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• 18:53, 5 July 2024 Joel2 talk contribs created page File:Yabushita1975Intro1.png
• 18:53, 5 July 2024 Joel2 talk contribs uploaded File:Yabushita1975Intro1.png
• 18:52, 5 July 2024 Joel2 talk contribs created page File:Yabushita1975Summary.png
• 18:52, 5 July 2024 Joel2 talk contribs uploaded File:Yabushita1975Summary.png
• 18:49, 5 July 2024 Joel2 talk contribs created page File:SC 42EvolutionArrows.png
• 18:49, 5 July 2024 Joel2 talk contribs uploaded File:SC 42EvolutionArrows.png
• 18:48, 5 July 2024 Joel2 talk contribs created page File:Qvsnu51b2.png
• 18:48, 5 July 2024 Joel2 talk contribs uploaded File:Qvsnu51b2.png
• 18:46, 5 July 2024 Joel2 talk contribs created page File:SC42 Fig1.jpg
• 18:46, 5 July 2024 Joel2 talk contribs uploaded File:SC42 Fig1.jpg
• 18:45, 5 July 2024 Joel2 talk contribs created page File:HenrichChandra41b.jpg
• 18:45, 5 July 2024 Joel2 talk contribs uploaded File:HenrichChandra41b.jpg
• 18:44, 5 July 2024 Joel2 talk contribs created page File:SC42excerpt.jpg
• 18:44, 5 July 2024 Joel2 talk contribs uploaded File:SC42excerpt.jpg
• 18:41, 5 July 2024 Joel2 talk contribs created page File:TruncatedPolytropeMvsR2.png
• 18:41, 5 July 2024 Joel2 talk contribs uploaded File:TruncatedPolytropeMvsR2.png
• 18:40, 5 July 2024 Joel2 talk contribs created page File:Stahler MRdiagram1.png
• 18:40, 5 July 2024 Joel2 talk contribs uploaded File:Stahler MRdiagram1.png
• 18:34, 5 July 2024 Joel2 talk contribs created page File:EvolutionArrows01.png
• 18:34, 5 July 2024 Joel2 talk contribs uploaded File:EvolutionArrows01.png
• 18:33, 5 July 2024 Joel2 talk contribs created page File:Bonnor1956Fig1reproduced.jpg
• 18:33, 5 July 2024 Joel2 talk contribs uploaded File:Bonnor1956Fig1reproduced.jpg
• 18:30, 5 July 2024 Joel2 talk contribs created page File:EbertFig2Title.png
• 18:30, 5 July 2024 Joel2 talk contribs uploaded File:EbertFig2Title.png
• 18:23, 5 July 2024 Joel2 talk contribs created page SSC/FreeEnergy/EquilibriumSequenceInstabilities (Created page with "__FORCETOC__ =Instabilities Associated with Equilibrium Sequence Turning Points= Detailed derivations and discussions that underpin this chapter can be found in a chapter of our ''Ramblings Appendix''. ==Statement of the Problem== We can construct detailed force-balance (DFB) models of spherically symmetric, ''isolated'' polytropes over the entire range of polytropic indexes: <math>~\infty \ge n \ge 0<...")
• 13:52, 5 July 2024 Joel2 talk contribs created page File:JacobiWithDynamicalLimit02.png
• 13:52, 5 July 2024 Joel2 talk contribs uploaded File:JacobiWithDynamicalLimit02.png
• 13:51, 5 July 2024 Joel2 talk contribs created page File:CKST95bFig1annotated.png
• 13:51, 5 July 2024 Joel2 talk contribs uploaded File:CKST95bFig1annotated.png
• 13:50, 5 July 2024 Joel2 talk contribs created page File:ES81OneRingWithInsetBox.png
• 13:50, 5 July 2024 Joel2 talk contribs uploaded File:ES81OneRingWithInsetBox.png
• 13:47, 5 July 2024 Joel2 talk contribs created page File:CKST95dAnnotated.png
• 13:47, 5 July 2024 Joel2 talk contribs uploaded File:CKST95dAnnotated.png
• 13:46, 5 July 2024 Joel2 talk contribs created page File:FirstIdeasAnnotated.png
• 13:46, 5 July 2024 Joel2 talk contribs uploaded File:FirstIdeasAnnotated.png
• 13:43, 5 July 2024 Joel2 talk contribs created page Appendix/Ramblings/TrigFunctions (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Analytic Expressions for Selected Trigonometric Functions= In what follows we generally will provide expressions that result from evaluating <math>\sin\theta</math>, with the understanding that <math>\cos\theta</math> and <math>\tan\theta</math> then also can be evaluated straightforwardly via the familiar relations, <table border="0" align="center" cellpadding="5"> <tr> <td align="right"><math>\cos\theta</math></td...")
• 13:39, 5 July 2024 Joel2 talk contribs created page File:OurHE84Fig1annotated.png
• 13:39, 5 July 2024 Joel2 talk contribs uploaded File:OurHE84Fig1annotated.png
• 18:41, 4 July 2024 Joel2 talk contribs created page PGE/RotatingFrameOld (Created page with "__FORCETOC__ <!-- __NOTOC__ --> <font color="red"><b> NOTE to Eric Hirschmann & David Neilsen... </b></font> I have moved the earlier contents of this page to a new Wiki location called Compressible Riemann Ellipsoids. =Rotating Reference Frame= At times, it can be useful to view the motion of a fluid from a frame of reference that is rotating with a uniform (''i.e.,'' time-independent) angular velocity <math>~\Omega_f</math>...")
