive deformations of the Hamiltonian structure of Euler’s equations

2016 ◽  
Vol 188 (3) ◽  
pp. 1296-1304 ◽  
Author(s):  
M. Casati
Keyword(s):  
Hamiltonian Structure ◽  
Euler’S Equations ◽  
Euler's Equations

GRAPHIC TREATMENT OF EULER'S EQUATIONS

Science ◽  
1927 ◽  
Vol 66 (1700) ◽  
pp. 114-115
Author(s):  
C. Barus
Keyword(s):  
Euler’S Equations ◽  
Euler's Equations

A new mathematical construction of the general nonlinear ODEs of motion in rigid body dynamics (Euler’s equations)

2011 ◽  
Vol 217 (21) ◽  
pp. 8534-8542 ◽  
Author(s):  
Dimitrios E. Panayotounakos ◽  
Ioanna Rizou ◽  
Efstathios E. Theotokoglou
Keyword(s):  
Rigid Body ◽  
Rigid Body Dynamics ◽  
Nonlinear Odes ◽  
Euler’S Equations ◽  
Body Dynamics ◽  
Euler's Equations ◽  
Mathematical Construction

A Simplified Variation of Parameters Approach to Euler’s Equations

1999 ◽  
Vol 66 (1) ◽  
pp. 273-276 ◽  
Author(s):  
D. L. Richardson ◽  
J. W. Mitchell
Keyword(s):  
Euler Equations ◽  
Angular Displacement ◽  
Variation Of Parameters ◽  
Euler’S Equations ◽  
Euler's Equations ◽  
New Form

A normalized form of Euler’s equations is rewritten in a variation of parameters approach using amplitudes and angular displacement as parameters. This new form is compact and yields a more accurate numerically integrated solution over longer simulation times than does a conventional integration of the Euler equations.

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