Difference between revisions of "User:Tohline/Appendix/Ramblings/Hybrid Scheme Implications"

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==Background==
==Background==


[[User:Tohline/PGE/RotatingFrame|Traditional Description of Rotating Reference Frame]]
===Key H_Book Chapters===


[[User:Tohline/Appendix/Ramblings/Hybrid_Scheme_old#Hybrid_Advection_Scheme|Hybrid Advection Scheme]]
[Ref01]   [[User:Tohline/PGE/Euler#Euler_Equation|Inertial-Frame Euler Equation]]


[[User:Tohline/ThreeDimensionalConfigurations/RiemannStype#Based_on_Detailed_Force_Balance|Riemann S-type Ellipsoids]]
[Ref02]   [[User:Tohline/PGE/RotatingFrame|Traditional Description of Rotating Reference Frame]]


[[User:Tohline/Apps/Korycansky_Papaloizou_1996#Korycansky_and_Papaloizou_.281996.29|Korycansky and Papaloizou (1996)]]
[Ref03]   [[User:Tohline/Appendix/Ramblings/Hybrid_Scheme_old#Hybrid_Advection_Scheme|Hybrid Advection Scheme]]
 
[Ref04]   [[User:Tohline/ThreeDimensionalConfigurations/RiemannStype#Based_on_Detailed_Force_Balance|Riemann S-type Ellipsoids]]
 
[Ref05]   [[User:Tohline/Apps/Korycansky_Papaloizou_1996#Korycansky_and_Papaloizou_.281996.29|Korycansky and Papaloizou (1996)]]
 
===Principal Governing Equations===
 
Quoting from [Ref01] … Among the [[User:Tohline/PGE#Principal_Governing_Equations|principal governing equations]] we have included the
 
<div align="center">
<span id="ConservingMomentum:Lagrangian"><font color="#770000">'''Lagrangian Representation'''</font></span><br />
of the Euler Equation,
 
{{User:Tohline/Math/EQ_Euler01}}
 
[<b>[[User:Tohline/Appendix/References#EFE|<font color="red">EFE</font>]]</b>], Chap. 2, &sect;11, p. 20, Eq. (38)<br />
[<b>[[User:Tohline/Appendix/References#BLRY07|<font color="red">BLRY07</font>]]</b>], p. 13, Eq. (1.55)
 
</div>






{{LSU_HBook_footer}}
{{LSU_HBook_footer}}

Revision as of 20:52, 25 August 2020

Implications of Hybrid Scheme

Whitworth's (1981) Isothermal Free-Energy Surface
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Background

Key H_Book Chapters

[Ref01]   Inertial-Frame Euler Equation

[Ref02]   Traditional Description of Rotating Reference Frame

[Ref03]   Hybrid Advection Scheme

[Ref04]   Riemann S-type Ellipsoids

[Ref05]   Korycansky and Papaloizou (1996)

Principal Governing Equations

Quoting from [Ref01] … Among the principal governing equations we have included the

Lagrangian Representation
of the Euler Equation,

LSU Key.png

<math>\frac{d\vec{v}}{dt} = - \frac{1}{\rho} \nabla P - \nabla \Phi</math>

[EFE], Chap. 2, §11, p. 20, Eq. (38)
[BLRY07], p. 13, Eq. (1.55)


Whitworth's (1981) Isothermal Free-Energy Surface

© 2014 - 2021 by Joel E. Tohline
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Recommended citation:   Tohline, Joel E. (2021), The Structure, Stability, & Dynamics of Self-Gravitating Fluids, a (MediaWiki-based) Vistrails.org publication, https://www.vistrails.org/index.php/User:Tohline/citation