• 18:23, 4 July 2024 Joel2 talk contribs created page Appendix/Ramblings/HybridSchemeImplications (Created page with "__FORCETOC__ <!-- __NOTOC__ --> =Implications of Hybrid Scheme= ==Background== ===Key H_Book Chapters=== [Ref01]   Inertial-Frame Euler Equation [Ref02]   Traditional Description of Rotating Reference Frame [Ref03]   Hybrid Advection Scheme [Ref04]   ThreeDimensionalConfigurations/RiemannStype#Based_on_Detailed_Force_Balance|Rieman...")
• 18:10, 4 July 2024 Joel2 talk contribs created page Appendix/Ramblings/HybridSchemeOld (Created page with "__FORCETOC__ <!-- __NOTOC__ --> =Hybrid Advection Scheme= ==Preface== ''March 1, 2014'' by Joel E. Tohline <full preface> … This seemed too good to be true. The discovered code modification would allow us to conserve angular momentum very accurately and, at the same time, allow us to use a rotating grid and thereby minimize numerical diffusion … <read more> In his dissertation research, Jay Call...")
• 18:07, 4 July 2024 Joel2 talk contribs created page PGE/AStarScheme (Created page with "__FORCETOC__ <!-- __NOTOC__ --> =Hybrid Advection Scheme (Background)= ''March 1, 2014'' by Joel E. Tohline As is mentioned in the preface to our primary discussion of the Hybrid Advection Scheme, my early notes on this topic were included in my earliest version of this web-based H_Book. The relevant page can be accessed [http://www.phys.lsu.edu/astro/H_Book.current/Context/PGE/angmom.conserve.html via this...")
• 18:05, 4 July 2024 Joel2 talk contribs created page PGE/HybridSchemePreface (Created page with "__FORCETOC__ <!--__NOTOC__ --> =Hybrid Advection Scheme (Preface)= Go to: Hybrid Advection Scheme ''March 1, 2014'' by Joel E. Tohline Throughout my research career, I have sought new or modified techniques and algorithms that would allow my group to perform more accurate numerical simulations of astrophysical fluid flows. At the beginning — following the advice of my dissertation co-advisors, Pete...")
• 17:58, 4 July 2024 Joel2 talk contribs created page Appendix/PolytropicBinaries (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Polytropic Models of Close Binary Star Systems= Over the past half-a-dozen years, Patrick Motl, Mario D'Souza, and Wes Even have used the Hachisu SCF technique to construct 3D equilibrium models of synchronously rotating, tidally distorted binary polytropes. To date, four of these models have been used extensively as initial states for our dynamical simulations of binary mass-transfer. Various properties of these f...")
• 17:38, 4 July 2024 Joel2 talk contribs created page Appendix/Ramblings/Photosphere (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> ==Locating the Photosphere of Stably Accreting Double White Dwarf Binaries== ===Context=== At our regularly scheduled astrophysics group meeting on Monday, 2 May 2011, Juhan Frank and I started debating the answer to the following question: What should the photospheric radius be of the common envelope that surrounds a stably accreting, double white dwarf (DWD) binary? That is, does an accreting DWD binary that is des...")
• 17:37, 4 July 2024 Joel2 talk contribs created page Appendix/Ramblings/Radiation/InitialTemperatures (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Initial Temperature Distributions= In an accompanying Wiki page we've discussed in detail (or see the summary page) how to transform back and forth between cgs units and the dimensionless code units that have been adopted by Dominic Marcello in his radiation-hydro simulations of binary mass-transfer. Here w...")
• 17:35, 4 July 2024 Joel2 talk contribs created page Appendix/Ramblings/Radiation/SummaryScalings (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Summary of Scalings= On an accompanying Wiki page we have explained how to interpret the set of dimensionless units that Dominic Marcello is using in his rad-hydrocode. The following tables summarize some of the mathematical relationships that have been derived in that accompanying discussion. <!-- ***************************************** * * * FIRST TABLE * * ***********...")
• 17:28, 4 July 2024 Joel2 talk contribs created page Appendix/Ramblings/Radiation/CodeUnits (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Marcello's Radiation-Hydro Simulations= ==Determining Code Units== ===Logic Used by Dominic Marcello=== At our group meeting on 21 July 2010, Dominic explained how he had established the values of various coupling constants in his first, long, <math>q_0 = 0.7</math> simulations. In place of the physical constants, {{Math/C_GravitationalConstant}}, {{Math/C_SpeedOfLight}}, {{Math/C_GasConstant}}, and {{Math/C_Radiat...")
• 15:23, 4 July 2024 Joel2 talk contribs created page Apps/RotatingPolytropes/BarmodeLinearTimeDependent (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Onset of Bar-mode Instability in Differentially Rotating, Axisymmetric Polytropes= {| class="CazesDissertation" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:white;" |<b>Initially<br />Axisymmetric<br />& Differentially<br />Rotating<br />Polytropes</b>...")
• 15:19, 4 July 2024 Joel2 talk contribs created page Aps/MaclaurinSpheroidFreeFall (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Free-Fall Collapse of an Homogeneous Spheroid= {| class="FreeFallSpheroid" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:#ffff99;" |<b>Free-Fall<br />Collapse<br />of an<br />Homogeneous<br />Spheroid</b> |} <table border="0" cellpadding="3" align="center" wi...")