Maths for (Games) Programmers Section 6 - Multivector Physics

Introduction

Physical Units
Length
Charge
The Fine Structure Constant
Composite Units
Non-S.I. Units     Planck System
Notable lengths
Time Quantisation
Notable masses
Notable speeds
Conclusions

Multivector Kinematics and Dynamics
Introduction
Kinematics
Stances     Composing Stances     Kinematics     UN Spinor Representation     GHC spinor form     Subbody motion
Rigid Body Dynamics
Rigid Bodies     Kinetic Energy     BiMomentum
Inertia Tensors
N-D Inertia 2-Multiform     Inertia Tensors for Particular 2D Laminae     Inertia Tensors For Particular 3D Bodies
Multi-Particle Systems
Multiparticle Potentials
Rigid Body Moving Through a fluid

Fluid Mechanics
Introduction
Classical Flows
Classical Pressure     Small peturbation sound waves     Navier-Stokes     Vorticity     Circulation     Reynolds Number
Complex Potential
Stream Function     Velocity Potential     Complex representations of 2D Flows     Complex Potential     Uniform Â2 Flow Past a Circular Boundary     Circular Â2 Flow Past a Circular Boundary     ÂN flow around hypershpehrical boundary     Biimpulse exerted on a 2D boundary
Conformal flow warping
Â2 Flow Past a sharp edged 2D Boundary     Joukowski-Kutta Condition     Aerofoil Waffle     Lift Proportionate to v2     Force Velocity Coefficients     Torque Velocity Coefficients     Bimpulses due to spin     Propellers     Body Frame Coefficients     Speed of Sound     Body as rigid amalgamation of simpler subbodies
Leftovers
Problems with 1-flows      Flow rond moving sphere

Extremal M-Curves
Euler-Lagrange Equations     Generalised Momentum     Extremal surfaces

References/Source Material for Multivector Physics

Glossary   Contents   Author
Copyright (c) Ian C G Bell 1998, 2014
Web Source: www.iancgbell.clara.net/maths
Latest Edit: 15 Jun 2014.