Real-time direct integration of reduced solid dynamics equations

Real-time Subsystem Integration

Variational-Splitting Time Integration of the Multi-Configuration Time-Dependent Hartree–Fock Equations in Electron Dynamics

We discuss the numerical approximation of the solution to the multi-configuration time-dependent Hartree-Fock (MCTDHF) equations in quantum dynamics. The MCTDHF method approximates the high-dimensional wave function of the time-dependent electronic Schrödinger equation by an antisymmetric linear combination of products of functions depending only on three-dimensional spatial coordinates. The eq...

Real-Time Procedural Solid Texturing

Shortly after its introduction in 1985, procedural solid texturing became a must-have tool in the production-quality graphics of the motion-picture industry. Now, over fifteen years later, we are finally able to provide this feature for the real-time consumer graphics used in videogames and virtual environments. A texture atlas is used to create a 2-D texture map of the 3-D solid texture coordi...

Real-time visualization of nanocrystal solid-solid transformation pathways.

Measurement and understanding of the microscopic pathways materials follow as they transform is crucial for the design and synthesis of new metastable phases of matter. Here we employ femtosecond single-shot X-ray diffraction techniques to measure the pathways underlying solid-solid phase transitions in cadmium sulfide nanorods, a model system for a general class of martensitic transformations....

Real-time Reduced Basis Techniques for Navier-stokes Equations: Optimization of Parametrized Bypass Configurations

Abstract. The reduced basis method on parametrized domains is applied to approximate blood flow through an arterial bypass. The aim is to provide (a) a sensitivity analysis for relevant geometrical quantities of interest in bypass configurations and (b) rapid and reliable prediction of integral functional outputs ( such as fluid mechanics indexes). The goal of this investigation is (i) to achie...