- Видео 5
- Просмотров 3 059 572
braintruffle
Германия
Добавлен 10 ноя 2020
Former non-linear dynamics researcher; now, science educator. 1000-3000 hours of my time go into every single video. I condense numerous research papers and run tons of my own simulations to offer you the key insights.
Help fund future videos via Patreon (my preferred choice) or PayPal.
Help fund future videos via Patreon (my preferred choice) or PayPal.
Master the Complexity of Spaceflight
Think of Kerbal Space PROBABILITY.
Extended video incl. chapter 5 - www.patreon.com/braintruffle
Topics
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• Interplanetary transport network
• Manifold hopping
• Weak stability boundary
• Lagrange point orbit bifurcations: Lyapunov - Halo - etc.
• Low-energy transfers: 4-/3-body model - effective potential - Coriolis force - zero-velocity curves
• Phase spaces (n- vs. 1-particle)
• Oberth effect via phase space in 1D & 2D: why parabolas are Oberth-efficient
• Probability vs. reachability
• Ray vs. grid tracing
• Symplectic time integration
• Continuous- vs. non-continuous firing
Timetable
----------------
00:00 - INTRO: Why probability tracing?
00:46 - What makes it a tricky problem?
3:50 - Why ra...
Extended video incl. chapter 5 - www.patreon.com/braintruffle
Topics
-----------
• Interplanetary transport network
• Manifold hopping
• Weak stability boundary
• Lagrange point orbit bifurcations: Lyapunov - Halo - etc.
• Low-energy transfers: 4-/3-body model - effective potential - Coriolis force - zero-velocity curves
• Phase spaces (n- vs. 1-particle)
• Oberth effect via phase space in 1D & 2D: why parabolas are Oberth-efficient
• Probability vs. reachability
• Ray vs. grid tracing
• Symplectic time integration
• Continuous- vs. non-continuous firing
Timetable
----------------
00:00 - INTRO: Why probability tracing?
00:46 - What makes it a tricky problem?
3:50 - Why ra...
Просмотров: 356 937
Видео
The simplest flow physics that still makes sense
Просмотров 139 тыс.2 года назад
A vivid introduction to fluid simulation. Topics covered: rarefied gas dynamics, continuum gas dynamics, fluid motion descriptions & coordinates (spatially fixed (Eulerian), material-fixed (Lagrangian), arbitrary), reducibility aspects, motivation on modeling unresolved flow structures, ensemble averages of microscopically and macroscopically varying data, usefulness of the modeling hierarchy, ...
Running back in time is *not* recalling the past
Просмотров 62 тыс.2 года назад
This follow-up discusses fluid simulation related information reduction in view of time irreversibility of the governing evolution equations. We gain an overview of a statistical perspective on the microscopic motion and highlight the implied time irreversibility as well as the exclusion of anti-dissipation. Topics covered/used: Kinetic Theory of Gases, Boltzmann Equation, One-Particle Phase Sp...
There is fluid flow *without* many particles
Просмотров 203 тыс.3 года назад
This is the second part in a series about Computational Fluid Dynamics where we build a Fluid Simulator from scratch. We derive the Macroscopic Perspective (Continuum) from the Microscopic Perspective (Molecules) covering: Collective Molecular Behavior, Local (Non-)Equilibria, Classical Statistical Mechanics, Rarefied Gas Dynamics, and Continuum Gas Dynamics. The Macroscopic Perspective provide...
Fluid dynamics feels natural once you start with quantum mechanics
Просмотров 2,3 млн3 года назад
This is the first part in a series about Computational Fluid Dynamics where we build a Fluid Simulator from scratch. We highlight the Microscopic Perspective on Quantum Mechanics, Molecular Dynamics, and the Kinetic Theory of Gases that underlies and justifies Fluid Simulation Formulations in the first place. The Microscopic Perspective provides the ground for the next part where we focus on th...