Difference between revisions of "User:Tohline/Appendix/Ramblings/Hybrid Scheme Implications"
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==Background== | ==Background== | ||
===Key H_Book Chapters=== | |||
[[User:Tohline/ | [Ref01] [[User:Tohline/PGE/Euler#Euler_Equation|Inertial-Frame Euler Equation]] | ||
[[User:Tohline/ | [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, §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
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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,
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<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)
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