Computer simulation of liquids
Computer simulation of liquids
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Dynamic simulation of nonpenetrating rigid bodies
Dynamic simulation of nonpenetrating rigid bodies
Accurate and efficient simulation of rigid-body rotations
Journal of Computational Physics
The Art of Molecular Dynamics Simulation
The Art of Molecular Dynamics Simulation
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Short Note: Reducing round-off errors in rigid body dynamics
Journal of Computational Physics
Energy stability and fracture for frame rate rigid body simulations
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Algorithm 903: FRB--Fortran routines for the exact computation of free rigid body motions
ACM Transactions on Mathematical Software (TOMS)
Reducing rounding errors and achieving Brouwer's law with Taylor Series Method
Applied Numerical Mathematics
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In this paper the exact analytical solution of the motion of a rigid body with arbitrary mass distribution is derived in the absence of forces or torques. The resulting expressions are cast into a form where the dependence of the motion on initial conditions is explicit and the equations governing the orientation of the body involve only real numbers. Based on these results, an efficient method to calculate the location and orientation of the rigid body at arbitrary times is presented. This implementation can be used to verify the accuracy of numerical integration schemes for rigid bodies, to serve as a building block for event-driven discontinuous molecular dynamics simulations of general rigid bodies, and for constructing symplectic integrators for rigid body dynamics.