Energy conservation in Newmark based time integration algorithms

Energy Conservation in Building

The building sector accumulates approximately a third of the final energy consumption. Consequently, the improvement of the energy efficiency in buildings has become an essential instrument in the energy policies to ensure the energy supply in the mid to long term moreover is the most cost-effective strategy available for reducing carbon dioxide emissions This paper is studying the main objecti...

Explicit Newmark/Verlet algorithm for Time Integration of the Rotational Dynamics of Rigid Bodies

We consider the problem of integration of the initial value problem of the rotational rigid body dynamics. We are motivated by a very practical problem: time integration of the equations of motion of drill bits as they cut through rock. The drill bit geometry is fully three-dimensional, as is the surface of the rock to be cut, and the force laws of cutting, scraping, impacts, and persistent con...

Energy drift in reversible time integration

Energy drift is commonly observed in reversible integrations of systems of molecular dynamics. We show that this drift can be modelled as a diffusion and that the typical energy error after time T is O( √ T ). PACS numbers: 45.10.−b, 05.45.Pq In simulations of conservative systems, the energy H is usually monitored as a check on the calculation. In symplectic integration of Hamiltonian systems,...

Window Design in Ardabil Traditional Houses for Conservation of Energy

Real-time Integration of Energy Storage

Increasing dynamics in power systems on account of renewable integration, electric vehicle penetration and rising demands have resulted in the exploration of energy storage for potential solutions. Recent technologyand industry-driven developments have led to a drastic decrease in costs of these storages, further advocating their usage. This thesis compiles the author’s research on optimal inte...