Publication

Robust 3D Dynamic Triangulations for Collision Detection in DEM Simulations of Granular Materials

Thomas Liebling, Jean-Albert Ferrez
2002
Journal Articles

Abstract

Computer simulations of granular materials based on the distinct element method (DEM) are now commonly used in the design and optimization of industrial processes. One of the leading mathematical approach to DEM uses dynamic triangulations for detecting collisions among moving spheres, and relies on advanced data structures and on the exact numerical evaluation of computational geometry predicates. This paper outlines the simulation method and introduces the robust and adaptive computation of predicates using standard floating point operations. Finally, some application examples are shown.

Official source

https://infoscience.epfl.ch/entities/publication/5eb4c0bd-5bb2-4d2f-9bdf-4606d5c71d4b

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Thomas Liebling, Jean-Albert Ferrez
2002
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/5eb4c0bd-5bb2-4d2f-9bdf-4606d5c71d4b

About this result

Related concepts (32)

Computer simulation

Computer simulation is the process of mathematical modelling, performed on a computer, which is designed to predict the behaviour of, or the outcome of, a real-world or physical system. The reliability of some mathematical models can be determined by comparing their results to the real-world outcomes they aim to predict. Computer simulations have become a useful tool for the mathematical modeling of many natural systems in physics (computational physics), astrophysics, climatology, chemistry, biology and manufacturing, as well as human systems in economics, psychology, social science, health care and engineering.

Simulation

A simulation is the imitation of the operation of a real-world process or system over time. Simulations require the use of models; the model represents the key characteristics or behaviors of the selected system or process, whereas the simulation represents the evolution of the model over time. Often, computers are used to execute the simulation. Simulation is used in many contexts, such as simulation of technology for performance tuning or optimizing, safety engineering, testing, training, education, and video games.

Floating-point arithmetic

In computing, floating-point arithmetic (FP) is arithmetic that represents subsets of real numbers using an integer with a fixed precision, called the significand, scaled by an integer exponent of a fixed base. Numbers of this form are called floating-point numbers. For example, 12.345 is a floating-point number in base ten with five digits of precision: However, unlike 12.345, 12.3456 is not a floating-point number in base ten with five digits of precision—it needs six digits of precision; the nearest floating-point number with only five digits is 12.

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Robust 3D Dynamic Triangulations for Collision Detection in DEM Simulations of Granular Materials

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