Lagrangian

The Lagrangian Pendulum Spring model asks students to solve the Lagrangian for a spring-pendulum and then develop a model of it. It is distributed as a ready-to-run (compiled) Java archive. Double-clicking the ejs_CM_Lagrangian_pendulum_spring.jar file will run the program if Java is installed....

attempt to create a nice and well-working 2D simulation game using exlusively Lagrangian equations of motion. The first one of the ongoing series is a 2D motocross game similar to X-Moto, ActionSupercross and such. Using Lagrangians in games is not a well documented thing, but it allows to...

Lagrange is a function that calculate equations of motion (Lagrange's equations) d/dt(dL/d(dq))- dL/dq=0. It Uses the Lagrangian that is a function that summarizes thedynamics of the system. Symbolic Math Toolbox is required.


Platforms: Matlab

A very small 3D smoke animation solver that uses the semi-Lagrangian advection and the multigrid pressure solver. There's no dependencies: it only calls standard C functions like fprintf().


Platforms: Mac

The Rocking Semicircular Hoop model shows the dynamics of a simple object rocking without slipping on a horizontal surface. It is a supplemental simulation for an article by Leaf Turner and Ari Turner "Asymmetric rolling bodies and the phantom torque" in the Am. J. Phys. 78, 905 (2010). The...


Platforms: Mac

Handles Hexahedral, Tetrahedral, Quadrilateral, and Triangle meshes. Lagrangian, Hierarchic, and Monomial finite elements. Interface to PETSc solvers, adaptive mesh refinement, and extreme portablility.


Platforms: Mac, BSD, Solaris, Linux

TANGO Project web page: http://www.ime.usp.br/~egbirgin/tango/ALGENCAN: Fortran code for general nonlinear programming that does not use matrix manipulations at all and, so, is able to solve extremely large problems with moderate computer time. The general algorithm is of Augmented Lagrangian...


Platforms: Matlab

A mass constrained to move on a rotating hoop is an excellent mechanical model of first- and second-order phase transitions. Although the minimum of the potential energy curve corresponds to the bottom of the hoop at low rotation frequency, a spontaneous symmetry breaking (cusp catastrophe)...


Platforms: Mac

The Falling U-Shaped Chain model simulates the dynamics of a discrete falling chain with total length L and n links. Each link is acted on by the force of gravity mg and by the link-link interaction. A freely falling object is released near the last link for comparison. The surprise is that the...


Platforms: Mac

The Tethered Mass and Spring model shows a mass constrained to move in the x-direction by a horizontal rod and connected to a spring of natural length L = 10. One end of the spring is connected to a movable (draggable) ceiling and the other end is connected to the mass. Users can drag the mass...


Platforms: Mac